02962nam 2200709 a 450 991080703520332120240516150834.01-280-57052-0978661360012710.1515/9783110258417(CKB)2550000000101279(EBL)894045(OCoLC)794687010(SSID)ssj0000679201(PQKBManifestationID)11368118(PQKBTitleCode)TC0000679201(PQKBWorkID)10609892(PQKB)11083843(MiAaPQ)EBC894045(DE-B1597)124044(OCoLC)798761494(DE-B1597)9783110258417(Au-PeEL)EBL894045(CaPaEBR)ebr10562589(CaONFJC)MIL360012(EXLCZ)99255000000010127920120305d2012 uy 0engur|n|---|||||txtccrSpaces of dynamical systems[electronic resource] /Sergei Yu. Pilyugin1st ed.Berlin ;Boston De Gruyterc20121 online resource (248 p.)De Gruyter studies in mathematical physics ;3Description based upon print version of record.3-11-025841-2 3-11-025595-2 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.De Gruyter studies in mathematical physics ;3.DynamicsChaotic Dynamics.Dynamical Systems.Generic Properties.Pseudotrajectories.Structural Stability.Topological Dynamics.Dynamics.515/.39SK 520rvkPilyugin Sergei Yu(Sergei Yurievitch),1947-60268MiAaPQMiAaPQMiAaPQBOOK9910807035203321Spaces of dynamical systems3935654UNINA