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When nonlocal coupling between oscillators becomes stronger: patched synchrony or multichimera states
Iryna Omelchenko1, Oleh E Omel'chenko, Philipp Hövel
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
Physical Review Letters
|June 18, 2013
Summary
Researchers discovered multi-chimera states in coupled oscillator systems. These novel patterns feature synchronized patches within incoherent dynamics, emerging beyond weak coupling limits in limit-cycle oscillator models.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Network science
Background:
- Systems of nonlocally coupled oscillators can display complex spatiotemporal patterns known as chimera states.
- These states are characterized by the coexistence of spatially coherent (synchronized) and incoherent dynamics within the system.
- Classical chimera states are typically studied within the weak coupling regime of phase oscillator models.
Purpose of the Study:
- To report a novel form of chimera states, termed multi-chimera states.
- To investigate the emergence of these states in a widely used limit-cycle oscillator model.
- To explore the influence of coupling strength and range on the formation of multi-chimera states.
Main Methods:
- Utilizing a widely adopted limit-cycle oscillator model.
- Exploring dynamics beyond the weak coupling approximation.
- Analyzing the transition from classical chimera states to multi-chimera states.
Main Results:
- Discovery of multi-chimera states where synchronized patches appear within the incoherent domain.
- Observation of different multi-chimera states depending on coupling strength and range.
- Identification of strong coupling interaction as the cause for additional spatial modulation.
Conclusions:
- Multi-chimera states represent a novel complex spatiotemporal pattern in nonlocally coupled oscillator systems.
- These states arise from strong coupling interactions, extending beyond the scope of traditional phase oscillator models.
- The findings offer new insights into the rich dynamics of coupled oscillator networks.
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