Nonlinear Dynamics and Chaos : Geometrical Methods for Engineers and Scientists

Nonlinear Dynamics and Chaos : Geometrical Methods for Engineers and Scientists

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  • 製本 Hardcover:ハードカバー版
  • 言語 ENG,ENG
  • 商品コード 9780471909606
  • DDC分類 531.11

Table of Contents

  Introduction.
BASIC CONCEPTS OF NONLINEAR DYNAMICS.
An Overview of Nonlinear Phenomena.
Point Attractors in Autonomous Systems.
Limit Cycles in Autonomous Systems.
Periodic Attractors in Driven Oscillators.
Chaotic Attractors in Forced Oscillators.
Stability and Bifurcations of Equilibria and
Cycles.
ITERATED MAPS AS DYNAMICAL SYSTEMS.
Stability and Bifurcation of Maps.
Chaotic Behaviour of One and Two-Dimensional
Maps.
FLOWS, OUTSTRUCTURES AND CHAOS.
The Geometry of Recurrence.
The Lorenz System.
Rossler's Band.
Geometry of Bifurcations.
APPLICATIONS IN THE PHYSICAL SCIENCES.
Subharmonic Resonances of an Off-Shore
Structure.
Chaotic Motions of An Impacting System.
The Particle Accelerator and Beam-Beam
Interaction.
Experimental Observations of Order and Chaos
(H. L. Swinney).
Bibliography.
Index.