02742nam 22005655 450 991104092210332120251113120414.0981-9507-13-810.1007/978-981-95-0713-9(MiAaPQ)EBC32410055(Au-PeEL)EBL32410055(CKB)42784809200041(DE-He213)978-981-95-0713-9(EXLCZ)994278480920004120251113d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSymbolic Analysis of Dynamical Systems /by George Osipenko1st ed. 2025.Singapore :Springer Nature Singapore :Imprint: Springer,2025.1 online resource (370 pages)Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao,3005-1975981-9507-12-X Introduction -- Symbolic Image of Dynamic System -- Shadowing of Trajectories -- Attractors and Filtrations -- Invariant measures -- Ergodic Measures -- Entropy -- Averaging -- Lyapunov Exponent -- Numerical Exploration -- Appendix.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.Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao,3005-1975DynamicsFunctional analysisDifferential equationsDynamical SystemsFunctional AnalysisDifferential EquationsDynamics.Functional analysis.Differential equations.Dynamical Systems.Functional Analysis.Differential Equations.515.39Osipenko George302225MiAaPQMiAaPQMiAaPQBOOK9911040922103321Symbolic Analysis of Dynamical Systems4456744UNINA