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Breathing chimera states in nonlocally coupled type-I excitable phase oscillators
Yang Li1, Haihong Li1, Jinfeng Liang1
1Beijing University of Posts and Telecommunications, School of Science, Beijing 100876, People's Republic of China.
Abstract:
We explore chimera states in a ring of nonlocally coupled type-I excitable phase oscillators, with each isolated oscillator being restricted to a homogeneous equilibrium state. Our study identifies the presence of breathing chimera states, characterized by their oscillatory dynamics and periodic fluctuations in the global order parameter. Beyond the breathing chimera states with a single coherent cluster, we find the 2n-cluster breathing chimera states, where 2n represents an even number of coherent clusters. These states exhibit the varying phase difference between adjacent clusters and a consistent phase among clusters separated by one intermediate cluster. The number of clusters is found to be modulated by the relative coupling radius. These dynamics for the finite number of oscillators are well confirmed by the Ott-Antonsen ansatz.
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