Symbolic Analysis of Dynamical Systems E-Book

George Osipenko

• Herausgeber: Springer Nature Singapore
• Kategorie: Fachliteratur
• Serie: Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao
• Sprache: Englisch

Veröffentlichungsjahr: 2025

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.