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Record Nr. |
UNINA9910807035203321 |
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Autore |
Pilyugin Sergei Yu (Sergei Yurievitch), <1947-> |
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Titolo |
Spaces of dynamical systems [[electronic resource] /] / Sergei Yu. Pilyugin |
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Pubbl/distr/stampa |
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Berlin ; ; Boston, : De Gruyter, c2012 |
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ISBN |
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1-280-57052-0 |
9786613600127 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (248 p.) |
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Collana |
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De Gruyter studies in mathematical physics ; ; 3 |
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Classificazione |
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Disciplina |
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Soggetti |
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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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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Dynamical systems -- Topologies on spaces of dynamical systems -- Equivalence relations -- Hyperbolic fixed point -- Hyperbolic rest point and hyperbolic closed trajectory -- Transversality -- Hyperbolic sets -- Anosov diffeomorphisms -- Smale's horseshoe and chaos -- Closing lemma -- C0-generic properties of dynamical systems -- Shadowing of pseudotrajectories in dynamical systems. |
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Sommario/riassunto |
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Dynamical systems are abundant in theoretical physics and engineering. Their understanding, with sufficient mathematical rigor, is vital to solving many problems. This work conveys the modern theory of dynamical systems in a didactically developed fashion.In addition to topological dynamics, structural stability and chaotic dynamics, also generic properties and pseudotrajectories are covered, as well as nonlinearity. The author is an experienced book writer and his work is based on years of teaching. |
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