Symbolic Analysis of Dynamical Systems / / by George Osipenko

• Autore: Osipenko George
• Pubblicazione: Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025
• Edizione: 1st ed. 2025.
• Descrizione fisica: 1 online resource (370 pages)
• Disciplina: 515.39
• Soggetto topico: Dynamics; Functional analysis; Differential equations; Dynamical Systems; Functional Analysis; Differential Equations
• Nota di contenuto: Introduction -- Symbolic Image of Dynamic System -- Shadowing of Trajectories -- Attractors and Filtrations -- Invariant measures -- Ergodic Measures -- Entropy -- Averaging -- Lyapunov Exponent -- Numerical Exploration -- Appendix.
• Sommario/riassunto: 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.
• Titolo autorizzato: Symbolic Analysis of Dynamical Systems
• ISBN: 981-9507-13-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911040922103321
• Lo trovi qui: Univ. Federico II
• Serie: Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao, . 3005-1975