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Driving-induced bistability in coupled chaotic attractors.
Manish Agrawal1, Awadhesh Prasad, Ram Ramaswamy
1Department of Physics, Sri Aurobindo College, University of Delhi, New Delhi 110017, India.
Summary
Symmetry interactions in drive-response systems can lead to multiple stable states after synchronization. Phase synchrony is observed in these coexisting attractors, even with noise.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Complex Systems
Background:
- Drive-response systems exhibit synchronization phenomena.
- Invariant symmetries play a crucial role in system dynamics.
- Understanding emergent behaviors in coupled systems is essential.
Purpose of the Study:
- To investigate the impact of symmetry-preserving and -breaking interactions on drive-response systems.
- To explore the existence of multiple stable attractors post-synchronization.
- To analyze phase synchrony within coexisting attractors.
Main Methods:
- Theoretical analysis of drive-response dynamics.
- Numerical simulations to observe system behavior.
- Investigation of symmetry properties and their influence.
- Robustness testing against external noise.
Main Results:
- Generalized synchronization can lead to multiple stable attractors.
- Phase synchrony is present in these coexisting attractors.
- The observed phenomena are robust to the presence of external noise.
Conclusions:
- Symmetry-breaking interactions can create complex dynamics with multiple stable states.
- Phase synchrony is a persistent feature even in the presence of noise and multiple attractors.
- This study provides insights into the rich dynamics of synchronized systems.
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