Multistable Attractors in a Network of Phase Oscillators with Three-Body Interactions

Takuma Tanaka and Toshio Aoyagi
Phys. Rev. Lett. 106, 224101 – Published 31 May 2011

Abstract

Three-body interactions have been found in physics, biology, and sociology. To investigate their effect on dynamical systems, as a first step, we study numerically and theoretically a system of phase oscillators with a three-body interaction. As a result, an infinite number of multistable synchronized states appear above a critical coupling strength, while a stable incoherent state always exists for any coupling strength. Owing to the infinite multistability, the degree of synchrony in an asymptotic state can vary continuously within some range depending on the initial phase pattern.

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  • Received 13 November 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.224101

© 2011 American Physical Society

Authors & Affiliations

Takuma Tanaka*

  • Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Japan

Toshio Aoyagi

  • Graduate School of Informatics, Kyoto University, Japan and JST, CREST, Japan

  • *tanaka.takuma@gmail.com

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Issue

Vol. 106, Iss. 22 — 3 June 2011

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