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International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems, 1985
Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds.
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Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds.
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Chaotic Systems Reconstruction
2010This chapter deals with the multiple model approach based chaotic systems reconstruction. The approach is based on the design of unknown inputs multiple observers using Linear Matrix Inequalities (\( \mathcal{L}\mathcal{M}\mathcal{I} \)) formulation. The objective is to estimate state variables of a multiple model subject to unknown inputs affecting ...
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Predefined-time synchronization of chaotic systems with different dimensions and applications
Chaos, Solitons and Fractals, 2021Assali El Abed
exaly
1981
Modern science owes its success to its ability to predict natural phenomena, thus allowing man a degree of control over his surroundings. The steady increase in man’s predictive power has enabled the building of a variety of machines which have transformed daily life.
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Modern science owes its success to its ability to predict natural phenomena, thus allowing man a degree of control over his surroundings. The steady increase in man’s predictive power has enabled the building of a variety of machines which have transformed daily life.
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A novel image encryption cryptosystem based on true random numbers and chaotic systems
Multimedia Systems, 2021Shuang Zhou, Xingyuan Wang, Mingxu Wang
exaly
2000
Abstract This chapter introduces chaotic behaviour by examining three systems — an electronic circuit, an iterated map model (the logistic map), and a set of differential equations (the Lorenz model) — and their behaviour in state space (phase space).
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Abstract This chapter introduces chaotic behaviour by examining three systems — an electronic circuit, an iterated map model (the logistic map), and a set of differential equations (the Lorenz model) — and their behaviour in state space (phase space).
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Design of multi-wing chaotic systems with higher largest Lyapunov exponent
Chaos, Solitons and Fractals, 2022Shilalipi Sahoo, Binoy Krishna Roy
exaly
Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization
Nonlinear Dynamics, 2018Junwei Sun, Jie Fang, Yangfeng Wang
exaly