Entrainment among coupled limit cycle oscillators with frustration |
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| Affiliation: | Faculty of Pharmaceutical Sciences, University of Tokhyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan;Canon Inc. R & D Headquarters Canon Research Center, 5-1, Morinosato-Wakamiya, Atsugi-shi Kanagawa, 243-01, Japan;Faculty of Pharmaceutical Sciences, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan;Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, USA |
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| Abstract: | A model system composed of three limit cycle oscillators is studied with emphasis on its dynamics of collective behavior. The interaction contains frustration as the competition among the individually phase-pulling actions. Computer experiments and mathematical analyses show that the frustration causes transition from a monostable entrained state to a bistable one. Focusing on hysteresis in the bistable region, a variety of dynamical modes induced by the frustration is elucidated. The condition of the frustration is discussed in the generalized model. |
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