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Spiral wave chimeras in nonlocally coupled bicomponent oscillators
Yang Li1, Haihong Li1, Yirui Chen1
1School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China.
Physical Review. E
|January 20, 2024
Summary
Two spiral wave chimeras can coexist in networks of nonidentical oscillators. The study reveals synchronous and asynchronous regimes, with transitions depending on oscillator type, impacting chimera dynamics and core structures.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Chimera states, a hallmark of non-synchronous behavior in coupled oscillator networks, have been extensively studied.
- Previous research confirmed chimeras in 1D nonlocally coupled systems with parameter heterogeneity.
Purpose of the Study:
- To investigate the emergence and characteristics of spiral wave chimeras in 2D nonlocally coupled bicomponent oscillator networks.
- To analyze the impact of parameter heterogeneity on the coexistence and dynamics of multiple spiral wave chimeras.
Main Methods:
- Numerical simulations using two-dimensional networks of nonlocally coupled bicomponent oscillators.
- Employing phase oscillators and FitzHugh-Nagumo oscillators as model systems.
- Analyzing oscillator grouping, parameter heterogeneity, and emergent chimera states.
Main Results:
- Demonstrated coexistence of two distinct spiral wave chimeras in randomly grouped oscillators.
- Identified three heterogeneity regimes: synchronous, asynchronous, and transition.
- Observed synchronized or desynchronized dynamics and core structures based on heterogeneity levels.
- Found that the transition between regimes is oscillator-dependent (discontinuous for phase, continuous for FitzHugh-Nagumo).
Conclusions:
- Two-dimensional nonlocally coupled bicomponent oscillators can support coexisting spiral wave chimeras.
- Parameter heterogeneity dictates the synchronous or asynchronous nature of these coexisting chimeras.
- The transition dynamics are sensitive to the specific properties of the individual component oscillators.
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