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Robinson

Dynamical Systems

Stability, Symbolic Dynamics, and Chaos

Medium: Buch
ISBN: 978-0-8493-8495-0
Verlag: Longman Publishing Group
Erscheinungstermin: 17.11.1998
Lieferfrist: bis zu 10 Tage
Several distinctive aspects make Dynamical Systems unique, including:

- treating the subject from a mathematical perspective with the proofs of most of the results included

- providing a careful review of background materials

- introducing ideas through examples and at a level accessible to a beginning graduate student

- focusing on multidimensional systems of real variables

The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.

Produkteigenschaften


  • Artikelnummer: 9780849384950
  • Medium: Buch
  • ISBN: 978-0-8493-8495-0
  • Verlag: Longman Publishing Group
  • Erscheinungstermin: 17.11.1998
  • Sprache(n): Englisch
  • Auflage: 2. Auflage 1998
  • Serie: Studies in Advanced Mathematics
  • Produktform: Gebunden
  • Gewicht: 1080 g
  • Seiten: 524
  • Format (B x H x T): 179 x 266 x 34 mm
  • Ausgabetyp: Kein, Unbekannt
  • Vorauflage: 978-0-8493-8493-6

Autoren/Hrsg.

Autoren

Robinson, Clark

IntroductionOne Dimensional Dynamics by IterationChaos and Its MeasurementLinear SystemsAnalysis near Fixed Points and Periodic OrbitsHamiltonian SystemsBifurcation of Periodic PointsExamples of Hyperbolic Sets and AttractorsMeasurement of Chaos in Higher DimensionsGlobal Theory of Hyperbolic SystemsGeneric PropertiesSmoothness of Stable Manifolds and Applications