Symbolic Analysis of Dynamical Systems

Paperback Engels 2025 9789819507122
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This book is devoted to the study of the global properties of the dynamical systems. It gives a justification of using numerical methods for solving several problems such as localization of a chain-recurrent set of trajectories, construction of attractors and their domains of attraction, construction of filtrations, calculation of invariant measures, approximation of ergodic measures, estimation of the entropy of a dynamical system, calculation of the averaging spectrum of a function, calculation of the Morse spectrum, a test for the hyperbolicity of a dynamical system. The book is intended for researchers in dynamical systems and their applications in many scientific and technical disciplines, including engineering, physics, chemistry, biology, economics, and demography.

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Inhoudsopgave

Introduction.- Symbolic Image of Dynamic System.- Shadowing of Trajectories.- Attractors and Filtrations.- Invariant measures.- Ergodic Measures.- Entropy.- Averaging.- Lyapunov Exponent.- Numerical Exploration.- Appendix.

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          Symbolic Analysis of Dynamical Systems