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035   $a(OCoLC)794687010
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100   $a20120305d2012      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSpaces of dynamical systems$b[electronic resource] /$fSergei Yu. Pilyugin
205   $a1st ed.
210   $aBerlin ;$aBoston $cDe Gruyter$dc2012
215   $a1 online resource (248 p.)
225 1 $aDe Gruyter studies in mathematical physics ;$v3
300   $aDescription based upon print version of record.
311   $a3-11-025841-2 
311   $a3-11-025595-2 
320   $aIncludes bibliographical references and index.
327   $aDynamical 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.
330   $aDynamical systems are abundant in theoretical physics and engineering. Their understanding, with sufficient mathematical rigor, is vital to solving many problems. This work conveys the modern theory of dynamical systems in a didactically developed fashion.In addition to topological dynamics, structural stability and chaotic dynamics, also generic properties and pseudotrajectories are covered, as well as nonlinearity. The author is an experienced book writer and his work is based on years of teaching.
410  0$aDe Gruyter studies in mathematical physics ;$v3.
606   $aDynamics
610   $aChaotic Dynamics.
610   $aDynamical Systems.
610   $aGeneric Properties.
610   $aPseudotrajectories.
610   $aStructural Stability.
610   $aTopological Dynamics.
615  0$aDynamics.
676   $a515/.39
686   $aSK 520$2rvk
700   $aPilyugin$b Sergei Yu$g(Sergei Yurievitch),$f1947-$060268
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910807035203321
996   $aSpaces of dynamical systems$93935654
997   $aUNINA