Relevant bibliographies by topics / Natural oscillatory systems

Academic literature on the topic 'Natural oscillatory systems'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Natural oscillatory systems"

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Agrawal, Deepak K., Elisa Franco, and Rebecca Schulman. "A self-regulating biomolecular comparator for processing oscillatory signals." Journal of The Royal Society Interface 12, no. 111 (October 2015): 20150586. http://dx.doi.org/10.1098/rsif.2015.0586.

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While many cellular processes are driven by biomolecular oscillators, precise control of a downstream on/off process by a biochemical oscillator signal can be difficult: over an oscillator's period, its output signal varies continuously between its amplitude limits and spends a significant fraction of the time at intermediate values between these limits. Further, the oscillator's output is often noisy, with particularly large variations in the amplitude. In electronic systems, an oscillating signal is generally processed by a downstream device such as a comparator that converts a potentially noisy oscillatory input into a square wave output that is predominantly in one of two well-defined on and off states. The comparator's output then controls downstream processes. We describe a method for constructing a synthetic biochemical device that likewise produces a square-wave-type biomolecular output for a variety of oscillatory inputs. The method relies on a separation of time scales between the slow rate of production of an oscillatory signal molecule and the fast rates of intermolecular binding and conformational changes. We show how to control the characteristics of the output by varying the concentrations of the species and the reaction rates. We then use this control to show how our approach could be applied to process different in vitro and in vivo biomolecular oscillators, including the p53-Mdm2 transcriptional oscillator and two types of in vitro transcriptional oscillators. These results demonstrate how modular biomolecular circuits could, in principle, be combined to build complex dynamical systems. The simplicity of our approach also suggests that natural molecular circuits may process some biomolecular oscillator outputs before they are applied downstream.
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Zaitsev, Valery V., and Alexander V. Karlov. "Quasi-harmonic self-oscillations in discrete time: analysis and synthesis of dynamic systems." Physics of Wave Processes and Radio Systems 24, no. 4 (January 16, 2022): 19–24. http://dx.doi.org/10.18469/1810-3189.2021.24.4.19-24.

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For sampling of time in a differential equation of movement of Thomson type oscillator (generator) it is offered to use a combination of the numerical method of finite differences and an asymptotic method of the slowl-changing amplitudes. The difference approximations of temporal derivatives are selected so that, first, to save conservatism and natural frequency of the linear circuit of self-oscillatory system in the discrete time. Secondly, coincidence of the difference shortened equation for the complex amplitude of self-oscillations in the discrete time with Eulers approximation of the shortened equation for amplitude of self-oscillations in analog system prototype is required. It is shown that realization of such approach allows to create discrete mapping of the van der Pol oscillator and a number of mappings of Thomson type oscillators. The adequacy of discrete models to analog prototypes is confirmed with also numerical experiment.
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Fish, Frank E. "Advantages of Natural Propulsive Systems." Marine Technology Society Journal 47, no. 5 (September 1, 2013): 37–44. http://dx.doi.org/10.4031/mtsj.47.5.2.

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AbstractThe screw propeller has been the mainstay of marine propulsion, but new developments in biomimetic propulsion can provide advantages in terms of speed, maneuverability, efficiency, and stealth. The diversity of aquatic animals provides designs for drag-based paddling and lift-based oscillatory hydrofoils that can be incorporated into engineered propulsive systems for enhanced performance. While the screw propeller will remain the prominent propulsive device, the choice of alternative biomimetic propulsive systems will be dependent on particular applications, where the specifications dictate improved performance criteria.
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Matevosyan, Ashot A., and Aram G. Matevosyan. "PARAMETER ESTIMATION FOR OSCILLATORY SYSTEMS." Proceedings of the YSU A: Physical and Mathematical Sciences 55, no. 2 (255) (August 30, 2021): 131–40. http://dx.doi.org/10.46991/pysu:a/2021.55.2.131.

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Simple harmonic motion was investigated of a rotational oscillating system. The effect of dumping and forcing on motion of the system was examined and measurements were taken. Resonance in a oscillating system was investigated and quality factor of the dumping system was measured at different damping forces using three different methods. Resonance curves were constructed at two different damping forces. A probabilistic model was built and system parameters were estimated from the resonance curves using Stan sampling platform. The quality factor of the oscillating system when the additional dumping was turned off was estimated to be $Q = \num{71 \pm 1}$ and natural frequency $\omega_0 = \num{3.105 \pm 0.008}\, \si{\per\second}$.
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UWATE, YOKO, YOSHIFUMI NISHIO, and RUEDI STOOP. "COMPLEX PATTERN IN A RING OF VAN DER POL OSCILLATORS COUPLED BY TIME-VARYING RESISTORS." Journal of Circuits, Systems and Computers 19, no. 04 (June 2010): 819–34. http://dx.doi.org/10.1142/s0218126610006463.

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Synchronization phenomena in coupled oscillatory systems are very important models to describe various higher-dimensional nonlinear phenomena in the field of natural science. In this paper, phase synchronization in a ring of van der Pol oscillators coupled by time-varying resistors is studied. The coexistence of in-phase and anti/N-phase states and various interesting phase synchronization patterns are observed when the parameters are changed. Further, the influence of duty cycle of time-varying resistors for the observed phase synchronization patterns is investigated.
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Shahbazi, Hamed, Kamal Jamshidi, Amir Hasan Monadjemi, and Hafez Eslami Manoochehri. "Training oscillatory neural networks using natural gradient particle swarm optimization." Robotica 33, no. 7 (April 15, 2014): 1551–67. http://dx.doi.org/10.1017/s026357471400085x.

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SUMMARYIn this paper, a new design of neural networks is introduced, which is able to generate oscillatory patterns in its output. The oscillatory neural network is used in a biped robot to enable it to learn to walk. The fundamental building block of the neural network proposed in this paper is O-neurons, which can generate oscillations in its transfer functions. O-neurons are connected and coupled with each other in order to shape a network, and their unknown parameters are found by a particle swarm optimization method. The main contribution of this paper is the learning algorithm that can combine natural policy gradient with particle swarm optimization methods. The oscillatory neural network has six outputs that determine set points for proportional-integral-derivative controllers in 6-DOF humanoid robots. Our experiment on the simulated humanoid robot presents smooth and flexible walking.
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Khoroshev, K. G., and S. V. Kykot. "Eigenfrequencies and eigenforms of regular chain oscillatory systems." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 4 (2021): 88–93. http://dx.doi.org/10.17721/1812-5409.2021/4.14.

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The classical approach in the investigation of natural oscillations of discrete mechanical oscillatingsystems is the solution of the secular equation for finding the eigenfrequencies and the system of algebraic equations for determining the amplitude coefficients (eigenforms). However, the analytical solution of the secular equation is possible only for a limited class of discrete systems, especially with a finite degree of freedom. This class includes regular chain oscillating systems in which the same oscillators are connected in series. Regular systems are divided into systems with rigidly fixed ends, with one or both free ends, which significantly affects the search for eigenfrequencies and eigenforms. This paper shows how, having a solution for the secular equation of a regular system with rigidly fixed ends, it is possible to determine the eigenfrequencies and eigenforms of regular systems with one or both free ends.
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Lakhova, T. N., F. V. Kazantsev, S. A. Lashin, and Yu G. Matushkin. "The finding and researching algorithm for potentially oscillating enzymatic systems." Vavilov Journal of Genetics and Breeding 25, no. 3 (June 2, 2021): 318–30. http://dx.doi.org/10.18699/vj21.035.

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Many processes in living organisms are subject to periodic oscillations at different hierarchical levels of their organization: from molecular-genetic to population and ecological. Oscillatory processes are responsible for cell cycles in both prokaryotes and eukaryotes, for circadian rhythms, for synchronous coupling of respiration with cardiac contractions, etc. Fluctuations in the numbers of organisms in natural populations can be caused by the populations’ own properties, their age structure, and ecological relationships with other species. Along with experimental approaches, mathematical and computer modeling is widely used to study oscillating biological systems. This paper presents classical mathematical models that describe oscillatory behavior in biological systems. Methods for the search for oscillatory molecular-genetic systems are presented by the example of their special case – oscillatory enzymatic systems. Factors influencing the cyclic dynamics in living systems, typical not only of the molecular-genetic level, but of higher levels of organization as well, are considered. Application of different ways to describe gene networks for modeling oscillatory molecular-genetic systems is considered, where the most important factor for the emergence of cyclic behavior is the presence of feedback. Techniques for finding potentially oscillatory enzymatic systems are presented. Using the method described in the article, we present and analyze, in a step-by-step manner, first the structural models (graphs) of gene networks and then the reconstruction of the mathematical models and computational experiments with them. Structural models are ideally suited for the tasks of an automatic search for potential oscillating contours (linked subgraphs), whose structure can correspond to the mathematical model of the molecular-genetic system that demonstrates oscillatory behavior in dynamics. At the same time, it is the numerical study of mathematical models for the selected contours that makes it possible to confirm the presence of stable limit cycles in them. As an example of application of the technology, a network of 300 metabolic reactions of the bacterium Escherichia coli was analyzed using mathematical and computer modeling tools. In particular, oscillatory behavior was shown for a loop whose reactions are part of the tryptophan biosynthesis pathway.
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CAO, ZHOUJIAN, PENGFEI LI, HONG ZHANG, and GANG HU. "NEGATIVE PHASE VELOCITY IN NONLINEAR OSCILLATORY SYSTEMS — MECHANISM AND PARAMETER DISTRIBUTIONS." International Journal of Modern Physics B 21, no. 23n24 (September 30, 2007): 4170–77. http://dx.doi.org/10.1142/s0217979207045360.

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Waves propagating inwardly to the wave source are called antiwaves which have negative phase velocity. In this paper the phenomenon of negative phase velocity in oscillatory systems is studied on the basis of periodically paced complex Ginzbug-Laundau equation (CGLE). We figure out a clear physical picture on the negative phase velocity of these pacing induced waves. This picture tells us that the competition between the frequency ωout of the pacing induced waves with the natural frequency ω0 of the oscillatory medium is the key point responsible for the emergence of negative phase velocity and the corresponding antiwaves. ωoutω0 > 0 and |ωout| < |ω0| are the criterions for the waves with negative phase velocity. This criterion is general for one and high dimensional CGLE and for general oscillatory models. Our understanding of antiwaves predicts that no antispirals and waves with negative phase velocity can be observed in excitable media.
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Gale, Steven, Mario Prsa, Aaron Schurger, Annietta Gay, Aurore Paillard, Bruno Herbelin, Jean-Philippe Guyot, Christophe Lopez, and Olaf Blanke. "Oscillatory neural responses evoked by natural vestibular stimuli in humans." Journal of Neurophysiology 115, no. 3 (March 1, 2016): 1228–42. http://dx.doi.org/10.1152/jn.00153.2015.

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While there have been numerous studies of the vestibular system in mammals, less is known about the brain mechanisms of vestibular processing in humans. In particular, of the studies that have been carried out in humans over the last 30 years, none has investigated how vestibular stimulation (VS) affects cortical oscillations. Here we recorded high-density electroencephalography (EEG) in healthy human subjects and a group of bilateral vestibular loss patients (BVPs) undergoing transient and constant-velocity passive whole body yaw rotations, focusing our analyses on the modulation of cortical oscillations in response to natural VS. The present approach overcame significant technical challenges associated with combining natural VS with human electrophysiology and reveals that both transient and constant-velocity VS are associated with a prominent suppression of alpha power (8–13 Hz). Alpha band suppression was localized over bilateral temporo-parietal scalp regions, and these alpha modulations were significantly smaller in BVPs. We propose that suppression of oscillations in the alpha band over temporo-parietal scalp regions reflects cortical vestibular processing, potentially comparable with alpha and mu oscillations in the visual and sensorimotor systems, respectively, opening the door to the investigation of human cortical processing under various experimental conditions during natural VS.
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Dissertations / Theses on the topic "Natural oscillatory systems"

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Грицунов, А. В., И. Н. Бондаренко, and И. Ю. Близнюк. "Stochastic wave packets of natural oscillatory systems." Thesis, Харьковский национальный университет радиоэлектроники, 2017. http://openarchive.nure.ua/handle/document/6891.

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De Broglie waves are interpreted as oscillations of generalized coordinates of natural oscillatory systems with distributed parameters (NOSs). The action four-scalar and the momentum- energy four-vector both are assimilated with the geometry of NOS eigenmodes in the Minkowski spacetime. A conservation law for the action is supposed as a necessary condition for the energy-momentum conservation. The Wheeler-Feynman’s concept of “direct interparticle action” is developed for both the quantum radiation-absorption and the Coulomb interaction. The spatio-temporal localization of NOS wave packets and Heisenberg’s “uncertainty principle” both are assumed to be results of stochastic exchange with action quanta between different NOSs. The simplest examples of NOS wave packets are given. Some outcomes of application of this theory to solid state phenomena are discussed.
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Грицунов, А. В., И. Н. Бондаренко, А. Б. Галат, О. В. Глухов, and А. Г. Пащенко. "On the quantum electrodynamics of nanosystems." Thesis, Kharkiv, bookfabrik, 2019. http://openarchive.nure.ua/handle/document/10408.

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Problems of quantum dynamics of nanoobjects essential for development of new nanoelectronic systems are discussed. According to the theory of natural oscillatory systems (NOSs), “interaction” between the objects is interpreted as a quantum-dynamic phenomenon meaning a stable trend arising from the quantum chaos. As an opposite, “interchange” is denominated as the permanent stochastic exchange with action quanta between different NOSs in 4D spacetime, being the physical base of the quantum chaos. The Tetrode-Wheeler-Feynman’s concept of “direct interparticle action” is reconciled with both the quantum radiation-absorption and the Coulomb interaction. A conservation law for the action is supposed as a necessary condition for the momentum-energy conservation. The “classic” conservation law for the momentum-energy is considered as derivative, being valid for the momentum as well as some physical value that is an integral over 3D space from a linear combination of stress-energy tensor principal diagonal terms. Such redefinition enables the unconditional quantization of the energy unlike “orthodox” quantum theory.
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Грицунов, А. В., И. Н. Бондаренко, А. Г. Пащенко, and О. Ю. Бабиченко. "Theory of Natural Oscillatory Systems and Advance in Nanoelectronics." Thesis, 2018. http://openarchive.nure.ua/handle/document/6897.

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Specific treatments of some quantum phenomena substantial for progress in nanotechnology and nanoelectronics are presented. De Broglie waves are interpreted as oscillations of the generalized coordinates of natural oscillatory systems with distributed parameters (NOSs). The spatio-temporal localization of the NOS wave packets and Heisenberg’s uncertainty principle both are assumed to be results of the stochastic exchange with action quanta between different NOSs. The quantum kinematics (spatio-temporal evolution of NOS wave packets), quantum dynamics (interaction by means of random exchange with momentum-energy quanta between wave packets of different NOSs), and quantum statistics (probability laws for the stochastic exchange with action quanta between the wave packets in the Minkowski spacetime) are discussed. Both the action four-scalar and the momentum-energy four-vector, as the directional flow of action through 3D world, are assimilated with the geometry of NOS eigenmodes in the Minkowski spacetime. The conservation law for the action is supposed as a necessary condition for the energy-momentum conservation. The simplest examples of NOS wave packets are given. Some outcomes of application of this theory to solid-state phenomena are discussed.
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Jayakumar, J. S. "Analysis Of Two Phase Natural Circulation System Under Oscillatory Conditions." Thesis, 1999. http://etd.iisc.ernet.in/handle/2005/1519.

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Books on the topic "Natural oscillatory systems"

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Boudreau, Joseph F., and Eric S. Swanson. Nonlinear dynamics and chaos. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0013.

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Simple maps and dynamical systems are used to explore chaos in nature. The discussion starts with a review of the properties of nonlinear ordinary differential equations, including the useful concepts of phase portraits, fixed points, and limit cycles. These notions are developed further in an examination of iterative maps that reveal chaotic behavior. Next, the damped driven oscillator is used to illustrate the Lyapunov exponent that can be used to quantify chaos. The famous KAM theorem on the conditions under which chaotic behavior occurs in physical systems is also presented. The principle is illustrated with the Hénon-Heiles model of a star in a galactic environment and billiard models that describe the motion of balls in closed two-dimensional regions.
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Epstein, Irving R., and John A. Pojman. An Introduction to Nonlinear Chemical Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195096705.001.0001.

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Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
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Tiwari, Sandip. Semiconductor Physics. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198759867.001.0001.

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A graduate-level text, Semiconductor physics: Principles, theory and nanoscale covers the central topics of the field, together with advanced topics related to the nanoscale and to quantum confinement, and integrates the understanding of important attributes that go beyond the conventional solid-state and statistical expositions. Topics include the behavior of electrons, phonons and photons; the energy and entropic foundations; bandstructures and their calculation; the behavior at surfaces and interfaces, including those of heterostructures and their heterojunctions; deep and shallow point perturbations; scattering and transport, including mesoscale behavior, using the evolution and dynamics of classical and quantum ensembles from a probabilistic viewpoint; energy transformations; light-matter interactions; the role of causality; the connections between the quantum and the macroscale that lead to linear responses and Onsager relationships; fluctuations and their connections to dissipation, noise and other attributes; stress and strain effects in semiconductors; properties of high permittivity dielectrics; and remote interaction processes. The final chapter discusses the special consequences of the principles to the variety of properties (consequences of selection rules, for example) under quantum-confined conditions and in monolayer semiconductor systems. The text also bring together short appendices discussing transform theorems integral to this study, the nature of random processes, oscillator strength, A and B coefficients and other topics important for understanding semiconductor behavior. The text brings the study of semiconductor physics to the same level as that of the advanced texts of solid state by focusing exclusively on the equilibrium and off-equilibrium behaviors important in semiconductors.
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Mathematics of Continuous and Discrete Dynamical Systems (Contemporary Mathematics). Amer Mathematical Society, 2012.

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Book chapters on the topic "Natural oscillatory systems"

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Wang, Tianshi, and Jaijeet Roychowdhury. "PHLOGON: PHase-based LOGic using Oscillatory Nano-systems." In Unconventional Computation and Natural Computation, 353–66. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08123-6_29.

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Garrett, Steven L. "The Simple Harmonic Oscillator." In Understanding Acoustics, 59–131. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_2.

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Abstract This chapter will introduce a system that is fundamental to our understanding of more physical phenomena than any other. Although the “simple” harmonic oscillator seems to be only the combination of the most mundane components, the formalism developed to explain the behavior of a mass, spring, and damper is used to describe systems that range in size from atoms to oceans. Our investigation goes beyond the “traditional” treatments found in the elementary physics textbooks. For example, the introduction of damping will open a two-way street: a damping element (i.e., a mechanical resistance, Rm) will dissipate the oscillator’s energy, reducing the amplitudes of successive oscillations, but it will also connect the oscillator to the surrounding environment that will return thermal energy to the oscillator. The excitation of a harmonic oscillator by an externally applied force, displacement, or combination of the two will result in a response that is critically dependent upon the relationship between the frequency of excitation and the natural frequency of the oscillator and will introduce the critical concepts of mechanical impedance, resonance, and quality factor. Finally, the harmonic oscillator model will be extended to coupled oscillators that are represented by combinations of several masses and several springs.
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Landa, P. S. "Natural oscillations of non-linear oscillators." In Nonlinear Oscillations and Waves in Dynamical Systems, 71–84. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8763-1_8.

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Landa, P. S. "Natural oscillations in systems of coupled oscillators." In Nonlinear Oscillations and Waves in Dynamical Systems, 85–105. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8763-1_9.

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Dean, Jeffrey. "Locomotion in Insects: Patterns Generated by Interacting Oscillators." In Prerational Intelligence: Adaptive Behavior and Intelligent Systems Without Symbols and Logic, Volume 1, Volume 2 Prerational Intelligence: Interdisciplinary Perspectives on the Behavior of Natural and Artificial Systems, Volume 3, 391–405. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-010-0870-9_26.

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"Perturbation Methods for Oscillatory Systems." In Mathematical Methods for the Natural and Engineering Sciences, 321–66. World Scientific, 2017. http://dx.doi.org/10.1142/9789813202719_0008.

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"Perturbation Methods for Oscillatory Systems." In Mathematical Methods for the Natural and Engineering Sciences, 357–407. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812562548_0008.

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Murray, Richard M. "Biological Circuit Components." In Biomolecular Feedback Systems. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691161532.003.0005.

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This chapter describes some simple circuit components that have been constructed in E. coli cells using the technology of synthetic biology and then considers a more complicated circuit that already appears in natural systems to implement adaptation. It first analyzes the negatively autoregulated gene fabricated in E. coli bacteria, before turning to the toggle switch, which is composed of two genes that mutually repress each other. The chapter next illustrates a dynamical model of a “repressilator”—an oscillatory genetic circuit consisting of three repressors arranged in a ring fashion. The activator–repressor clock is then considered, alongside an incoherent feedforward loop (IFFL). Finally, the chapter examines bacterial chemotaxis, which E. coli use to move in the direction of increasing nutrients.
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Epstein, Irving R., and John A. Pojman. "Biological Oscillators." In An Introduction to Nonlinear Chemical Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195096705.003.0019.

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Including a chapter on biological oscillators was not an easy decision. In one sense, no book on nonlinear chemical dynamics would be complete without such a chapter. Not only are the most important and most numerous examples of chemical oscillators to be found in living systems, but the lure of gaining some insight into the workings of biological oscillators and into the remarkable parallels between chemical and biological oscillators attracts many, perhaps most, new initiates to the study of “exotic” chemical systems. On the other hand, it is impossible for us to do even a minimal job of covering the ground that ought to be covered, either in breadth or in depth. To say that the subject demands a whole book is to understate the case badly. There are indeed whole books, many of them excellent, devoted to various aspects of biological oscillators. We mention here only four of our favorites, the volumes by Winfree (1980), Glass and Mackey (1988), Murray (1993) and Goldbeter (1996). Having abandoned the unreachable goal of surveying the field, even superficially, we have opted to present brief looks at a handful of oscillatory phenomena in biology. Even here, our treatment will only scratch the surface. We suspect that, for the expert, this chapter will be the least satisfying in the book. Nonetheless, we have included it because it may also prove to be the most inspiring chapter for the novice. The range of periods of biological oscillators is considerable, as shown in Table 13.1. In this chapter, we focus on three examples of biological oscillation: the activity of neurons; polymerization of microtubulcs; and certain pathological conditions, known as dynamical diseases, that arise from changes in natural biological rhythms. With the possible exception of the first topic, these are not among the best-known nor the most thoroughly studied biological oscillators; they have been chosen because we feel that they can be presented, in a few pages, at a level that will give the reader a sense of the fascinating range of problems offered by biological systems.
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Epstein, Irving R., and John A. Pojman. "Introduction—A Bit of History." In An Introduction to Nonlinear Chemical Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195096705.003.0006.

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Oscillations of chemical origin have been present as long as life itself. Every living system contains scores, perhaps hundreds, of chemical oscillators. The systematic study of oscillating chemical reactions and of the broader field of nonlinear chemical dynamics is of considerably more recent origin, however. In this chapter, we present a brief and extremely idiosyncratic overview of some of the history of nonlinear chemical dynamics. In 1828, Fechner described an electrochemical cell that produced an oscillating current, this being the first published report of oscillations in a chemical system. Ostwald observed in 1899 that the rate of chromium dissolution in acid periodically increased and decreased. Because both systems were inhomogeneous, it was believed then, and through much of our own century, that homogeneous oscillating reactions were impossible. Degn wrote in 1972 (p. 302): “It is hard to think of any other question which already occupied chemists in the nineteenth century and still has not received a satisfactory answer.” In that same year, though, answers were coming. How it took so long for the nature of oscillating chemical reactions to be understood and how that understanding eventually came about will be the major focus of this chapter. Although oscillatory behavior can be seen in many chemical systems, we shall concentrate primarily on homogeneous, isothermal reactions in aqueous solution. In later chapters, we shall broaden our horizons a bit. While the study of oscillating reactions did not become well established until the mid-1970s, theoretical discussions go back to at least 1910. We consider here some of the early theoretical and experimental work that led up to the ideas of Prigogine on nonequilibrium thermodynamics and to the experimental and theoretical work of Belousov, Zhabotinsky, Field, Körös, and Noyes, all of whom did much to persuade chemists that chemical oscillations, traveling fronts, and other phenomena that now comprise the repertoire of nonlinear chemical dynamics were deserving of serious study. Alfred Lotka was one of the more interesting characters in the history of science. He wrote a handful of theoretical papers on chemical oscillation during the early decades of this century and authored a monograph (1925) on theoretical biology that is filled with insights that still seem fresh today.
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Conference papers on the topic "Natural oscillatory systems"

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Gritsunov, Alexander. "The quantum dynamics of natural distributed oscillatory systems." In 2016 9th International Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW). IEEE, 2016. http://dx.doi.org/10.1109/msmw.2016.7538037.

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Gritsunov, Alexander, Igor Bondarenko, Alexey Pashchenko, and Oksana Babychenko. "Theory of natural oscillatory systems and advance in nanoelectronics." In 2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET). IEEE, 2018. http://dx.doi.org/10.1109/tcset.2018.8336230.

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Gritsunov, Alexander, Igor Bondarenko, Alexey Pashchenko, and Gennady Bendeberya. "The Statistics of Fermion Natural Oscillatory Systems in Nanoelectronic Technology." In 2019 IEEE 2nd Ukraine Conference on Electrical and Computer Engineering (UKRCON). IEEE, 2019. http://dx.doi.org/10.1109/ukrcon.2019.8879976.

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Vanegas Useche, Libardo V., Magd M. Abdel Wahab, and Graham A. Parker. "Qualitative Experimental Behavior of Oscillatory Gutter Brushes." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59427.

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Cutting and flicking128 brushes are two types of gutter brushes that sweep the debris that lies in the gutter towards the main sweeping mechanism of a street sweeper. As most of the debris is commonly found in the gutter, the operation of gutter brushes is important. In this work, the concept of oscillatory gutter brushes is studied. Qualitative experimental tests are carried out to determine frequencies at which enhanced vibration patterns of the bristles of cutting and flicking128 brushes are obtained. The brushes are rotated at variable angular speed, first in free rotation, and then against a concrete test bed. The findings are analyzed in the light of previous theoretical results. The results suggest that bristle vibrations may be excited at the first natural frequency of the bristles for both brush types. Notably, the trends indicate that when the frequency is a third of the first natural frequency, a resonant condition seems to occur. The results also indicate that an equivalent length for bristle vibration has to be calculated, due to the way in which the bristles are clamped into the mounting board. This equivalent length is necessary for the comparison between the experimental and analytical results. These tests are useful in the determination of frequencies that may be potentially helpful during sweeping.
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Rivera Ramírez, José Luis, and Luis Omar Becerra Santiago. "Natural Gas Density Measurement with an Oscillator type Density meter." In NCSL International Workshop & Symposium. NCSL International, 2020. http://dx.doi.org/10.51843/wsproceedings.2020.28.

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The density results of a natural gas sample are presented, which were obtained by making the measurement experimentally using an oscillatory type density meter. This instrument is used in applications for research and development of measurement systems, as well as in industries. The measurement system that was designed to determine the density of natural gas was worked with pressure values within the range of 80 to 1 000 kPa and at a constant temperature of 20 ° C. The experimental results of the density of natural gas were compared with results obtained with the calculation according to ISO 9676: 2016 standard, obtaining satisfactory conclusions.
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Liao, Yixiang, Christoph Schuster, Suqing Hu, and Dirk Lucas. "CFD Modelling of Flashing Instability in Natural Circulation Cooling Systems." In 2018 26th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icone26-81787.

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Passive cooling systems driven by natural circulation are common design features of proposals for advanced reactors. The natural circulation systems are inherently more unstable than forced circulation ones due to its nonlinear nature and low driving force. Any disturbance, e.g. flashing or boiling inception, in the driving force will affect the flow which in turn will influence the driving force leading to an oscillatory behavior. Owing to safety concerns, flashing instability particularly for advanced boiling water reactors has been broadly investigated, and many test facilities have been constructed in the past. A number of numerical analyses of experimental test cases are available. Nevertheless, there exists a need to update the method from one-dimensional system codes to high-resolution computational fluid dynamics (CFD). In the present work flashing-induced instability behavior and flow pattern in the riser of the GENEVA facility, which is a downscale of a reactor containment passive cooling system, is investigated using the commercial CFD code ANSYS CFX. A two-fluid model is adopted for the unstable turbulent gas-liquid flow, and the HZDR baseline closure is used to model interphase mass, momentum, heat transfer as well as bubble-induced turbulence. The simulated fluid temperature, pressure and local void fraction at different heights of the riser are compared with the measured ones. The limitation and possibility of the CFD technique for such complex two-phase scenarios are discussed, and suggestions for improving the predictability of simulations are made.
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Vanegas Useche, Libardo V., Magd M. Abdel Wahab, and Graham A. Parker. "Theoretical Model for the Dynamics of an Unconstrained Cutting Brush of a Street Sweeper." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95563.

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A theoretical model for the free-flight behaviour of an oscillatory cutting brush of a street sweeper is developed. The bristles are modelled as cantilever beams, and the equation of motion for the transverse vibrations is derived based on the theory of vibrations and small deflection beam theory. Two angular velocity functions are studied: a sinusoidal function and a function that provides small shaft accelerations and whose exact shape depends on a parameter b. The model is applied for a range of frequencies of oscillation that contains the first and second natural frequency of the bristle. The effects of the alternating component of the rotational speed, the type of function, and the value of b are also studied. The results are compared with those obtained in a previous work for a flicking brush. The findings suggest that the bending moment and bristle deflection tend to depend fairly linearly on the alternating velocity. In contrast to the bristles of a flicking brush, in the cutting brush resonance tends to occur only near the natural frequencies of the bristle. Additionally, the behaviour of the cutting brush is similar for both functions and for different values of b.
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Bryant, Matthew, Ricky Tse, and Ephrahim Garcia. "Investigation of Host Structure Compliance in Aeroelastic Energy Harvesting." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-7978.

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This paper experimentally investigates the interactions between host structure compliance and natural frequency and the behavior of a fluttering piezoelectric energy harvester. Unlike the base excitation case where a piezoelectric energy harvester extracts energy from a vibrating base structure, the aeroelastic flutter energy harvester generates limit cycle oscillations from an ambient fluid flow. The flow induced oscillatory motion of the energy harvester can transfer energy into the host mounting structure, and may introduce significant vibrations in the structure as well affect the behavior of the energy harvester itself. The energy harvester motion and electrical output is compared for a rigid host structure, as well as a flexible host structure, and the vibrations induced in the host structures are also be examined. The results show significant effects on the energy harvester cut-in wind speed, power output, flutter limit cycle oscillation frequency, and optimal electrical load as a result of the host structure compliance.
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Greiner, Miles, Paul F. Fischer, and Henry Tufo. "Numerical Simulations of Resonant Heat Transfer Augmentation at Low Reynolds Numbers." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/htd-24100.

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Abstract The effect of flow rate modulation on low Reynolds number heat transfer enhancement in a transversely grooved passage was numerically simulated using a two-dimensional spectral element technique. Simulations were performed at subcritical Reynolds numbers of Rem = 133 and 267, with 20% and 40% flow rate oscillations. The net pumping power required to modulate the flow was minimized as the forcing frequency approached the predicted natural frequency. However, mixing and heat transfer levels both increased as the natural frequency was approached. Oscillatory forcing in a grooved passage requires two orders of magnitude less pumping power than flat passage systems for the same heat transfer level. Hydrodynamic resonance appears to be an effective method of increasing heat transfer in low Reynolds number systems where pumping power is at a premium, such as micro heat transfer applications.
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Khoshnoud, Farbod, Houman Owhadi, and Clarence W. de Silva. "Stochastic Simulation of a Casimir Oscillator." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39746.

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Stochastic simulation of a Casimir Oscillator is presented in this paper. This oscillator is composed of a flat boundary of semiconducting oscillator parallel to a fixed plate separated by vacuum. In this system the oscillating surface is attracted to the fixed plate by the Casimir effect, due to quantum fluctuations in the zero point electromagnetic field. Motion of the oscillating boundary is opposed by a spring. The stored potential energy in the spring is converted into kinetic energy when the spring force exceeds the Casimir force, which generates an oscillatory motion of the moving plate. Casimir Oscillators are used as micro-mechanical switches, sensors and actuators. In the present paper, a stochastic simulation of a Casimir oscillator is presented for the first time. In this simulation, Stochastic Variational Integrators using a Langevin equation, which describes Brownian motion, is considered. Formulations for Symplectic Euler, Constrained Symplectic Euler, Stormer-Verlet and RATTLE integrators are obtained and the Symplectic Euler case is solved numerically. When the moving parts in a micro/nano system travel in the vicinity of 10 nanometers to 1 micrometer range relative to other parts of the system, the Casimir phenomenon is in effect and should be considered in analysis and design of such system. The simulation in this paper considers modeling such uncertainties as friction, effect of surface roughness on the Casimir force, and change in environmental conditions such as ambient temperature. In this manner the paper explores a realistic model of the Casimir Oscillator. Furthermore, the presented study of this system provides a deeper understanding of the nature of the Casimir force.
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