Dynamical Chaos, Models And Experiments: Appearance Routes And Stru Of Chaos In Simple Dyna Systems
Will be published approx. on 1. September 1995
Book
Hardback
400 pages
978-981-02-2142-3 (ISBN)
Description
In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
ISBN-13
978-981-02-2142-3 (9789810221423)
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Schweitzer Classification
Person
Content
Stability and bifurcation of dynamical systems; numerical methods of chaos investigations; inertial non-linearity oscillator - bifurcations of regular attractors; autonomous oscillation regimes in the oscillator; structure and properties of quasiattractors and homoclinic trajectory of autonomous oscillator; collapse of the two-frequency oscillations; collapse of two- and three-frequency quasiperiodic oscillations; synchronization of chaos; nonlinear phenomena and chaos in Chua's circuit; bifurcations of dynamical system in the presence of noise; structure and properties of chaos in the presence of noise.