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1. |
Record Nr. |
UNINA9911040922103321 |
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Autore |
Osipenko George |
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Titolo |
Symbolic Analysis of Dynamical Systems / / by George Osipenko |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (370 pages) |
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Collana |
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Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao, , 3005-1975 |
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Disciplina |
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Soggetti |
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Dynamics |
Functional analysis |
Differential equations |
Dynamical Systems |
Functional Analysis |
Differential Equations |
Dinàmica |
Equacions diferencials |
Anàlisi funcional |
Sistemes dinàmics diferenciables |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Introduction -- Symbolic Image of Dynamic System -- Shadowing of Trajectories -- Attractors and Filtrations -- Invariant measures -- Ergodic Measures -- Entropy -- Averaging -- Lyapunov Exponent -- Numerical Exploration -- Appendix. |
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Sommario/riassunto |
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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 |
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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. |
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