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Synchronization regimes in conjugate coupled chaotic oscillators.
Rajat Karnatak1, Ram Ramaswamy, Awadhesh Prasad
1School of Physical Sciences, Jawaharlal Nehru University, New Delhi, India.
Chaos (Woodbury, N.Y.)
|October 2, 2009
Summary
Mutually coupled nonlinear oscillators exhibit unique synchronization. Identical chaotic oscillators synchronize by suppressing chaos, while mismatched ones show phase synchronization or generalized synchrony in a master-slave setup.
Area of Science:
- Nonlinear dynamics
- Chaos theory
- Complex systems
Background:
- Coupled nonlinear oscillators exhibit complex behaviors.
- Synchronization phenomena are crucial in various scientific fields.
- Dissimilar variable coupling introduces unique dynamics.
Purpose of the Study:
- To investigate synchronous behaviors in mutually coupled nonlinear oscillators with dissimilar variables.
- To analyze the impact of conjugate variable coupling on chaotic systems.
- To demonstrate synchronization regimes in coupled chaotic Rossler oscillators.
Main Methods:
- Utilizing coupled chaotic Rossler oscillators as a model system.
- Analyzing diffusive coupling through dissimilar variables.
- Observing and categorizing different synchronization states.
Main Results:
- Complete synchronization achieved by chaos suppression in identical oscillators.
- Coupling acts as an internal drive, not vanishing.
- Phase synchronization observed in mismatched oscillators.
- Generalized synchrony demonstrated in a master-slave configuration.
Conclusions:
- Dissimilar variable coupling leads to diverse synchronization regimes.
- Chaos suppression is a key mechanism for complete synchronization.
- The coupling strength and configuration significantly influence oscillator synchrony.
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