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Phase signal coupling induced n:m phase synchronization in drive-response oscillators
Summary
This study explores phase synchronization in coupled Rössler oscillators. Strong coupling enables n:m phase synchronization, sometimes causing amplitude reduction in the response signal.
Area of Science:
- Nonlinear Dynamics
- Complex Systems
- Chaos Theory
Background:
- Phase synchronization is a key phenomenon in coupled nonlinear oscillators.
- Rössler oscillators are a well-studied model for chaotic dynamics.
- Understanding synchronization transitions is crucial for complex systems analysis.
Purpose of the Study:
- To investigate phase synchronization between two identical Rössler oscillators.
- To analyze the impact of coupling strength on synchronization states.
- To characterize the phenomenon of amplitude reduction during synchronization.
Main Methods:
- Utilizing a drive-response configuration with a single phase signal for coupling.
- Analyzing the distribution of time intervals between phase jumps.
- Varying coupling strength to observe transitions in synchronization and amplitude.
Main Results:
- Observed sharp peaks in the time interval distribution before phase synchronization.
- Achieved n:m phase synchronization with strong phase signal coupling.
- Identified amplitude reduction, where mean amplitude decreases while mean rotation speed remains constant, for certain coupling strengths in n!=m states.
Conclusions:
- Strong coupling is essential for achieving n:m phase synchronization in this system.
- Amplitude reduction is a distinct phenomenon occurring during specific phase synchronization states.
- The interplay between coupling strength, phase locking, and amplitude dynamics is complex.