Clark Robinson

Dynamical Systems (eBook, ePUB)

Stability, Symbolic Dynamics, and Chaos

• Format: ePub

Produktbeschreibung

The second edition of this popular text continues to treat dynamical systems from a mathematical perspective centering on multidimensional systems of real variables. At a level accessible to beginning graduate students, it addresses the dynamics of both the iteration of functions and solutions of ordinary differential equations. This edition includes material on horsehoes, an additional chapter on Hamiltonian systems, a revised discussion of the saddle node bifurcation, and proof of the ergodicity of a hyperbolic toral automorphism. Numerous exercises help readers understand the theorems presented and master the techniques of the proofs and topics under consideration.

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Produktdetails

• Verlag: Taylor & Francis
• Erscheinungstermin: 17. November 1998
• Englisch
• ISBN-13: 9781040072615
• Artikelnr.: 72518953

Autorenporträt

Clark Robinson

Inhaltsangabe

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

Rezensionen

"...was impressed with the teachability of this text and with the exercises at the end of each chapter, which seemed be nicely graded in difficulty."
-D. Givoli, APPLIED MECHANICS REVIEWS