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