Spaces of dynamical systems:
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Bibliographische Detailangaben
1. Verfasser: Pilyugin, Sergei Yu, (Sergei Yurievitch) (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Berlin De Gruyter ©2012
Schriftenreihe:De Gruyter studies in mathematical physics 3
Schlagworte:
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Beschreibung:Includes bibliographical references and index
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
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
Beschreibung:1 Online-Ressource (xv, 229 pages)
ISBN:3110255952
3110258412
9783110255959
9783110258417

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