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Published on: June 25, 2017
Globally clustered chimera states in delay-coupled populations
Jane H Sheeba1, V K Chandrasekar, M Lakshmanan
1Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli, 620024 Tamilnadu, India.
Summary
Globally clustered chimera states in coupled oscillators exhibit periodic or aperiodic breathing and instability due to coupling delay. This delay also causes frequency suppression in desynchronized oscillator groups.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background:
- Chimera states, a unique phenomenon in coupled oscillator systems, involve coexisting synchronized and desynchronized subpopulations.
- Understanding the influence of coupling delay on these states is crucial for predicting system behavior.
Purpose of the Study:
- To identify and characterize globally clustered chimera states in delay-coupled oscillator populations.
- To investigate the impact of coupling delay on the dynamics, stability, and frequency of these states.
Main Methods:
- Numerical simulations of delay-coupled oscillator networks.
- Theoretical analysis to explain observed phenomena.
Main Results:
- Existence of globally clustered chimera states confirmed.
- These states exhibit both periodic and aperiodic breathing dynamics.
- Instability of chimera states is dependent on the coupling delay value.
- Coupling delay induces frequency suppression in the desynchronized oscillator group.
Conclusions:
- Coupling delay plays a critical role in the emergence, dynamics, and stability of globally clustered chimera states.
- Observed phenomena, including breathing and frequency suppression, have potential applications in various fields.
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