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タイトル: | Classification of bifurcation diagrams in coupled phase-oscillator models with asymmetric natural frequency distributions |
著者: | Yoneda, Ryosuke Yamaguchi, Yoshiyuki Y. |
著者名の別形: | 山口, 義幸 |
キーワード: | synchronization coupled oscillators bifurcation diagrams |
発行日: | Mar-2020 |
出版者: | Institute of Physics Publishing |
誌名: | Journal of Statistical Mechanics: Theory and Experiment |
巻: | 2020 |
論文番号: | 033403 |
抄録: | Synchronization among rhythmic elements is modeled by coupled phase-oscillators, each of which has the so-called natural frequency. A symmetric natural frequency distribution induces a continuous or discontinuous synchronization transition, or oscillation, from the nonsynchronized state, for example. It has been numerically reported that asymmetry in the natural frequency distribution introduces new types of bifurcation diagrams with, in the order parameter, oscillation or a discontinuous jump which emerges from a partially synchronized state. We propose a theoretical classification method for five types of bifurcation diagrams including the new ones, paying attention to the generality of the theory. The oscillation and the jump from partially synchronized states are discussed, respectively, by the linear analysis around the nonsynchronized state and by extending the amplitude equation up to the third leading term. The theoretical classification is examined through comparison with the numerically obtained classification. |
著作権等: | This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1742-5468/ab6f5f. The full-text file will be made open to the public on 11 March 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/253544 |
DOI(出版社版): | 10.1088/1742-5468/ab6f5f |
出現コレクション: | 学術雑誌掲載論文等 |
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