Effects of Delayed Feedback on Kuramoto Transition | Zendy

Denis S. Goldobin | Zendy; Arkady Pikovsky | Zendy

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Effects of Delayed Feedback on Kuramoto Transition

Author(s) -

Denis S. Goldobin,

Arkady Pikovsky

Publication year - 2006

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.161.43

Subject(s) - nonlinear system , transition point , kuramoto model , coupling (piping) , transition (genetics) , amplitude , control theory (sociology) , physics , statistical physics , point (geometry) , mathematics , synchronization (alternating current) , topology (electrical circuits) , quantum mechanics , computer science , mechanics , materials science , chemistry , control (management) , geometry , combinatorics , biochemistry , artificial intelligence , metallurgy , gene

We develop a weakly nonlinear theory of the Kuramoto transition in an ensemble of globally coupled oscillators in presence of additional time-delayed coupling terms. We show that a linear delayed feedback not only controls the transition point, but effectively changes the nonlinear terms near the transition. A purely nonlinear delayed coupling does not effect the transition point, but can reduce or enhance the amplitude of collective oscillations.

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