|
Hokkaido University Collection of Scholarly and Academic Papers >
Theses >
博士 （理学） >
Persistency and Breathing Behavior of Chimera States in Nonlocally Coupled Phase Oscillators
|
Files in This Item:
|
|
|
Related Items in HUSCAP:
|
| Title: | Persistency and Breathing Behavior of Chimera States in Nonlocally Coupled Phase Oscillators |
| Other Titles: | 非局所結合位相振動子系におけるキメラ状態の持続性と振動挙動 |
| Authors: | 須田, 裕介 Browse this author |
| Issue Date: | 25-Mar-2019 |
| Publisher: | Hokkaido University |
| Abstract: | We study chimera states in the one-dimensional array of nonlocally coupled phase oscillators. The chimera state is a stable state characterized by the coexistence of coherent regions of synchronized oscillators and incoherent regions of drifting oscillators. Chimera states are surely stable in the continuum limit with infinitely many oscillators. However, it is reported that in finitely discretized systems, chimera states are chaotic transient and finally collapse into the completely synchronous solution. In this thesis, we numerically study chimera states by using the coupling function different from the previous studies and show that chimera states can be stable even in the system composed of a small number of oscillators. In most previous works, chimera states in the continuum limit are as- sumed to be stationary states. However, a few studies report the existence of breathing (oscillating) chimera states. In this thesis, we focus on mul- tichimera states with two coherent and incoherent regions and numerically demonstrate that there can appear breathing multichimeras whose global or- der parameter oscillates temporally. Then, we show that the system exhibits a Hopf bifurcation from a stationary multichimera to a breathing one. We also confirm that there appear another type of the breathing multi- chimera, which has the second coherent regions with the different average frequency in addition to the original coherent regions. Moreover, we show that the second coherent regions appear by increasing the amplitude of the breathing. Furthermore, we derive a new self-consistency equation extended for breathing chimeras and numerically solve it. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第13559号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 教授 根本 幸児, 教授 小田 研, 准教授 北 孝文 |
| Degree Affiliation: | 理学院（物性物理科学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/76835 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
|
|
