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Symbolic analysis of dynamical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symbolic analysis of dynamical systems/ by George Osipenko.
Author:	Osipenko, George.
Published:	Singapore :Springer Nature Singapore : : 2025.,
Description:	xi, 226 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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
Subject:	Dynamics. -
Online resource:	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

Symbolic analysis of dynamical systems
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245 1 0 $a Symbolic analysis of dynamical systems $h [electronic resource] / $c by George Osipenko.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a xi, 226 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Mathematical marvels: texts and monographs in the spirit of CR Rao, $x 3005-1975
505 0 $a Introduction -- Symbolic Image of Dynamic System -- Shadowing of Trajectories -- Attractors and Filtrations -- Invariant measures -- Ergodic Measures -- Entropy -- Averaging -- Lyapunov Exponent -- Numerical Exploration -- Appendix.
520 $a 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.
650 0 $a Dynamics. $3 519830
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Differential Equations. $3 907890
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