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Dynamical Systems - Clark Robinson

Dynamical Systems

Stability, Symbolic Dynamics, and Chaos

(Autor)

Buch | Hardcover
524 Seiten
1998 | 2nd edition
Crc Press Inc (Verlag)
978-0-8493-8495-0 (ISBN)
CHF 319,95 inkl. MwSt
Treats the dynamics of both iteration of functions and solutions of ordinary differential equations. This book introduces various concepts for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. It concentrates on properties of the whole system or subsets of the system.
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.

Clark Robinson

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

Erscheint lt. Verlag 17.11.1998
Reihe/Serie Studies in Advanced Mathematics
Verlagsort Bosa Roca
Sprache englisch
Maße 178 x 254 mm
Gewicht 1133 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-8493-8495-8 / 0849384958
ISBN-13 978-0-8493-8495-0 / 9780849384950
Zustand Neuware
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