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Emergence of second coherent regions for breathing chimera states
| 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 |
| URI: | http://hdl.handle.net/2115/78765 |
| 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)
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Submitter: 奥田 浩司
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