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Generalized phase synchronization in unidirectionally coupled chaotic oscillators.

Dae-Sic Lee¹, Won-Ho Kye, Sunghwan Rim

¹National Creative Research Initiative Center for Controlling Optical Chaos, Pai-Chai University, Daejeon 302-735, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 6, 2003

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Phase synchronization can occur between coupled oscillators even with different inputs. This generalized phase synchronization is observed when response oscillators receive correlated, but not identical, drive signals.

Area of Science:

Nonlinear dynamics
Coupled oscillator systems
Complex systems

Background:

Oscillator synchronization is fundamental in various scientific fields.
Understanding synchronization under non-identical driving conditions is crucial.
Existing models often assume identical driving forces.

Purpose of the Study:

To investigate phase synchronization in coupled oscillators with detuned drive inputs.
To introduce and characterize a phenomenon termed 'generalized phase synchronization'.
To explore the conditions under which coupled oscillators synchronize despite dissimilar driving signals.

Main Methods:

Mathematical modeling of coupled response and drive oscillators.
Analysis of system dynamics using Lyapunov exponents.

Related Experiment Videos

Visualization of synchronization behavior via phase difference plots.

Main Results:

Phase synchronization is demonstrated between response oscillators driven by correlated, non-identical inputs.
The phenomenon of generalized phase synchronization is identified and described.
Lyapunov exponents and phase difference plots confirm the synchronization characteristics.

Conclusions:

Correlated, non-identical drive signals can induce phase synchronization in coupled oscillators.
Generalized phase synchronization represents a novel regime in coupled oscillator dynamics.
This finding expands the understanding of synchronization phenomena in complex systems.