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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 216 mm
Breite: 152 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-981-02-2142-3 (9789810221423)
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Schweitzer Klassifikation
Autor*in
Saratov State Univ, Russia
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.
