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Loss of lag synchronization in coupled chaotic systems
O V Sosnovtseva1, A G Balanov, T E Vadivasova
1Physics Department, Saratov State University, Astrakhanskaya Street 83, Saratov 410026, Russia.
Summary
This study explores lag synchronization in coupled chaotic Rössler systems, revealing how transitions between synchronization states relate to complex basin structures and unstable periodic orbits.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Complex Systems
Background:
- Lag synchronization involves correlated amplitudes with a time delay between non-identical chaotic oscillators.
- Understanding transitions between different synchronization states is crucial in complex systems.
Purpose of the Study:
- Investigate transitions to and between in-phase and out-of-phase attractors.
- Analyze the loss of lag synchronization in coupled Rössler systems.
- Examine the role of frequency mismatch and basin structures.
Main Methods:
- Utilized coupled Rössler systems to model chaotic oscillators.
- Studied transitions between in-phase and out-of-phase synchronization attractors.
- Analyzed the influence of frequency mismatch on synchronization dynamics.
Main Results:
- Identified processes leading to the loss of lag synchronization.
- Observed a peculiar basin structure associated with transitions.
- Found that instability of embedded periodic orbits contributes to synchronization loss.
Conclusions:
- Lag synchronization loss is linked to complex basin structures and transverse instability of periodic orbits.
- Frequency mismatch plays a significant role in these transitions.
- The study provides insights into the intricate dynamics of coupled chaotic systems.