Symbolic Analysis of Dynamical Systems

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, constructio...

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Bibliographische Detailangaben
1. Verfasser: Osipenko, George (VerfasserIn)
Körperschaft: SpringerLink (Online service)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Ausgabe:1st ed. 2025.
Schriftenreihe:Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao,
Schlagworte:
Online-Zugang:https://doi.org/10.1007/978-981-95-0713-9
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Beschreibung
Zusammenfassung: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.
Beschreibung:1 online resource (XI, 226 p. 38 illus.). 13 illus. in color.
ISBN:9789819507139
ISSN:3005-1975
DOI:10.1007/978-981-95-0713-9