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Persistent chimera states in nonlocally coupled phase oscillators.
1Division of Physics, Hokkaido University, Sapporo 060-0810, Japan.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2016
Summary
Chimera states, exhibiting both coherent and incoherent behavior in nonlocally coupled oscillators, were previously thought unstable without a continuous limit. This study demonstrates stable, persistent chimera states using a novel coupling function, challenging prior assumptions.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Chimera states, characterized by coexisting coherent and incoherent dynamics, are typically studied in the continuous limit of spatially distributed oscillators.
- Previous numerical simulations without this limit reported chimera states as chaotic transients that ultimately collapse into full synchrony.
Purpose of the Study:
- To investigate the stability of chimera states in systems of nonlocally coupled phase oscillators without assuming the continuous limit.
- To explore the effect of a modified coupling function on chimera state stability.
Main Methods:
- Numerical simulations of nonlocally coupled phase oscillators.
- Utilizing a coupling function distinct from those in previous studies.
Main Results:
- Chimera states were observed to be stable even without taking the continuous limit.
- The modified coupling function facilitates the emergence and persistence of chimera states.
Conclusions:
- Chimera states can be stable and persistent in discrete systems of nonlocally coupled phase oscillators.
- The choice of coupling function is critical for the stability of chimera states beyond the continuous limit.
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