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Ragged oscillation death in coupled nonidentical oscillators
Affiliation:1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People’s Republic of China;2. Jiangxi University of Science and Technology, Ganzhou 341000, People’s Republic of China;3. Wuhan Center for Magnetic Resonance, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China;1. Department of Electrical Engineering, Guilin College of Aerospace Technology, Guilin 541002, PR China;2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541003, PR China;3. School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China;1. Department of Control Theory, Nizhni Novgorod State University, Gagarin Av. 23, 606950 Nizhni Novgorod, Russia;2. Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24-25, 14476 Potsdam, Germany;1. Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis, LR99ES21 Laboratoire de Systèmes de Communications, 1002 Tunis, Tunisia;2. CNRS, LAAS, 7 avenue du colonel Roche, F-31400 Toulouse, France;3. Univ de Toulouse, INSA, LAAS, F-31400 Toulouse, France
Abstract:In this paper, the effect of spatial frequencies distributions on the oscillation death in a ring of coupled nonidentical oscillators is studied. We find that the rearrangement of the spatial frequencies may deform the domain of oscillation death and give rise to a ragged oscillation death in some parameter spaces. The usual critical curves with shape V in the parameter space of frequency-mismatch vs coupling-strength may become the shape W (or even shape WV). This phenomenon has been not only numerically observed in coupled nonidentical nonlinear systems, but also well supported by our theoretical analysis.
Keywords:Ragged oscillation death  Coupled nonidentical oscillators  Spatial frequencies distributions
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