Регулярные и хаотические автоколебания. Синхронизация и влияние флуктуаций

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Textbook-Monograph. — Dolgoprudny: Intellect Publishing House, 2009. — 312 s. — ISBN 978-5-91559-066-2 . Foreword by . Foundations of Dynamical Systems Theory . Dynamical system and its mathematical model . Stability of phase trajectories. Bifurcations of dynamical systems, catastrophes. Dynamical system attractors . Deterministic chaos . Auto oscillating systems with one degree of freedom: Van der Pole oscillator, generator with hard excitation. Examples of auto-oscillation systems described by the equation of an oscillator with nonlinear dissipation. — Study of the dynamics of the Van der Pole oscillator . — Investigation of the dynamics of the generator with rigid excitation. Auto-oscillation systems with one and a half and two degrees of freedom. Teodorchik Generator . Alternator modification with inertial nonlinearity. Anishchenko-Astakhov Generator . — Chua Generator . State of equilibrium of the Chua system . Generators of quasi-periodic oscillations . Chain Chua. Generator of quasi-periodic oscillations with two independent frequencies. Bifurcation of torus doubling. Synchronization of auto oscillations. Synchronization of periodic auto oscillations. Synchronization of quasi-periodic oscillations. Synchronization of chaos. Fluctuations in auto-oscillation systems. The Theory of Random Processes . — Fluctuations in an autonomous quasi-harmonic generator. — Methods of measuring fluctuations of autogenerators . — Generalization of the spectral-correlation theory of fluctuations in the case of spiral chaos generators . Synchronization of auto oscillations in the presence of noise. Applications. Conversion of noise sources in the autogenerator. Obtaining expression for autocorrelation function of oscillating generator with noise
LF/215062669/R
Data sheet
- Name of the Author
- Анищенко В.С.
Астахов В.В.
Вадивасова Т.Е. - Language
- Russian