Results 211 to 220 of about 25,524 (260)
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Noise in nonlinear dynamical systems
Contemporary Physics, 1990Abstract Noise is commonly regarded as having a destructive but relatively innocuous effect, blurring our view of a system but having no effect on the underlying processes involved. In this paper we show, using examples from stochastic nonlinear dynamics, that these intuitive ideas about noise can be very misleading.
MANNELLA, RICCARDO, MCCLINTOCK PVE
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Nonlinear Dynamics of Microelectromechanical Systems
Journal of Vibration and Control, 2006We investigate the dynamic behavior of a micromachined switch including a thin metal membrane called the “bridge”. A nonlinear model is presented considering mechanical force, electrostatic force, and the squeeze-film damping force, and the dynamic equations of a double model for the micromachined system are derived.
Liu, Liqin, Gang, Tangyou, Wu, Zhiqiang
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The Nonlinear Dynamics of the Crayfish Mechanoreceptor System
International Journal of Bifurcation and Chaos, 2003We review here the nonlinear dynamical properties of the crayfish mechanoreceptor system from the hydrodynamically sensitive hairs on the tailfan through the caudal photoreceptor neurons embedded in the 6th ganglion. Emphasis is on the extraction of low dimensional behavior from the random processes (noise) that dominate this neural system.
Sonya Bahar, Frank Moss
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Dynamics of Nonlinear Stochastic Systems
Journal of Mathematical Physics, 1961A method for treating nonlinear stochastic systems is described which it is hoped will be useful in both the quantum-mechanical many-body problem and the theory of turbulence. In this method the true problem is replaced by models that lead to closed equations for correlation functions and averaged Green's functions.
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NONLINEAR DYNAMICAL SYSTEM AND CHAOS SYNCHRONIZATION
International Journal of Bifurcation and Chaos, 2008Chaos synchronization of nonlinear dynamical systems has been studied through theoretical and numerical techniques. For the synchronization of two identical nonlinear chaotic dynamical systems a theorem has been constructed based on the Lyapunov function, which requires a minimal knowledge of system's structure to synchronize with an identical ...
Ayub Khan, Prempal Singh
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Fault Estimation for Nonlinear Dynamic Systems
Circuits, Systems, and Signal Processing, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji-Qing Qiu +4 more
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Physics of Life Reviews, 2017
In this chapter, the concepts of nonlinear dynamical systems will be introduced. The local theory of nonlinear dynamical systems will be briefly discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be discussed.
Albert C. J. Luo, Bo Yu
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In this chapter, the concepts of nonlinear dynamical systems will be introduced. The local theory of nonlinear dynamical systems will be briefly discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be discussed.
Albert C. J. Luo, Bo Yu
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On Nonlinear Perturbations of Dynamical Systems
IMA Journal of Mathematical Control and Information, 1985The nonlinear variation-of-constants formula is generalized to the case where the unperturbed operator has nonelliptic Fréchet derivation.
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Deterministic learning of nonlinear dynamical systems
Proceedings of the 2003 IEEE International Symposium on Intelligent Control ISIC-03, 2003In this paper, we present an approach for neural networks (NN) based identification of unknown nonlinear dynamical systems undergoing periodic or periodic-like (recurrent) motions. Among various types of NN architectures, we use a dynamical version of the localized RBF neural network, which is shown to be particularly suitable for identification in a ...
Wang, C, Chen, G, Hill, DJ
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Nonlinear Dynamics of Aeroelastic Systems
Nonlinear Dynamics of Shells and Plates, 2000Abstract Aeroelastic systems are those that involve the coupled interaction between a convecting fluid and a flexible elastic structure. The nonlinear dynamical response of such systems is of great current interest. Existing aircraft are known to encounter limit cycle oscillations (LCO) in certain flight regimes, and relatively simple ...
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