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Symbolic analysis of dynamical systems

Osipenko, George.

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Symbolic analysis of dynamical systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Symbolic analysis of dynamical systems/ by George Osipenko.
作者:	Osipenko, George.
出版者:	Singapore :Springer Nature Singapore : : 2025.,
面頁冊數:	xi, 226 p. :ill. (some col.), digital ;24 cm.
內容註:	Introduction -- Symbolic Image of Dynamic System -- Shadowing of Trajectories -- Attractors and Filtrations -- Invariant measures -- Ergodic Measures -- Entropy -- Averaging -- Lyapunov Exponent -- Numerical Exploration -- Appendix.
Contained By:	Springer Nature eBook
標題:	Dynamics. -
電子資源:	https://doi.org/10.1007/978-981-95-0713-9
ISBN:	9789819507139

Symbolic analysis of dynamical systems
Osipenko, George.

Symbolic analysis of dynamical systems[electronic resource] /by George Osipenko. - Singapore :Springer Nature Singapore :2025. - xi, 226 p. :ill. (some col.), digital ;24 cm. - Mathematical marvels: texts and monographs in the spirit of CR Rao,3005-1975. - Mathematical marvels: texts and monographs in the spirit of CR Rao..

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

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.

ISBN: 9789819507139

Standard No.: 10.1007/978-981-95-0713-9doiSubjects--Topical Terms:

519830
Dynamics.

LC Class. No.: QA845 / .O85 2025

Dewey Class. No.: 531.11

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