Relevant bibliographies by topics / Auxiliary modulating dynamical systems

Academic literature on the topic 'Auxiliary modulating dynamical systems'

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Published: 7 July 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Journal articles on the topic "Auxiliary modulating dynamical systems":

1

Liu, Jie, Da-Yan Liu, Driss Boutat, Xuefeng Zhang, and Ze-Hao Wu. "Innovative non-asymptotic and robust estimation method using auxiliary modulating dynamical systems." Automatica 152 (June 2023): 110953. http://dx.doi.org/10.1016/j.automatica.2023.110953.

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Stark, Oliver, Marius Eckert, Albertus Johannes Malan, and Sören Hohmann. "Fractional Systems’ Identification Based on Implicit Modulating Functions." Mathematics 10, no. 21 (November 3, 2022): 4106. http://dx.doi.org/10.3390/math10214106.

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This paper presents a new method for parameter identification based on the modulating function method for commensurable fractional-order models. The novelty of the method lies in the automatic determination of a specific modulating function by controlling a model-based auxiliary system, instead of applying and parameterizing a generic modulating function. The input signal of the model-based auxiliary system used to determine the modulating function is designed such that a separate identification of each individual parameter of the fractional-order model is enabled. This eliminates the shortcomings of the common modulating function method in which a modulating function must be adapted to the investigated system heuristically.
3

Catanach, Thomas A., and James L. Beck. "Bayesian System Identification using auxiliary stochastic dynamical systems." International Journal of Non-Linear Mechanics 94 (September 2017): 72–83. http://dx.doi.org/10.1016/j.ijnonlinmec.2017.03.012.

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Grechko, D. A., N. V. Barabash, and V. N. Belykh. "Homoclinic Orbits and Chaos in Nonlinear Dynamical Systems: Auxiliary Systems Method." Lobachevskii Journal of Mathematics 42, no. 14 (December 2021): 3365–71. http://dx.doi.org/10.1134/s199508022202007x.

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Fang-Hong, Xiao, Yan Gui-Rong, and Zhang Xin-Wu. "Effect of signal modulating noise in bistable stochastic dynamical systems." Chinese Physics 12, no. 9 (August 29, 2003): 946–50. http://dx.doi.org/10.1088/1009-1963/12/9/304.

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El Allaoui, Abdelati, Said Melliani, and Lalla Saadia Chadli. "Stability of Fuzzy Dynamical Systems via Lyapunov Functions." International Journal of Differential Equations 2020 (August 1, 2020): 1–7. http://dx.doi.org/10.1155/2020/6218424.

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The purpose of this paper is to introduce the concept of fuzzy Lyapunov functions to study the notion of stability of equilibrium points for fuzzy dynamical systems associated with fuzzy initial value problems, through the principle of Zadeh. Our contribution consists in a qualitative characterization of stability by a study of the trajectories of fuzzy dynamical systems, using auxiliary functions, and they will be called fuzzy Lyapunov functions. And, among the main results that have been proven is that the existence of fuzzy Lyapunov functions is a necessary and sufficient condition for stability. Some examples are given to illustrate the obtained results.
7

ZHANG, YONGXIANG. "CHARACTERIZING FRACTAL BASIN BOUNDARIES FOR PLANAR SWITCHED SYSTEMS." Fractals 25, no. 03 (May 18, 2017): 1750031. http://dx.doi.org/10.1142/s0218348x17500311.

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This paper is to introduce some analytical tools to characterize the properties of fractal basin boundaries for planar switched systems (with time-dependent switching). The characterizing methods are based on the view point of limit sets and prime ends. By constructing the auxiliary dynamical system, the fractal basin boundaries of planar switched systems can be proved if every diverging path in the basin of associated auxiliary system has the entire basin boundary as its limit set. Fractal property is also verified if every prime end that is defined in the basin of associated auxiliary system is a prime end of type 3 and all other prime ends are of type 1. Bifurcations of fractal basin boundary are investigated by analyzing what types of prime ends in the basin are involved. The fractal basin boundary of switched system is also described by the indecomposable continuum.
8

Tang, Jia-Liang, Gabriel Alvarado Barrios, Enrique Solano, and Francisco Albarrán-Arriagada. "Tunable Non-Markovianity for Bosonic Quantum Memristors." Entropy 25, no. 5 (May 6, 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.
9

Sabi’u, Jamilu, Mustafa Inc, Temesgen Leta, Dumitru Baleanu, and Hadi Rezazadeh. "Dynamical behaviour of the Joseph-Egri equation." Thermal Science 27, Spec. issue 1 (2023): 19–28. http://dx.doi.org/10.2298/tsci23s1019s.

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We investigate traveling wave solutions to the Joseph-Egri equation via extended auxiliary equation technique. We have determined stationary points of the dynamical systems by using bifurcation method. We also acquire cusp, periodic and homoclinic orbits. The investigated solutions are entirely different from the reported in the liter?ature. However, some of the reported solutions are plotted to understand the physical application of the considered model using renowned mathematical software.
10

Pumaricra Rojas, David, Matti Noack, Johann Reger, and Gustavo Pérez-Zúñiga. "State Estimation for Coupled Reaction-Diffusion PDE Systems Using Modulating Functions." Sensors 22, no. 13 (July 2, 2022): 5008. http://dx.doi.org/10.3390/s22135008.

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Many systems with distributed dynamics are described by partial differential equations (PDEs). Coupled reaction-diffusion equations are a particular type of these systems. The measurement of the state over the entire spatial domain is usually required for their control. However, it is often impossible to obtain full state information with physical sensors only. For this problem, observers are developed to estimate the state based on boundary measurements. The method presented applies the so-called modulating function method, relying on an orthonormal function basis representation. Auxiliary systems are generated from the original system by applying modulating functions and formulating annihilation conditions. It is extended by a decoupling matrix step. The calculated kernels are utilized for modulating the input and output signals over a receding time window to obtain the coefficients for the basis expansion for the desired state estimation. The developed algorithm and its real-time functionality are verified via simulation of an example system related to the dynamics of chemical tubular reactors and compared to the conventional backstepping observer. The method achieves a successful state reconstruction of the system while mitigating white noise induced by the sensor. Ultimately, the modulating function approach represents a solution for the distributed state estimation problem without solving a PDE online.
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Journal articles

Dissertations / Theses on the topic "Auxiliary modulating dynamical systems":

1

Liu, Jie. "State Estimation for Linear Singular and Nonlinear Dynamical Systems Based on Observable Canonical Forms." Electronic Thesis or Diss., Bourges, INSA Centre Val de Loire, 2024. http://www.theses.fr/2024ISAB0002.

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Cette thèse a pour objectif, d’une part, de concevoir des estimateurs pour les systèmessinguliers linéaires en utilisant la méthode des fonctions de modulation. D’autrepart, elle vise à développer des observateurs pour une classe de systèmes dynamiquesnon linéaires en utilisant la méthode des formes normales d’observateurs. Pour lessystèmes singuliers, les estimateurs conçus sont présentés sous forme de formulesintégrales algébriques, garantissant une convergence non asymptotique. Une caractéristique essentielle des algorithmes d’estimation conçus est que les mesures bruitées des sorties ne sont impliquées que dans des termes intégraux, conférant ainsi aux estimateurs une robustesse face aux bruits perturbateurs. Pour les systèmes non linéaires, l’idée principale de conception consiste à transformer les systèmes proposés en une forme simplifiée qui supporte les observateurs existants tels que l’observateur à grandgain et l’observateur en mode glissant. Cette forme simple est appelée forme canoniqueobservable dépendant de la sortie auxiliaire.Pour les systèmes singuliers linéaires, nous transformons le système considéré enune forme similaire à la forme canonique observable de Brunovsky en injectant lesdérivées des entrées et des sorties. Tout d’abord, pour les systèmes singuliers linéairesmono-entrée mono-sortie, la condition d’observabilité est proposée. Des formules algébriques avec une fenêtre d’intégration glissante sont obtenues pour les variables dans différentes situations sans connaître la condition initiale du système. Ensuite, pour les systèmes singuliers linéaires à multiples entrées et sorties, une méthode innovante d’estimation non asymptotique et robuste basée sur la forme canonique observable à l’aide d’un ensemble de systèmes dynamiques de modulation auxiliaires est introduite. Ces derniers systèmes auxiliaires sont donnés par la forme canonique observable contrôlable avec des conditions initiales nulles. En introduisant un ensemble de systèmes dynamiques de modulation auxiliaires qui fournit un cadre plus général pour générer les fonctions de modulation requises, des formules intégrales algébriques sont obtenues à la fois pour les variables d’état et les dérivées de sortie. De plus, l’efficacité et la robustesse des estimateurs proposés sont vérifiées par des simulations numériques dans cette thèse.Pour les systèmes dynamiques non linéaires, nous proposons une famille de systèmesdynamiques non linéaires à multiples sorties "prêts à porter" qui peuvent êtretransformés en formes normales d’observateurs dépendant de la sortie auxiliaire, permettant ainsi le support de l’observateur en mode glissant bien connu. Pour cela, aumoyen de la méthode d’extension de dynamique et d’un ensemble des changementsde coordonnées (calculs algébriques intégraux de base), les termes non linéairessont annulés par une dynamique auxiliaire ou remplacés par des fonctions non linéairesdes multiples sorties. Il convient de mentionner que cette procédure est menée à biende manière compréhensible sans recourir aux outils de la géométrie différentielle, cequi est convivial pour ceux qui ne sont pas familiers avec les calculs des crochets deLie. De plus, l’efficacité et la robustesse des observateurs proposés sont vérifiées pardes simulations numériques dans cette thèse. Deuxièmement, une classe plus large desystèmes dynamiques non linéaires à multiples entrées et sorties "prêts à porter" estfournie pour étendre et développer davantage les systèmes proposés dans le premiercas. De manière similaire, au moyen de la dynamique auxiliaire correspondante etd’un ensemble des changements de coordonnées, les systèmes fournis sont convertisen formes normales non linéaires ciblées dépendant à la fois des multiples sorties etdes variables auxiliaires. Naturellement, cette procédure est également réalisée sansrecourir aux outils géométriques. Enfin, des conclusions sont présentées avec quelques perspectives
This thesis aims, on the one hand, to design estimators for linear singular systems usingthemethod of modulation functions. On the other hand, it aims to develop observersfor a class of nonlinear dynamical systems using the method of canonical formsof observers. For singular systems, the designed estimators are presented in the formof algebraic integral equations, ensuring non-asymptotic convergence. An essentialcharacteristic of the designed estimation algorithms is that noisy measurements of theoutputs are only involved in integral terms, thereby imparting robustness to the estimatorsagainst perturbing noises. For nonlinear systems, the main design idea is totransform the proposed systems into a simplified form that accommodates existingobservers such as the high-gain observer and the sliding-mode observer. This simpleformis called auxiliary output depending observable canonical form.For the linear singular systems, we transform the considered system into a formsimilar to the Brunovsky’s observable canonical form with the injection of the inputs’and outputs’ derivatives. First, for linear singular systems with single input and singleoutput, the observability condition is proposed. The system’s input-output differentialequation is derived based on the Brunovsky’s observable canonical form. Algebraicformulas with a sliding integration window are obtained for the variables in differentsituations without knowing the system’s initial condition. Second, for linear singular systemswith multiple input and multiple output, an innovative nonasymptotic and robust estimation method based on the observable canonical form by means of a set of auxiliary modulating dynamical systems is introduced. The latter auxiliary systems are given by the controllable observable canonical with zero initial conditions. The proposed method is applied to estimate the states and the output’s derivatives for linear singular system in noisy environment. By introducing a set of auxiliary modulating dynamical systems which provides a more general framework for generating the requiredmodulating functions, algebraic integral formulas are obtained both for the state variables and the output’s derivatives. After giving the solutions of the required auxiliary systems, error analysis in discrete noisy case is addressed, where the provided noise error bound can be used to select design parameters.For the nonlinear dynamical systems, we propose a family of "ready to wear" nonlineardynamical systemswith multiple outputs that can be transformed into the outputauxiliarydepending observer normal forms which can support the well-known slidingmode observer. For this, by means of the so-called dynamics extension method anda set of changes of coordinates (basic algebraic integral computations), the nonlinearterms are canceled by auxiliary dynamics or replaced by nonlinear functions of themultiple outputs. It is worth mentioning that this procedure is finished in a comprehensible way without resort to the tools of differential geometry, which is user-friendly for those who are not familiar with the computations of Lie brackets. In addition, the efficiency and robustness of the proposed observers are verified by numerical simulations in this thesis. Second, a larger class of "ready to wear" nonlinear dynamicalsystems with multiple inputs and multiple outputs are provided to further extend anddevelop the systems proposed in the first case. In a similar way, by means of the corresponding auxiliary dynamics and a set of changes of coordinates, the provided systems are converted into targeted nonlinear observable canonical forms depending on both the multiple outputs and auxiliary variables. Naturally, this procedure is still completed without resort to geometrical tools. Finally, conclusions are outlined with some perspectives
2

Vanzini, Marco. "Auxiliary systems for observables : dynamical local connector approximation for electron addition and removal spectra." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLX012/document.

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Cette thèse propose une méthode théorique innovante pour l'étude des spectres d'excitation à un électron, mesurée par spectroscopie de photoémission directe et inverse.La plupart des calculs actuels au niveau de l’état de l’art reposent sur des fonctions de Green à plusieurs corps et des self-énergies complexes et non locales, évaluées spécifiquement pour chaque matériau. Même lorsque les spectres calculés sont en très bon accord avec les expériences, le coût de calcul est très important. La raison est que la méthode elle-même n'est pas efficace, car elle fournit beaucoup d'informations superflues qui ne sont pas nécessaires pour l'interprétation des données expérimentales.Dans cette thèse, nous proposons deux raccourcis par rapport à la méthode standard. Le premier est l'introduction d'un système auxiliaire qui cible, en principe, le spectre d'excitation du système réel. L'exemple type est la théorie de la fonctionnelle de la densité, pour lequel le système auxiliaire est le système de Kohn-Sham : elle reproduit exactement la densité du système réel par l'intermédiaire d'un potentiel réel et statique, le potentiel de Kohn-Sham. La théorie de la fonctionnelle de la densité est, cependant, une théorie de l'état fondamental, qui ne fournit que rarement des propriétés d'état excités : un exemple est le fameux problème de la sous-estimation de la bande interdite. Le potentiel que nous proposons (le potentiel spectral), local et dépendant de la fréquence, mais réelle, peut être considéré comme une généralisation dynamique du potentiel de Kohn-Sham qui donne en principe le spectre exact.Le deuxième raccourci est l'idée de calculer ce potentiel une fois pour toute dans un système modèle, le gaz d'électrons homogène, et de le tabuler. Pour étudier des matériaux réels, nous concevons un connecteur qui prescrit l'utilisation des résultats du gaz pour calculer les spectres électroniques.La première partie de la thèse traite de l'idée de systèmes auxiliaires, montrant le cadre général dans lequel ils peuvent être introduits et les équations qu'ils doivent satisfaire. Nous utilisons des modèles de Hubbard solubles exactement pour mieux comprendre le rôle du potentiel spectral ; en particulier, il est démontré que le potentiel peut être défini uniquement chaque fois que le spectre est non nul, et donne toujours les spectres attendus, même lorsque la partie imaginaire ou les contributions non locales de la self-énergie jouent un rôle de premier plan.Dans la deuxième partie de la thèse, nous nous concentrons sur les calculs pour les systèmes réels. Nous évaluons d'abord le potentiel spectral dans le gaz d'électrons homogène, puis l'importons dans le système auxiliaire pour évaluer le spectre d'excitation. Toute l’interdependence non triviale entre l'interaction électronique et l'inhomogénéité du système réel entre dans la forme du connecteur. Trouver une expression pour cela est le véritable défi de la procédure. Nous proposons une approximation raisonnable basée sur les propriétés locales du système, que nous appelons approximation du connecteur dynamique local.Nous mettons en œuvre cette procédure pour quatre prototypes de matériaux différents : le sodium, un métal presque homogène ; l'aluminium, encore un métal mais moins homogène ; le silicium, un semi-conducteur ; l'argon, un isolant inhomogène. Les spectres que nous obtenons avec cette approche concordent de manière impressionnante avec ceux qui sont évalués via la self-énergie, très coûteuse en temps de calcul, démontrant ainsi le potentiel de cette théorie
This thesis proposes an innovative theoretical method for studying one-electron excitation spectra, as measured in photoemission and inverse photoemission spectroscopy.The current state-of-the-art realistic calculations rely usually on many-body Green’s functions and complex, non-local self energies, evaluated specifically for each material. Even when the calculated spectra are in very good agreement with experiments, the computational cost is very large. The reason is that the method itself is not efficient, as it yields much superfluous information that is not needed for the interpretation of experimental data.In this thesis we propose two shortcuts to the standard method. The first one is the introduction of an auxiliary system that exactly targets, in principle, the excitation spectrum of the real system. The prototypical example is density functional theory, in which the auxiliary system is the Kohn-Sham system: it exactly reproduces the density of the real system via a real and static potential, the Kohn-Sham potential. Density functional theory is, however, a ground state theory, which hardly yields excited state properties: an example is the famous band-gap problem. The potential we propose (the spectral potential), local and frequency-dependent, yet real, can be viewed as a dynamical generalisation of the Kohn-Sham potential which yields in principle the exact spectrum.The second shortcut is the idea of calculating this potential just once and forever in a model system, the homogeneous electron gas, and tabulating it. To study real materials, we design a connector which prescribes the use of the gas results for calculating electronic spectra.The first part of the thesis deals with the idea of auxiliary systems, showing the general framework in which they can be introduced and the equations they have to fulfill. We then use exactly-solvable Hubbard models to gain insight into the role of the spectral potential; in particular, it is shown that a meaningful potential can be defined wherever the spectrum is non-zero, and that it always yields the expected spectra, even when the imaginary or the non-local parts of the self energy play a prominent role.In the second part of the thesis, we focus on calculations for real systems. We first evaluate the spectral potential in the homogeneous electron gas, and then import it in the auxiliary system to evaluate the excitation spectrum. All the non-trivial interplay between electron interaction and inhomogeneity of the real system enters the form of the connector. Finding an expression for it is the real challenge of the procedure. We propose a reasonable approximation for it, based on local properties of the system, which we call dynamical local connector approximation.We implement this procedure for four different prototypical materials: sodium, an almost homogeneous metal; aluminum, still a metal but less homogeneous; silicon, a semiconductor; argon, an inhomogeneous insulator. The spectra we obtain with our approach agree to an impressive extent with the ones evaluated via the computationally expensive self energy, demonstrating the potential of this theory

Books on the topic "Auxiliary modulating dynamical systems":

1

Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer International Publishing AG, 2021.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer International Publishing AG, 2022.

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Book chapters on the topic "Auxiliary modulating dynamical systems":

1

Kutoyants, Yu. "Auxiliary Results." In Identification of Dynamical Systems with Small Noise, 11–38. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1020-4_2.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 11–16. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_2.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Piecewise Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 417–34. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_30.

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Palechor, E. U. L., M. R. Machado, M. V. G. de Morais, and L. M. Bezerra. "Dynamic Analysis of a Beam with Additional Auxiliary Mass Spatial Via Spectral Element Method." In Dynamical Systems in Applications, 279–89. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96601-4_25.

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Herisanu, Nicolae, and Vasile Marinca. "Analysis of Nonlinear Dynamic Behavior of a Rotating Electrical Machine Rotor-Bearing System Using Optimal Auxiliary Functions Method." In Dynamical Systems in Applications, 159–68. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96601-4_15.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The Second Alternative to the Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 367–416. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_29.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The First Alternative of the Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 19–40. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_3.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Oscillations of a Pendulum Wrapping on Two Cylinders." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 41–61. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_4.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Cylindrical Liouville-Bratu-Gelfand Problem." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 343–54. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_27.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Analytical Investigation to Duffing Harmonic Oscillator." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 147–51. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_14.

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Conference papers on the topic "Auxiliary modulating dynamical systems":

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Masuda, Arata, Yuya Ogawa, and Akira Sone. "Detection of Contact-Type Damages by Utilizing Nonlinear Piezoelectric Impedance Modulation of Self-Excited Structures." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-4058.

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This paper presents an improvement of a nonlinear piezoelectric impedance modulation (NPIM)-based damage detection method, a damage-sensitive, baseline-free structural health monitoring technique proposed by the authors, by introducing self-excited oscillation. The NPIM-based damage detection utilizes the modulation of high-frequency wave field of structures caused by the contact acoustic nonlinearity at the damaged part. In this study, the high-frequency wave field is induced as a self-excited oscillation of the structure by positively feed-backing the strain signal measured by a surface-bonded piezoelectric sensor, followed by a phase-shift in 90 degrees and a nonlinear element consisting of a saturation element and a negative linear gain. The induced self-excitation can have multiple stable limit cycles at certain eigenmode frequencies, and one can switch among them by inputting an auxiliary excitation signal into the feedback loop. The current flowing through the piezoelectric sensor is measured to detect its modulation due to the stiffness fluctuation due to the existence of the contact-type damage. Experiments using a specimen with a simulated damage are conducted to examine the performance of the self-excitation circuit and its applicability to the NPIM-based damage detection method.
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Deshmukh, Venkatesh, and S. C. Sinha. "Order Reduction and Control of Large-Scale Linear Time Periodic Dynamical Systems." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8320.

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Abstract This paper provides methodology for designing reduced order controllers for large-scale, linear systems represented by differential equations having time periodic coefficients. The linear time periodic system is first converted into a form in which the system stability matrix is time invariant. This is achieved by the application of Liapunov-Floquet transformation. Then a system called an auxiliary system is constructed which is a completely time invariant. Order reduction algorithms are applied to this system to obtain a reduced order system. The control laws are calculated for the reduced order system by minimizing the least square error between the auxiliary and the transformed system. These control laws when transformed back to time varying domain provide the desired control action. The schemes formulated are illustrated by designing full state feedback and output feedback controllers for a five mass inverted pendulum exhibiting parametric instability.
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Birchfield, Neal, Kumar Vikram Singh, and Sumit Singhal. "Dynamical Structural Modification for Rotordynamic Application." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13509.

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In the field of rotordynamics, the critical speeds of a rotating system have a wide range of implications throughout industry as the operating speeds for current machine design are pushed to the limit. Moreover, interaction or coupling of a rotordynamic system with the base and/or auxiliary structures influences the dynamic behavior as well as the critical speeds for the coupled system. In order to ensure that the critical speeds of the coupled system is not excited, structural modification of primary structures (e.g. rotordynamic, foundation, auxiliary units etc.) and/or of the coupling parameters may be necessary by passive or active means. The modeling of these coupled systems, as well as the coupling mechanism, may lead to approximation errors. These errors may deteriorate the desired dynamic response of the coupled system. In order to avoid such modeling errors, this paper investigates structural modification and control strategies that are purely based on the transfer functions of the individual subsystems of the overall coupled system. The proposed concept is demonstrated by numerical examples, in which the receptance transfer functions are used to guide structural modifications; for example, to change the critical speed of a coupled rotordynamic system to a desired value. Coupling of turbine-generator assembly and rotordynamic system with flexible base is considered here.
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Yang, H. S., M. S. Rho, H. Y. Park, J. H. Choi, Y. B. Cha, J. H. Kwon, C. H. Yang, and J. B. Hwang. "Permanent Magnet High Speed Starter/Generator System Development Directly Coupled to Gas Turbine Engine for Mobile Auxiliary Power Unit." In ASME Turbo Expo 2004: Power for Land, Sea, and Air. ASMEDC, 2004. http://dx.doi.org/10.1115/gt2004-53165.

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This paper shows that high-speed starter/generator system is more efficient for gas turbine engine for mobile auxiliary power unit. The system is rated at 25kW, 325Vdc, 60krpm. The system also provides 4kw to start the 100kW engine. The system consists of a high speed machine directly coupled to the gas turbine engine, a power control unit (PCU), and an electronics controller. The PCU is consist of boost converter that boost from 24V (Battery of Vehicle) to 235V for driving high-speed motor, inverter drive PMSM (Permanent Magnet Synchronous Motor), and buck converter drop the voltage to 28V. For PMSM driving the system applied SVPWM (Space Vector Pulse Width Modulation), sensorless algorithm. And then, to supply optimized power, “Constant Power Control Algorithm” is applied. For the system development, electromagnetic analysis, structure analysis, rotor dynamic analysis, and heat transfer analysis are done. After manufacturing, we have tested the system many times to produce verified performance.
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Araujo, Ernesto, Ubiratan S. Freitas, Elbert A. N. Macau, Leandro S. Coelho, and Luis A. Aguirre. "Particle Swarm Optimization (PSO) Fuzzy Systems and NARMAX Approaches Trade-Off Applied to Thermal-Vacuum Chamber Identification." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93631.

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Two nonlinear identification methods are employed in this paper in an experimental comparative approach to generate dynamical models for a thermal-vacuum system. Used for space environment emulation and satellite qualification, a thermal-vacuum chamber presents highly nonlinear and time-delay characteristics. While, in the first nonlinear identification approach, Particle Swarm Optimization (PSO) derive a Takagi-Sugeno fuzzy model, the second one was based on NARMAX polynomial identification technique. PSO is a stochastic global optimization technique that uses a population of particles, where the position and velocity of each particle represent a solution to the problem. It is employed as an auxiliary mechanism for finding out a T-S fuzzy model. The NARMAX polynomial identification technique uses a criterion called Error Reduction Ratio (ERR) computed by employing an orthogonal least squares method whose terms are selected in a forward-regression manner. Results indicate that both methods are feasible solutions for eliciting models from the available data.
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Dankowicz, Harry, and Frank Schilder. "An Extended Continuation Problem for Bifurcation Analysis in the Presence of Constraints." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86343.

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This paper presents an extended formulation of the basic continuation problem for implicitly-defined, embedded manifolds in Rn. The formulation is chosen so as to allow for the arbitrary imposition of additional constraints during continuation and the restriction to selective parametrizations of the corresponding higher-co-dimension solution manifolds. In particular, the formalism is demonstrated to clearly separate between the essential functionality required of core routines in application-oriented continuation packages, on the one hand; and the functionality provided by auxiliary toolboxes that encode classes of continuation problems and user-definitions that narrowly focus on a particular problem implementation, on the other hand. Several examples are chosen to illustrate the formalism and its implementation in the recently developed continuation package COCO and auxiliary toolboxes, including continuation of families of periodic orbits in a hybrid dynamical system with impacts and friction as well as detection and constrained continuation of selected degeneracies characteristic of such systems, such as grazing and switching-sliding bifurcations.
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Vilas-Boas, Vitor Mendes, Vitor Da Silva Jorge, and Cleison Daniel Silva. "Towards ideal time window for classifying motor imagery in brain-computer interfaces." In Symposium on Knowledge Discovery, Mining and Learning. Sociedade Brasileira de Computação, 2020. http://dx.doi.org/10.5753/kdmile.2020.11961.

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Brain-Computer Interfaces (ICM) allow the control of devices by modulating brain activity. Commonly, when based on motor imagery (IM) these systems use the energy (de)synchronization in the electroencephalogram signal (EEG), voluntarily caused by the individual, to identify and classify their motor intention. Therefore, the EEG segment used in the training of the learning algorithms plays a fundamental role in the description of the characteristics and, consequently, in the recognition of patterns in the signal. In this context, the objective of this work is to demonstrate the correlation between the temporal properties of the input EEG segment and the classification performance of a ICM-IM system. An auxiliary sliding window was used in order to obtain the variation of performance in function of the variation in the time and to support the decision making about the appropriate window. Simulations based on public EEG data point to significant variability in the location and width of the ideal window and suggest the need for individualized selection according to the cognitive patterns of each subject.
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Zhang, Wei, Youhua Qian, and Qian Wang. "Periodic Solutions for Coupled Van Der Pol Oscillators of Two-Degree-of-Freedom Solved by Homotopy Analysis Method." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87135.

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Innumerable engineering problems can be described by multi-degree-of-freedom (MDOF) nonlinear dynamical systems. The theoretical modelling of such systems is often governed by a set of coupled second-order differential equations. Albeit that it is extremely difficult to find their exact solutions, the research efforts are mainly concentrated on the approximate analytical solutions. The homotopy analysis method (HAM) is a useful analytic technique for solving nonlinear dynamical systems and the method is independent on the presence of small parameters in the governing equations. More importantly, unlike classical perturbation technique, it provides a simple way to ensure the convergence of solution series by means of an auxiliary parameter ħ. In this paper, the HAM is presented to establish the analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol oscillators. In addition, comparisons are conducted between the results obtained by the HAM and the numerical integration (i.e. Runge-Kutta) method. It is shown that the higher-order analytical solutions of the HAM agree well with the numerical integration solutions, even if time t progresses to a certain large domain in the time history responses.
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Bourdieu, Tomas, Dominic Jekel, and Christoph Schöner. "Objective condensation of wheel-tire assemblies in finite element models for creep groan simulation." In EuroBrake 2022. FISITA, 2022. http://dx.doi.org/10.46720/eb2022-fbr-001.

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"Within the spectrum of noises associated with brake operation, creep groan is positioned among current high-priority NVH-issues in the automotive industry. The phenomenon belongs to the family of self-excited vibrations and originates from a continuous alternation between stick and slip states of the disc-pads contact interaction. The generated vibrations travel to the chassis, exciting bulkier elements which amplify the noise reported by consumers. Although different types of experimental setups have been applied to reproduce and analyse the onset of creep groan, state of the art product development requires the integration of numerical tools to help improve versatility and reduce related costs. On this matter, the influence of chassis components surrounding the brake system, e.g., the strut and the lower control arm, demand for broad system boundaries in the finite element (FE) environment and therefore increase the difficulty of achieving reliable results within practical time frames. Especially the complexity associated with the virtual representation of wheels and tires, which typically involves fine meshes and contact interaction between linear elastic and non-linear hyperelastic materials, either leads to the neglection or oversimplification of their real dynamical behaviour. Consequently, this paper proposes an objective condensation methodology in order to produce systems of smaller scale while maintaining the dynamical characteristics being essential for the numerical emulation of the phenomenon. The technique relies on integrating arbitrary FE representations of the wheel-tire assembly, allowing for its implementation during the build-up process of creep groan models. Additionally, the approach enables the study of the tire's impact on the generated vibrations, currently missing in literature. Depending on the frequency range of interest, the article proposes two different condensation methodologies. Firstly, for the emulation of the low-frequency creep groan signature (≈18 Hz), a replacement of the wheel-tire assembly with spring-damper elements is presented, involving the extraction of elastic properties through the deformation of the original model via an auxiliary simulation. Secondly, for the emulation of the high-frequency creep groan counterpart (≈ 80 Hz), an alternate FE substructure generation method is proposed which can retain relevant eigenmotions and their corresponding eigenfrequencies. The evaluation of both condensation methodologies relies on the calculation of key performance indicators from the results provided by steady-state dynamic analyses, yielding an objective metric for both, the impact on performance, as well as deviations from original acceleration signals. "

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