Symbolic Analysis of Dynamical Systems
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Beschreibung
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.
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.
Focuses on the study of the global properties of the dynamical systems Gives a justification of using numerical methods for solving several mathematical problems Targets researchers in dynamical systems in engineering, physics, chemistry, biology, economics, and demography
Autor*in
George Osipenko
Themen in »Symbolic Analysis of Dynamical Systems«
symbolic image shadowing chain-recurrent set attractor invariant measures entropy averaging structural stability Lyapunov exponent hyperbolicity graph algorithms homoclinic and heteroclinic solutions measure-preserving transformations symbolic dynamics structural stability