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Artykuły w czasopismach na temat „Auxiliary dynamics”

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Data publikacji: 7 lipca 2024

Data aktualizacji: 7 lipca 2024

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1

Zakharov, Anatoly Yu. "Field Form of the Dynamics of Classical Many- and Few-Body Systems: From Microscopic Dynamics to Kinetics, Thermodynamics and Synergetics". Quantum Reports 4, nr 4 (20.11.2022): 533–43. http://dx.doi.org/10.3390/quantum4040038.

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A method is proposed for describing the dynamics of systems of interacting particles in terms of an auxiliary field, which in the static mode is equivalent to given interatomic potentials, and in the dynamic mode is a classical relativistic composite field. It is established that for interatomic potentials, the Fourier transform of which is a rational algebraic function of the wave vector, the auxiliary field is a composition of elementary fields that satisfy the Klein-Gordon equation with complex masses. The interaction between particles carried by the auxiliary field is nonlocal both in space variables and in time. The temporal non-locality is due to the dynamic nature of the auxiliary field and can be described in terms of functional-differential equations of retarded type. Due to the finiteness mass of the auxiliary field, the delay in interactions between particles can be arbitrarily large. A qualitative analysis of the dynamics of few-body and many-body systems with retarded interactions has been carried out, and a non-statistical mechanisms for both the thermodynamic behavior of systems and synergistic effects has been established.

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2

Zakharov, Anatoly Yu, i Victor V. Zubkov. "Field-Theoretical Representation of Interactions between Particles: Classical Relativistic Probability-Free Kinetic Theory". Universe 8, nr 5 (12.05.2022): 281. http://dx.doi.org/10.3390/universe8050281.

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It was proven that the class of stable interatomic potentials can be represented exactly as a superposition of Yukawa potentials. In this paper, an auxiliary scalar field was introduced to describe the dynamics of a system of neutral particles (atoms) in the framework of classical field theory. In the case of atoms at rest, this field is equivalent to the interatomic potential, but in the dynamic case, it describes the dynamics of a system of atoms interacting through a relativistic classical field. A relativistic Lagrangian is proposed for a system consisting of atoms and an auxiliary scalar field. A complete system of equations for the relativistic dynamics of a system consisting of atoms and an auxiliary field was obtained. A closed kinetic equation was derived for the probability-free microscopic distribution function of atoms. It was shown that the finite mass of the auxiliary field leads to a significant increase in the effect of interaction retardation in the dynamics of a system of interacting particles.

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3

Mu�oz, Gerardo, i William S. Burgett. "Auxiliary ghost fields in statistical dynamics". Journal of Statistical Physics 56, nr 1-2 (lipiec 1989): 59–68. http://dx.doi.org/10.1007/bf01044231.

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4

Keogh, P. S., i M. O. T. Cole. "Contact Dynamic Response With Misalignment in a Flexible Rotor/Magnetic Bearing System". Journal of Engineering for Gas Turbines and Power 128, nr 2 (1.03.2004): 362–69. http://dx.doi.org/10.1115/1.2056530.

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This paper investigates the vibration characteristics of rotor displacement signals in a magnetic bearing system under conditions when rotor contact with auxiliary bearings is possible. Since these signals may be used for feedback control, it is necessary to determine how they may affect the ability of the controller to regain rotor levitation. An experimental system is used to demonstrate the sensitivity of the rotor nonlinear dynamic behavior to unbalance, which is sufficient to cause contact during rotor run-up through rigid-body and flexural mode critical speeds. Complex rotor dynamics may involve contact with more than one auxiliary bearing or bush. Application of appropriate rotating forces to the rotor through a magnetic bearing is also shown to induce similar contact dynamics. Thus, an alternative procedure for assessing the nonlinear rotor dynamic behavior is established with the potential for identification of appropriate control forces. The contact dynamics are also considered in the presence of auxiliary bearing misalignment. Misalignment may arise through physical translation of a housing or through steady-state offset errors in sensor measurements. A misalignment of 50% of the nominal radial clearance is applied at an auxiliary bearing. Various contact modes are evident as the rotor is run up in speed. During rundown, different contact dynamics may be encountered and the level of such hysteresis is assessed.

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5

Zakharov, Anatoly Yu, i Maxim A. Zakharov. "Relativistic model of interatomic interactions in condensed systems". Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 25, nr 4 (12.10.2023): 494–504. http://dx.doi.org/10.17308/kcmf.2023.25/11480.

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A method was proposed to describe the dynamics of systems of interacting atoms in terms of an auxiliary field. The field is equivalent to the specified interatomic potentials at rest, and represents the classical relativistic field under dynamic conditions. It was determined that for central interatomic potentials, allowing for the Fourier transform, the auxiliary field is a superposition of elementary fields satisfying the Klein-Gordon-Fock equation with complex mass parameters

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6

Ebrahimi, Reza, Mostafa Ghayour i Heshmatallah Mohammad Khanlo. "Effects of some design parameters on bifurcation behavior of a magnetically supported coaxial rotor in auxiliary bearings". Engineering Computations 34, nr 7 (2.10.2017): 2379–95. http://dx.doi.org/10.1108/ec-04-2017-0141.

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Purpose This paper aims to present bifurcation analysis of a magnetically supported coaxial rotor model in auxiliary bearings, which includes gyroscopic moments of disks and geometric coupling of the magnetic actuators. Design/methodology/approach Ten nonlinear equations of motion were solved using the Runge–Kutta method. The vibration responses were analyzed using dynamic trajectories, power spectra, Poincaré maps, bifurcation diagrams and the maximum Lyapunov exponent. The analysis was carried out for different system parameters, namely, the inner shaft stiffness, inter-rotor bearing stiffness, auxiliary bearing stiffness and disk position. Findings It was shown that dynamics of the system could be significantly affected by varying these parameters, so that the system responses displayed a rich variety of nonlinear dynamical phenomena, including quasi-periodicity, chaos and jump. Next, some threshold values were provided with regard to the design of appropriate parameters for this system. Therefore, the proposed work can provide an effective means of gaining insights into the nonlinear dynamics of coaxial rotor–active magnetic bearing systems with auxiliary bearings in the future. Originality/value This paper considered the influences of the inner shaft stiffness, inter-rotor bearing stiffness, auxiliary bearing stiffness and disk position on the bifurcation behavior of a magnetically supported coaxial rotor system in auxiliary bearings.

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7

Amador, A., N. Bagatella, R. Cordero i E. Rojas. "Auxiliary fields in the geometrical relativistic particle dynamics". Journal of Physics A: Mathematical and Theoretical 41, nr 11 (4.03.2008): 115401. http://dx.doi.org/10.1088/1751-8113/41/11/115401.

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8

Alshehry, Azzh Saad, Humaira Yasmin, Muhammad Wakeel Ahmad, Asfandyar Khan i Rasool Shah. "Optimal Auxiliary Function Method for Analyzing Nonlinear System of Belousov–Zhabotinsky Equation with Caputo Operator". Axioms 12, nr 9 (28.08.2023): 825. http://dx.doi.org/10.3390/axioms12090825.

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This paper introduces the optimal auxiliary function method (OAFM) for solving a nonlinear system of Belousov–Zhabotinsky equations. The system is characterized by its complex dynamics and is treated using the Caputo operator and concepts from fractional calculus. The OAFM provides a systematic approach to obtain approximate analytical solutions by constructing an auxiliary function. By optimizing the parameters of the auxiliary function, an approximate solution is derived that closely matches the behavior of the original system. The effectiveness and accuracy of the OAFM are demonstrated through numerical simulations and comparisons with existing methods. Fractional calculus enhances the understanding and modeling of the nonlinear dynamics in the Belousov–Zhabotinsky system. This study contributes to fractional calculus and nonlinear dynamics, offering a powerful tool for analyzing and solving complex systems such as the Belousov–Zhabotinsky equation.

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9

Shchelchkov, Kirill Aleksandrovich. "Relative optimality in nonlinear differential games with discrete control". Sbornik: Mathematics 214, nr 9 (2023): 1337–50. http://dx.doi.org/10.4213/sm9851e.

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Two control problems with an obstacle that is the second player in a differential game are considered. The dynamics in the first problem is described by a nonlinear system of differential equations of the first order, whereas the dynamics in the second is described by a nonlinear system of differential equations of the second order. A piecewise constant control with finite set of values is used. The control is aimed at moving arbitrarily closely to a finite trajectory described by an auxiliary control system of simple form, for any actions of the obstacle. For both problems phase constraints on the auxiliary system under which the control of the auxiliary system can be arbitrary are obtained. For any neighbourhood and any control of the auxiliary system satisfying these constraints, there are admissible controls in the original problems ensuring that at each moment of time the phase point of the original system is in the indicated neighbourhood of the corresponding phase point of the auxiliary system. Thus, in view of the above constraints, when the control of the auxiliary system is chosen to be optimal in a certain sense, the original system can move arbitrarily closely to such a solution of the auxiliary system for any actions of the obstacle. Bibliography: 29 titles.

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10

Atkinson, C., J. M. Bastero i I. Miranda. "Path-independent integrals in fracture dynamics using auxiliary fields". Engineering Fracture Mechanics 25, nr 1 (styczeń 1986): 53–62. http://dx.doi.org/10.1016/0013-7944(86)90203-1.

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11

Stumpf, Harald. "Covariant Regularization of Nonlinear Spinorfield Quantum Theories and Probability Interpretation". Zeitschrift für Naturforschung A 55, nr 3-4 (1.04.2000): 415–32. http://dx.doi.org/10.1515/zna-2000-3-408.

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Abstract By a decomposition theorem a higher order nonlinear spinorfield equation can be transformed into a set of first order nonlinear spinorfield equations, i. e. into an auxiliary field formulation which allows canonical quantization. The quantum dynamics of the auxiliary fields is expressed in algebraic Schrödinger representation and admits only unphysical state spaces with indefinite metric. Regularization of the classical theory is transferred into quantum field theory by a noninvertible map from the corresponding auxiliary field state space into an associated physical state space, the metric of which is positive definite. For the effective dynamics in the physical state space probability current conservation is proved, and for physical states which describe composite particle configurations the existence of the state space is demonstrated

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12

de la Sen, M., i Ningsu Luo. "On the uniform exponential stability of linear time-delay systems". International Journal of Mathematics and Mathematical Sciences 2004, nr 64 (2004): 3445–67. http://dx.doi.org/10.1155/s016117120430918x.

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This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay-free system as well as an auxiliary one are globally uniformly exponentially stable and globally uniform exponential stability independent of delay, respectively. The auxiliary system is, typically, part of the overall dynamics of the delayed system but not necessarily the isolated undelayed dynamics as usually assumed in the literature. Since there is a great freedom in setting such an auxiliary system, the obtained stability conditions are very useful in a wide class of practical applications.

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13

Yamanin, A. I. "Features of the dynamics of engines with crank mechanism “Pancake”". Transactions of the Krylov State Research Centre S-I, nr 1 (8.12.2021): 106–8. http://dx.doi.org/10.24937/2542-2324-2021-1-s-i-106-108.

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14

Averboukh, Yu V. "Markov approximations of nonzero-sum differential games". Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 30, nr 1 (marzec 2020): 3–17. http://dx.doi.org/10.35634/vm200101.

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The paper is concerned with approximate solutions of nonzero-sum differential games. An approximate Nash equilibrium can be designed by a given solution of an auxiliary continuous-time dynamic game. We consider the case when dynamics is determined by a Markov chain. For this game the value function is determined by an ordinary differential inclusion. Thus, we obtain a construction of approximate equilibria with the players' outcome close to the solution of the differential inclusion. Additionally, we propose a way of designing a continuous-time Markov game approximating the original dynamics.

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15

Mrzljak, Vedran, Jasna Prpić-Oršić i Tomislav Senčić. "Change in Steam Generators Main and Auxiliary Energy Flow Streams During the Load Increase of LNG Carrier Steam Propulsion System". Pomorstvo 32, nr 1 (20.06.2018): 121–31. http://dx.doi.org/10.31217/p.32.1.15.

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In this paper is presented an analysis of main and auxiliary steam energy flow streams from steam generators during the increase in steam system load at conventional LNG carrier. During the steam system load increase was presented differences in steam pressure and temperature between main and auxiliary steam flow streams. Energy power of the auxiliary flow stream is higher than energy power of the main flow stream only at the lowest steam system loads after which main flow stream takes over primacy at middle and high steam system loads. Cumulative auxiliary energy flow stream was divided on energy flow streams to each auxiliary device and energy power consumption of each auxiliary device was also investigated throughout number steam system loads. Analysis of steam production from marine steam generators presented in this paper provides insight into the operation dynamics of the entire steam propulsion system.

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16

Marinca, Bogdan, Vasile Marinca i Ciprian Bogdan. "Dynamics of SEIR epidemic model by optimal auxiliary functions method". Chaos, Solitons & Fractals 147 (czerwiec 2021): 110949. http://dx.doi.org/10.1016/j.chaos.2021.110949.

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17

Rosen, A., R. G. Loewy i M. B. Mathew. "Unified treatment for dealing with auxiliary conditions in blade dynamics". AIAA Journal 29, nr 6 (czerwiec 1991): 968–76. http://dx.doi.org/10.2514/3.10687.

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18

Litwin, Douglas B., David M. MacLean i Vasanthi Jayaraman. "Reduced Structural Dynamics in Kainate Receptors through Auxiliary Protein Modulation". Biophysical Journal 112, nr 3 (luty 2017): 419a. http://dx.doi.org/10.1016/j.bpj.2016.11.2242.

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19

Ray, Ushnish, i Garnet Kin-Lic Chan. "Constructing auxiliary dynamics for nonequilibrium stationary states by variance minimization". Journal of Chemical Physics 152, nr 10 (14.03.2020): 104107. http://dx.doi.org/10.1063/1.5143144.

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20

Ginzinger, Lucas, Roland Zander i Heinz Ulbrich. "Controller Design for a Rubbing Rotor". Solid State Phenomena 147-149 (styczeń 2009): 203–14. http://dx.doi.org/10.4028/www.scientific.net/ssp.147-149.203.

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A new approach to control a rubbing rotor by applying an active auxiliary bearing is developed. The auxiliary bearing is attached to the foundation via two unidirectional actuators. The control force is applied indirectly using the active auxiliary bearing only in case of rubbing. A framework for the development of a feedback controller for an active auxiliary bearing is presented. The theory of a robust two-phase control strategy which guarantees a smooth transition from free rotor motion to the state of full annular rub is presented. A simulation environment for the elastic rotor and the auxiliary bearing including the non-smooth nonlinear dynamics of the rubbing contact is used to develop the feedback controller. Experimental studies have been carried out at a rotor test rig. Various experiments show the outstanding success of the strategy. In case of rubbing, the contact forces are reduced up to 90%.

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21

Sieffert, Nicolas, Thomas Kendrick, Davide Tiana i Carole A. Morrison. "First principles static and dynamic calculations for the transition metal hydride series MH4L3 (M = Fe, Ru and Os; L = NH3, PH3 and PF3)". Dalton Transactions 44, nr 9 (2015): 4259–70. http://dx.doi.org/10.1039/c4dt02475c.

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22

Wu, Jo-Ti, Jiahn-Horng Chen, Ching-Yeh Hsin i Forng-Chen Chiu. "Dynamics of The FKT System with Different Mooring Lines". Polish Maritime Research 26, nr 1 (1.03.2019): 20–29. http://dx.doi.org/10.2478/pomr-2019-0003.

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Abstract To harness the endless hydrokinetic energy of the Kuroshio current, the joint research team of the National Taiwan University and the National Taiwan Ocean University has developed a floating Kuroshio turbine (FKT) system in Taiwan. In normal operation, the system floats at a certain small depth from the ocean surface to reduce the wave effects and take advantage of faster current speeds. In the present study, the effect of the mooring line on the system dynamics is investigated computationally. Two different auxiliary mooring line designs and, for each design, three different common mooring lines (polyester ropes of neutral buoyancy, iron chains, and 6×19 wires ropes with wire core) are examined. The study makes use of several commercial and in-house packages, integrated to find various coefficients. It is found that the mooring line, the auxiliary mooring line design, and the gravity centre can have a significant effect on system fluctuations in normal operation if the combination of these factors is not properly matched.

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23

Dimitrijevic, Marko, Dragoljub Dimitrijevic, Goran Djordjevic i Milan Milosevic. "Constrained dynamics of tachyon field in FRWL spacetime". Facta universitatis - series: Physics, Chemistry and Technology 17, nr 1, spec.issue (2019): 21–30. http://dx.doi.org/10.2298/fupct1901021d.

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In this paper, we continue the study of tachyon scalar field described by a Dirac-Born-Infeld (DBI) type action with constraints in the cosmological context. The proposed extension of the system introducing an auxiliary field in the minisuperspace framework is discussed. A new equivalent set of constraints is constructed, satisfying the usual regularity conditions.

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24

Yan, Jie, Xiaxia Kang i Ling Yang. "The Trade-Off Mechanism in Mammalian Circadian Clock Model with Two Time Delays". International Journal of Bifurcation and Chaos 27, nr 09 (sierpień 2017): 1750147. http://dx.doi.org/10.1142/s0218127417501474.

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Circadian clock is an autonomous oscillator which orchestrates the daily rhythms of physiology and behaviors. This study is devoted to explore how a positive feedback loop affects the dynamics of mammalian circadian clock. We simplify an experimentally validated mathematical model in our previous work, to a nonlinear differential equation with two time delays. This simplified mathematical model incorporates the pacemaker of mammalian circadian clock, a negative primary feedback loop, and a critical positive auxiliary feedback loop, [Formula: see text] loop. We perform analytical studies of the system. Delay-dependent conditions for the asymptotic stability of the nontrivial positive steady state of the model are investigated. We also prove the existence of Hopf bifurcation, which leads to self-sustained oscillation of mammalian circadian clock. Our theoretical analyses show that the oscillatory regime is reduced upon the participation of the delayed positive auxiliary loop. However, further simulations reveal that the auxiliary loop can enable the circadian clock gain widely adjustable amplitudes and robust period. Thus, the positive auxiliary feedback loop may provide a trade-off mechanism, to use the small loss in the robustness of oscillation in exchange for adaptable flexibility in mammalian circadian clock. The results obtained from the model may gain new insights into the dynamics of biological oscillators with interlocked feedback loops.

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25

Qiu, Bingbing, Guofeng Wang, Yunsheng Fan, Dongdong Mu i Xiaojie Sun. "Adaptive Sliding Mode Trajectory Tracking Control for Unmanned Surface Vehicle with Modeling Uncertainties and Input Saturation". Applied Sciences 9, nr 6 (25.03.2019): 1240. http://dx.doi.org/10.3390/app9061240.

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In the presence of modeling uncertainties and input saturation, this paper proposes a practical adaptive sliding mode control scheme for an underactuated unmanned surface vehicle (USV) using neural network, auxiliary dynamic system, sliding mode control and backstepping technique. First, the radial basis function neural network with minimum learning parameter method (MLP) is constructed to online approximate the uncertain system dynamics, which uses single parameter instead of all weights online learning, leading to a reduction in the computational burdens. Then a hyperbolic tangent function is adopted to reduce the chattering phenomenon due to the sliding mode surface. Meanwhile, the auxiliary dynamic system and the adaptive technology are employed to handle input saturation and unknown disturbances, respectively. In addition, a neural shunting model is introduced to eliminate the “explosion of complexity” problem caused by the backstepping method for virtual control derivation. The stability of the closed-loop system is guaranteed by the Lyapunov stability theory. Finally, simulations are provided to validate the effectiveness of the proposed control scheme.

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26

O’Connor, Helen M., Marco Coletta, Alvaro Etcheverry-Berríos, Gary S. Nichol, Euan K. Brechin i Paul J. Lusby. "Kinetic selection of Pd4L2 metallocyclic and Pd6L3 trigonal prismatic assemblies". Chemical Communications 56, nr 79 (2020): 11799–802. http://dx.doi.org/10.1039/d0cc05311b.

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27

Tang, Renxuan, i Dongfang Li. "On Symmetrical Methods for Charged Particle Dynamics". Symmetry 13, nr 9 (3.09.2021): 1626. http://dx.doi.org/10.3390/sym13091626.

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In this paper, we use the scalar auxiliary variable (SAV) approach to rewrite the charged particle dynamics as a new family of ODE systems. The systems own a conserved energy. It is shown that a family of symmetrical methods is energy-conserving for a new ODE system but may not be for the original systems. Moreover, the methods have high-order accuracy. Numerical results are given to confirm the theoretical findings.

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28

Nahid, Shahriar Muhammad, Shahriar Nahian, Mohammad Motalab, Tawfiqur Rakib, Satyajit Mojumder i Md Mahbubul Islam. "Tuning the mechanical properties of silicene nanosheet by auxiliary cracks: a molecular dynamics study". RSC Advances 8, nr 53 (2018): 30354–65. http://dx.doi.org/10.1039/c8ra04728f.

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29

Inayat-Hussain, Jawaid I. "Nonlinear dynamics of a magnetically supported rigid rotor in auxiliary bearings". Mechanism and Machine Theory 45, nr 11 (listopad 2010): 1651–67. http://dx.doi.org/10.1016/j.mechmachtheory.2010.06.006.

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30

Wang, X., i S. Noah. "Nonlinear Dynamics of a Magnetically Supported Rotor on Safety Auxiliary Bearings". Journal of Vibration and Acoustics 120, nr 2 (1.04.1998): 596–606. http://dx.doi.org/10.1115/1.2893869.

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This study concerns the dynamic response of a rotor landed on auxiliary (catcher) bearings in an Active Magnetic Bearing (AMB) supported rotor, following postulated loss of power or overload of the AMB. An analytical model involving a disk, a shaft and auxiliary bearings on damped flexible supports is constructed and appropriate equations of the nonlinear dynamic system are developed. The equations include a switch function to indicate contact/non-contact events and determine the existence of contact normal forces and tangential friction forces between the shaft and the bearings. Steady state solutions are obtained. An analytical method was formulated and used to yield solutions for cases with well balanced rotors, in absence of any side forces. The Fixed Point Algorithm (FPA) is used to obtain steady state periodic solutions of the unbalanced rotor for various parameters. The FPA is used to determine the stability of the periodic solutions and the type of bifurcation involved. Multiple periodic solutions, quasi-periodic and chaotic responses are detected and discussed. A set of preliminary guidelines for selection of the parameters of the catcher bearings is given.

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31

Lawen, J. L., i G. T. Flowers. "Interaction Dynamics Between a Flexible Rotor and an Auxiliary Clearance Bearing". Journal of Vibration and Acoustics 121, nr 2 (1.04.1999): 183–89. http://dx.doi.org/10.1115/1.2893962.

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This study investigates the application of synchronous interaction dynamics methodology to the design of auxiliary bearing systems. The technique is applied to a flexible rotor system and comparisons are made between the behavior predicted by this analysis method and the observed simulation response characteristics. Of particular interest is the influence of coupled shaft/bearing vibration modes on rotordynamical behavior. Experimental studies are also performed to validate the simulation results and provide insight into the expected behavior of such a system.

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32

Inayat-Hussain, Jawaid I. "Nonlinear Dynamics of a Magnetically Supported Flexible Rotor in Auxiliary Bearings". Journal of Physics: Conference Series 1489 (marzec 2020): 012015. http://dx.doi.org/10.1088/1742-6596/1489/1/012015.

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33

Torno, Susana, i Javier Toraño. "Methane Emission Outbursts in the Mine Face of Two Galleries: Computational Fluid Dynamics Analysis and On-Site Calibration". Energies 16, nr 21 (27.10.2023): 7298. http://dx.doi.org/10.3390/en16217298.

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Numerous cases of serious accidents related to methane outbursts exist worldwide. Due to their disastrous consequences, a vast quantity of research on underground gas explosions has been conducted using conventional models and laboratory tests, as performing studies at explosion sites is difficult. When conventional models are employed, the results are poor since these models are based on calculations at fixed times for a single point of a single section of an underground space. Computational fluid dynamics (CFD) analysis is necessary to calibrate these models, using measurements obtained in galleries. In this case, the measurements are obtained from methane emissions of 3885 m3. CFD modelling was carried out in three phases. First, the relationship between methane emission and the main ventilation was analysed. Second, the effect of adding an auxiliary ventilation fan to the main ventilation was investigated. Finally, methane evolution over time was analysed. In the first moments, methane produces a reversal at 200 m from the main ventilation entrance of the gallery. When 60 m of auxiliary ventilation is superimposed, the ventilation reversal distance is reduced to 42 m from the methane emission source. The effect of superimposing appropriate auxiliary ventilation on the main ventilation, as well as the correct placement of the auxiliary ventilation fan, can generate safe zones behind the ventilation reversal area. These CFD models are powerful tools for analysing methane explosion emission and propagation.

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34

Mitrouskas, David, Sören Petrat i Peter Pickl. "Bogoliubov corrections and trace norm convergence for the Hartree dynamics". Reviews in Mathematical Physics 31, nr 08 (wrzesień 2019): 1950024. http://dx.doi.org/10.1142/s0129055x19500247.

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We consider the dynamics of a large number [Formula: see text] of nonrelativistic bosons in the mean field limit for a class of interaction potentials that includes Coulomb interaction. In order to describe the fluctuations around the mean field Hartree state, we introduce an auxiliary Hamiltonian on the [Formula: see text]-particle space that is similar to the one obtained from Bogoliubov theory. We show convergence of the auxiliary time evolution to the fully interacting dynamics in the norm of the [Formula: see text]-particle space. This result allows us to prove several other results: convergence of reduced density matrices in trace norm with optimal rate, convergence in energy trace norm, and convergence to a time evolution obtained from the Bogoliubov Hamiltonian on Fock space with expected optimal rate. We thus extend and quantify several previous results, e.g., by providing the physically important convergence rates, including time-dependent external fields and singular interactions, and allowing for more general initial states, e.g., those that are expected to be ground states of interacting systems.

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Song, Shuan Jun, i Dan Feng Shen. "Synthetic Flow-Field Analysis of Main and Auxiliary Nozzles in Air-Jet Looms". Advanced Materials Research 411 (listopad 2011): 16–20. http://dx.doi.org/10.4028/www.scientific.net/amr.411.16.

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The synthetic flow-field model of main and auxiliary nozzle flow-field in air-jet loom is introduced. The software of computational fluid dynamics FLUENT is used for the first time to simulate synthetic flow-field, and velocity vector is analyzed. To different spray angles of auxiliary nozzle, the velocity and total pressure of central air are compared in brief. The boundary conditions are changed by User Defined Functions (UDF) and the comparison analysis is done before and after using UDF.

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Iswandi, Kelik. "Extending the Legal Standing on Authority Disputes at the Indonesian Constitutional Court". Constitutionale 4, nr 2 (15.12.2023): 137–46. http://dx.doi.org/10.25041/constitutionale.v4i2.3167.

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The growth of state auxiliary organs increases the possibility of conflicting authority. Regrettably, the Indonesian Constitutional Court can only settle authority disputes between constitutional state organs. It is based on Article 24C 1945 Constitution jo. Article 61 Constitutional Court Act 2003 jo. Article 2 Constitutional Court Regulation No. 08/PMK/2006. Thus, how does does authority dispute resolution involve state auxiliary organs? This subject is addressed by normative legal research, which examines secondary evidence in the form of laws, Constitutional Court decisions, and doctrines. Based on the statutatory and conceptual approaches, it is found that the rule of legal standing leads to multiple interpretations about which state organ can have a legal standing in the constitutional court. Furthermore, the legal standing requirements are quite narrow and need to be strengthened to respond to the constitutional dynamics in Indonesia, particularly with the emergence of state auxiliary organs. According to this study, state auxiliary organs, particularly those with constitutional importance, can fulfill legal standing standards. While for the authority dispute which involves other state auxiliary organs, it can be resolved based on their legitimacy. Therefore, Constitutional Court Regulation No. 08/PMK/2006 must be revised to accommodate the settlement of authority disputes between state auxiliary organs.

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Jiang, Yufan. "Biomechanical Analysis and Mobility Improvement of Auxiliary Mobile Equipment". Academic Journal of Science and Technology 8, nr 3 (28.12.2023): 128–31. http://dx.doi.org/10.54097/h1mh9c33.

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As an advanced auxiliary mobile device, exoskeleton booster has attracted wide attention in the field of rehabilitation and life assistance. Through biomechanical analysis, this paper discusses the effect of exoskeleton booster on user mobility. Using biomechanical tools such as kinematics, dynamics and muscle mechanics, this paper deeply studies the influence of exoskeleton booster in different motion States, and verifies its biomechanical effect through simulation and experiment. Firstly, this paper analyzes the influence of exoskeleton booster on gait from the perspective of kinematics. The research shows that the exoskeleton booster can improve the walking efficiency of users by optimizing the step size and step frequency. The precise adjustment of joint motion by intelligent control system enables exoskeleton to better adapt to the gait characteristics of different users. Secondly, through dynamic analysis, this paper deeply studies the influence of exoskeleton on joint torque. The exoskeleton is designed to apply appropriate torque at key joints to help users complete the movement. The synergistic effect of this moment not only reduces the muscle burden of users, but also improves the stability of joints and reduces the risks in sports. In terms of improving mobility, exoskeleton technology can significantly improve the gait of patients in rehabilitation training, which is helpful to improve the balance ability of patients. The improvement effect of exoskeleton technology directly affects the quality of daily life of patients. This biomechanical effect provides strong support for the extensive application of exoskeleton technology in rehabilitation, sports assistance and daily life.

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Chen, Tim, N. Kapronand, C. Y. Hsieh i J. Cy Chen. "Evolved auxiliary controller with applications to aerospace". Aircraft Engineering and Aerospace Technology 93, nr 4 (6.05.2021): 529–43. http://dx.doi.org/10.1108/aeat-12-2019-0233.

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Purpose To guarantee the asymptotic stability of discrete-time nonlinear systems, this paper aims to propose an evolved bat algorithm fuzzy neural network (NN) controller algorithm. Design/methodology/approach In evolved fuzzy NN modeling, the NN model and linear differential inclusion representation are established for the arbitrary nonlinear dynamics. The control problems of the Fisher equation and a temperature cooling fin for high-speed aerospace vehicles will be described and demonstrated. The signal auxiliary controlled system is represented for the nonlinear parabolic partial differential equation (PDE) systems and the criterion of stability is derived via the Lyapunov function in terms of linear matrix inequalities. Findings This representation is constructed by sector nonlinearity, which converts the nonlinear model to a multiple rule base for the linear model and a new sufficient condition to guarantee the asymptotic stability. Originality/value This study also injects high frequency as an auxiliary and the control performance to stabilize the nonlinear high-speed aerospace vehicle system.

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Carstea, A. S. "Reaction–diffusion–convection equations in two spatial dimensions; continuous and discrete dynamics". Modern Physics Letters B 35, nr 10 (18.02.2021): 2150186. http://dx.doi.org/10.1142/s0217984921501864.

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In this paper, we investigate some two-dimensional (with respect to spatial independent variables) reaction–diffusion–convection equations with various nonlinear (reaction) terms. Using Hirota bilinear formalism with a free auxiliary function, we obtain kink solutions and many spatio-temporal discretizations having birational form.

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Cole, M. O. T., i P. S. Keogh. "Rotor vibration with auxiliary bearing contact in magnetic bearing systems Part 2: Robust synchronous control for rotor position recovery". Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 217, nr 4 (1.04.2003): 393–409. http://dx.doi.org/10.1243/095440603321509685.

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A number of conditions or events may produce rotor motion that involves contact with auxiliary bearings. Standard adaptive and closed-loop control strategies based on linear dynamics can cause instability when contact occurs, resulting in increased contact forces and vibration compared with the uncontrolled case. This paper introduces a method for robust control of synchronous vibration components that can maintain dynamic stability during interaction between the rotor and auxiliary bearings. The controllers are designed to minimize the severity and duration of contact and ensure that the rotor vibration returns to optimal levels, provided that sufficient control force capacity is available. Synthesis of controller gain matrices is based on a linear time-varying system model, which can be derived from either on-line identification routines or theoretical modelling and simulation. The controllers are tested experimentally on a flexible rotor system with magnetic bearings and are shown to restore rotor position control to optimal levels without further contact.

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Zhang, Wenzhi, Li He, Hongwei Wang, Liang Yuan i Wendong Xiao. "Multiple Self-Supervised Auxiliary Tasks for Target-Driven Visual Navigation Using Deep Reinforcement Learning". Entropy 25, nr 7 (30.06.2023): 1007. http://dx.doi.org/10.3390/e25071007.

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Visual navigation based on deep reinforcement learning requires a large amount of interaction with the environment, and due to the reward sparsity, it requires a large amount of training time and computational resources. In this paper, we focus on sample efficiency and navigation performance and propose a framework for visual navigation based on multiple self-supervised auxiliary tasks. Specifically, we present an LSTM-based dynamics model and an attention-based image-reconstruction model as auxiliary tasks. These self-supervised auxiliary tasks enable agents to learn navigation strategies directly from the original high-dimensional images without relying on ResNet features by constructing latent representation learning. Experimental results show that without manually designed features and prior demonstrations, our method significantly improves the training efficiency and outperforms the baseline algorithms on the simulator and real-world image datasets.

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Liu, Lizhi, Cao Chen, Zilin Gao i Bo Cheng. "Cluster synchronization for controlled nodes via the dynamics of edges in complex dynamical networks". PLOS ONE 18, nr 8 (3.08.2023): e0288657. http://dx.doi.org/10.1371/journal.pone.0288657.

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An appropriate dynamic coupling form between nodes and edges’ state can effectively promote the emergence of desired network function (phenomenon), but the existing literatures have not conducted in-depth research on the coupling mechanism. This paper mainly focuses on the coupling auxiliary mechanism of dynamic edges for the emergence of cluster phenomenon of nodes, explores the essential relation between structure and function in complex dynamical networks (CDNs). Firstly, a novel model of CDNs has dynamic systems attached on not only nodes but also edges is proposed from the viewpoint of large-scale system. Secondly, a feedback nodes controller is synthesized associate with the designed linear and adaptive dynamics of edges. Via the appropriate dynamic behaviors of the edges system, the controlled nodes can realize cluster synchronized. Finally, the validity of the proposed approaches is verified by a given numerical example.

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Jamali, Safa, Arman Boromand, Shaghayegh Khani i Joao Maia. "Gaussian-inspired auxiliary non-equilibrium thermostat (GIANT) for Dissipative Particle Dynamics simulations". Computer Physics Communications 197 (grudzień 2015): 27–34. http://dx.doi.org/10.1016/j.cpc.2015.08.003.

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Xu, Yun, Jun Chen, Dong Quan Chen i Jin Shan Sun. "MULTISCALE SIMULATION OF MICROCRACK BASED ON A NEW ADAPTIVE FINITE ELEMENT METHOD". International Journal of Modern Physics B 24, nr 15n16 (30.06.2010): 2719–24. http://dx.doi.org/10.1142/s0217979210065520.

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In this paper, a new adaptive finite element (FE) framework based on the variational multiscale method is proposed and applied to simulate the dynamic behaviors of metal under loadings. First, the extended bridging scale method is used to couple molecular dynamics and FE. Then, macro damages evolvements of those micro defects are simulated by the adaptive FE method. Some auxiliary strategies, such as the conservative mesh remapping, failure mechanism and mesh splitting technique are also included in the adaptive FE computation. Efficiency of our method is validated by numerical experiments.

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Colli, Pierluigi, i Takeshi Fukao. "Cahn–Hilliard equation on the boundary with bulk condition of Allen–Cahn type". Advances in Nonlinear Analysis 9, nr 1 (20.07.2018): 16–38. http://dx.doi.org/10.1515/anona-2018-0055.

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Abstract The well-posedness of a system of partial differential equations with dynamic boundary conditions is discussed. This system is a sort of transmission problem between the dynamics in the bulk Ω and on the boundary Γ. The Poisson equation for the chemical potential and the Allen–Cahn equation for the order parameter in the bulk Ω are considered as auxiliary conditions for solving the Cahn–Hilliard equation on the boundary Γ. Recently, the well-posedness of this equation with a dynamic boundary condition, both of Cahn–Hilliard type, was discussed. Based on this result, the existence of the solution and its continuous dependence on the data are proved.

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Zhang, Ya-Xin, Meng Li, Bi-Ying Liu, Zhi-Lei Wu, Hai-Ying Wei i Wen-Min Wang. "A series of planar tetranuclear lanthanide complexes: axial ligand modulated magnetic dynamics in Dy4 species". RSC Advances 7, nr 87 (2017): 55523–35. http://dx.doi.org/10.1039/c7ra11750g.

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A series of tetranuclear lanthanide compounds with a similar butterfly shaped arrangement were obtained by tuning the substituents of β-diketonate auxiliary ligands, of which three Dy-based compounds display different magnetic relaxation behaviors.

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Yosifov, Alexander, Aditya Iyer i Lachezar Filipov. "Holographic Interpretation of Relative State Complexity". Universe 6, nr 8 (22.07.2020): 100. http://dx.doi.org/10.3390/universe6080100.

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We investigate a large-N conformal field theory (CFT) in a high-energy pure state coupled to a small auxiliary system of M weakly-interacting degrees of freedom, and argue the relative state complexity of the auxiliary system is holographically dual to an effective low-energy notion of computational cost in the bulk, i.e., to the minimal depth of the quantum circuit required to decode its gravitational dual. In light of this, using Nielsen’s approach, a new measure of quantum chaos in terms of the evolution of circuit complexity is proposed. It suggests that studying the evolution of circuit complexity of the auxiliary system can teach us about the chaotic properties of the large-N CFT. This new diagnostic for quantum chaos has important implications for the interior dynamics of evaporating black holes as it implies the radiated Hawking cloud is pseudorandom.

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Tang, Jia-Liang, Gabriel Alvarado Barrios, Enrique Solano i Francisco Albarrán-Arriagada. "Tunable Non-Markovianity for Bosonic Quantum Memristors". Entropy 25, nr 5 (6.05.2023): 756. http://dx.doi.org/10.3390/e25050756.

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We studied the tunable control of the non-Markovianity of a bosonic mode due to its coupling to a set of auxiliary qubits, both embedded in a thermal reservoir. Specifically, we considered a single cavity mode coupled to auxiliary qubits described by the Tavis–Cummings model. As a figure of merit, we define the dynamical non-Markovianity as the tendency of a system to return to its initial state, instead of evolving monotonically to its steady state. We studied how this dynamical non-Markovianity can be manipulated in terms of the qubit frequency. We found that the control of the auxiliary systems affects the cavity dynamics as an effective time-dependent decay rate. Finally, we show how this tunable time-dependent decay rate can be tuned to engineer bosonic quantum memristors, involving memory effects that are fundamental for developing neuromorphic quantum technologies.

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Radtke, Lars, Georgios Bletsos, Niklas Kühl, Tim Suchan, Thomas Rung, Alexander Düster i Kathrin Welker. "Parameter-Free Shape Optimization: Various Shape Updates for Engineering Applications". Aerospace 10, nr 9 (25.08.2023): 751. http://dx.doi.org/10.3390/aerospace10090751.

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In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications. However, sensitivity distributions obtained from shape derivatives in this context cannot be directly used as a shape update in gradient-based optimization strategies. Instead, an auxiliary problem has to be solved to obtain a gradient from the sensitivity. While several choices for these auxiliary problems were investigated mathematically, the complexity of the concepts behind their derivation has often prevented their application in engineering. This work aims to explain several approaches to compute shape updates from an engineering perspective. We introduce the corresponding auxiliary problems in a formal way and compare the choices by means of numerical examples. To this end, a test case and exemplary applications from computational fluid dynamics are considered.

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Azhmyakov, Vadim. "Optimal Control of Mechanical Systems". Differential Equations and Nonlinear Mechanics 2007 (2007): 1–16. http://dx.doi.org/10.1155/2007/18735.

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In the present work, we consider a class of nonlinear optimal control problems, which can be called “optimal control problems in mechanics.” We deal with control systems whose dynamics can be described by a system of Euler-Lagrange or Hamilton equations. Using the variational structure of the solution of the corresponding boundary-value problems, we reduce the initial optimal control problem to an auxiliary problem of multiobjective programming. This technique makes it possible to apply some consistent numerical approximations of a multiobjective optimization problem to the initial optimal control problem. For solving the auxiliary problem, we propose an implementable numerical algorithm.

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