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arXiv · 1703.00136

Explosive oscillation death in coupled Stuart-Landau oscillators

Hongjie Bi·Xin Hu·Xiyun Zhang·Yong Zou·Zonghua Liu·Shuguang Guan
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Abstract

Recently, the explosive phase transitions, such as explosive percolation and explosive synchronization, have attracted extensive research interest. So far, most existing works investigate Kuramoto-type models, where only phase variables are involved. Here, we report the occurrence of explosive oscillation quenching in a system of coupled Stuart-Landau oscillators that incorporates both phase and amplitude dynamics. We observe three typical scenarios with distinct microscopic mechanism of occurrence, i.e., ordinary, hierarchical, and cluster explosive oscillation death, corresponding to different frequency distributions of oscillators, respectively. We carry out theoretical analyses and obtain the backward transition point, which is shown to be independent of the specific frequency distributions. Numerical results are consistent with the theoretical prediction.

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Hongjie Bi, Xin Hu, Xiyun Zhang, Yong Zou, Zonghua Liu, Shuguang Guan. 2017-03-01. Explosive oscillation death in coupled Stuart-Landau oscillators. https://doi.org/10.1209/0295-5075%2F108%2F50003

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