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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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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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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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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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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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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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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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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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Nonlinear dynamics and nonlinear dynamical systems
2015The concept of Dynamics exists everywhere in our lives. As an integral component of daily reality, engineers and scientists research, analyze, and observe the behaviors of dynamics and dynamical systems and their application in our real world activities. As a general rule, dynamical systems are characterized by their nonlinear quality.
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Nonlinear Dynamic Systems: Uncoupled
2016It is actually quite common for oscillations to appear in natural and social systems — economic boom–bust cycles, ice ages, and the predator-prey dynamics of rabbits and foxes.How do we explain persistent, stable oscillations? Spirals in linear systems (Figure 5.6) have an oscillation tendency, but are either stable, converging to a point, or unstable ...
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