Critical Behavior at the Onset of Multichimera States in a Coupled-Oscillator Array

Katsuya Kawase; Nariya Uchida

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arXiv · 1907.07285

Critical Behavior at the Onset of Multichimera States in a Coupled-Oscillator Array

Katsuya Kawase·Nariya Uchida

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Abstract

We numerically investigate the onset of multi-chimera states in a linear array of coupled oscillators. As the phase delay $α$ is increased, they exhibit a continuous transition from the globally synchronized state to the multichimera state consisting of asynchronous and synchronous domains. Large-scale simulations show that the fraction of asynchronous sites $ρ_a$ obeys the power law $ρ_a \sim (α- α_c)^{β_a}$, and that the spatio-temporal gaps between asynchronous sites show power-law distributions at the critical point. The critical exponents are distinct from those of the (1+1)-dimensional directed percolation and other absorbing-state phase transitions, indicating that this transition belongs to a new class of non-equilibrium critical phenomena. Crucial roles are played by traveling waves that rejuvenate asynchronous clusters by mediating non-local interactions between them.

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BibTeX RIS

Katsuya Kawase, Nariya Uchida. 2019-07-16. Critical Behavior at the Onset of Multichimera States in a Coupled-Oscillator Array. https://arxiv.org/abs/1907.07285

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