An approach to chaotic synchronization
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This paper deals with the chaotic oscillator synchronization. An approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by the coupled chaotic oscillators. It has been shown that complete synchronization, phase synchronization, lag synchronization, and generalized synchronization are the particular cases of the synchronized behavior called “time-scale synchronization.” The quantitative measure of chaotic oscillator synchronous behavior has been proposed. This approach has been applied for the coupled Rössler systems and two coupled Chua’s circuits.
- Saratov State University Russian Federation
Models, Statistical, Time Factors, Physics, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Systems Theory, FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Chaotic Dynamics, Nonlinear Sciences - Pattern Formation and Solitons, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Physical Phenomena, Complex behavior and chaotic systems of ordinary differential equations, Nonlinear Dynamics, Oscillometry, Time series analysis of dynamical systems, Chaotic Dynamics (nlin.CD)
Models, Statistical, Time Factors, Physics, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Systems Theory, FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Chaotic Dynamics, Nonlinear Sciences - Pattern Formation and Solitons, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Physical Phenomena, Complex behavior and chaotic systems of ordinary differential equations, Nonlinear Dynamics, Oscillometry, Time series analysis of dynamical systems, Chaotic Dynamics (nlin.CD)
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