Overview

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.Contents: Stability and Bifurcation of Dynamical SystemsNumerical Methods of Chaos InvestigationsInertial Nonlinearity Oscillator. Regular Attractor BifurcationsAutonomous Oscillation Regimes in OscillatorQuasiattractor Structure and Properties and Homoclinic Trajectories of Autonomous OscillatorTwo-Frequency Oscillation BreakdownBreakdown of Two- and Three-Frequency Quasiperiodic OscillationsSynchronization of ChaosNonlinear Phenomena and Chaos in Chua's CircuitBifurcations of Dynamical System in the Presence of NoiseChaos Structure and Properties in the Presence of NoiseReconstruction of Dynamical Systems from Experimental DataReadership: Students of nonlinear dynamics and electronics engineering.

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9781299633292

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