2024-03-28T19:06:32Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00030064
2023-01-16T04:29:11Z
1939:1940:1941
Diversity of dynamical behaviors due to initial conditions: Extension of the Ott-Antonsen ansatz for identical Kuramoto-Sakaguchi phase oscillators
Ichiki, Akihisa
99138
Okumura, Keiji
99139
The Ott-Antonsen ansatz is a powerful tool to extract the behaviors of coupled phase oscillators, but it imposes a strong restriction on the initial condition. Herein, an extension of the Ott-Antonsen ansatz is proposed to relax the restriction, enabling the systematic approximation of the behavior of a globally coupled phase oscillator system with an arbitrary initial condition. The proposed method is validated on the Kuramoto-Sakaguchi model of identical phase oscillators. The method yields cluster and chimera-like solutions that are not obtained by the conventional ansatz.
journal article
American Physical Society
2020-02
application/pdf
Physical Review E
2
101
022211
2470-0045
2470-0053
https://nagoya.repo.nii.ac.jp/record/30064/files/PhysRevE101_022211.pdf
eng
https://doi.org/10.1103/PhysRevE.101.022211
© 2020 American Physical Society