Symbolic Analysis of Dynamical Systems (eBook)

George Osipenko (Autor)

eBook Download: PDF

2025
226 Seiten
Springer Nature Singapore (Verlag)
978-981-95-0713-9 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 14.12.2025
• Reihe/Serie: Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao
• Zusatzinfo: XI, 226 p. 38 illus., 13 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: attractor • Averaging • Chain-recurrent set • complex (chaotic) behavior of solutions • Dynamical Systems • Entropy • Graph Algorithms • homoclinic and heteroclinic solutions • hyperbolicity • hyperbolic orbits and sets • invariant measures • Lyapunov exponent • Measure-Preserving Transformations • shadowing • Structural Stability • symbolic dynamics • Symbolic image • topological structure
• ISBN-10: 981-95-0713-8 / 9819507138
• ISBN-13: 978-981-95-0713-9 / 9789819507139