Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators
arXiv:1501.07720 · doi:10.1063/1.4921297
Abstract
We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order parameter, we can observe chimera states also for systems with a small number of oscillators. Numerical simulations show a huge variety of regular and irregular patterns composed of localized phase slipping events of single oscillators. Using methods of classical finite dimensional chaos and bifurcation theory, we can identify the emergence of chaotic chimera states as a result of transitions to chaos via period doubling cascades, torus breakup, and intermittency. We can explain the observed phenomena by a mechanism of self-modulated excitability in a discrete excitable medium.
postprint, as accepted in Chaos, 10 pages, 7 figures
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Cited by in corpus (7)
- Chimera states in brain networks: empirical neural vs. modular fractal connectivity
- Chimera states in networks of phase oscillators: the case of two small populations
- A Tweezer for Chimeras in Small Networks
- Unbalanced clustering and solitary states in coupled excitable systems
- Chimera states in small disordered optomechanical arrays
- Patched patterns and emergence of chaotic interfaces in arrays of nonlocally coupled excitable systems
- Bumps, chimera states, and Turing patterns in systems of coupled active rotators