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Emergence of second coherent regions for breathing chimera states

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Title: Emergence of second coherent regions for breathing chimera states
Authors: Suda, Yusuke Browse this author
Okuda, Koji Browse this author
Issue Date: 2-Jun-2020
Publisher: American Physical Society (APS)
Journal Title: Physical Review E
Volume: 101
Issue: 6
Start Page: 062203
Publisher DOI: 10.1103/PhysRevE.101.062203
Abstract: Chimera states in one-dimensional nonlocally coupled phase oscillators are mostly assumed to be stationary, but breathing chimeras can occasionally appear, branching from the stationary chimeras via Hopf bifurcation. In this paper, we demonstrate two types of breathing chimeras: The type I breathing chimera looks the same as the stationary chimera at a glance, while the type II consists of multiple coherent regions with different average frequencies. Moreover, it is shown that the type I changes to the type II by increasing the breathing amplitude. Furthermore, we develop a self-consistent analysis of the local order parameter, which can be applied to breathing chimeras, and numerically demonstrate this analysis in the present system.
Rights: Copyright 2020 by The American Physical Society.
Type: article
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 奥田 浩司

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