Reentrant transitions in globally coupled active rotators with multiplicative and additive noises |
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| Institution: | 1. Research Department, Electronics and Telecommunications Research Institute, P.O. Box 106, Yusong-gu, Taejon, 305-600, South Korea;2. Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;1. Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970 São Carlos, São Paulo, Brazil;2. Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, São Paulo, Brazil;3. Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany;4. Department of Physics, Humboldt University, 12489 Berlin, Germany;5. Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom;6. Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, Nizhny Novgorod 606950, Russia;1. Division of Endocrinology, Department of Pediatrics, British Columbia Children’s Hospital and University of British Columbia, 4480 Oak St., Vancouver, BC V6H 3V4, Canada;2. Biostatistics Core, Clinical Research Support Unit, BC Children’s Research Institute, 938 W 28th Ave, Vancouver, BC V5Z 4H4, Canada;3. BC Women’s Hospital and Health Centre, Women’s Health Research Institute, 4500 Oak Street, Vancouver, BC V6H 3N1, Canada;1. Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China;2. Key Laboratory of Computational Neuroscience and Brain-Inspired Intelligence, Ministry of Education, Shanghai 200433, China;3. MOE Frontiers Center for Brain Science, Fudan University, Shanghai 200433, China;4. Institute of Neuroscience, State Key Laboratory of Neuroscience, Center for Excellence in Brain Science and Intelligence Technology, Chinese Academy of Sciences, 320 Yue-Yang Road, Shanghai 200031, China;5. Institute of Mathematics and Computer Science, University of São Paulo, São Carlos 13566-590, São Paulo, Brazil;6. Shanghai Center for Mathematical Sciences and School of Mathematical Sciences, Fudan University, Shanghai 200433, China;7. Institute of Science and Technology for Brain-Inspired Intelligence and MOE Frontiers Center for Brain Science, Fudan University, Shanghai 200433, China;8. Deep Dynamics, Frankfurt School of Finance & Management, Frankfurt, Germany;9. Centre for Human and Machine Intelligence, Frankfurt School of Finance & Management, Frankfurt, Germany;1. School of Ecology and Environmental Science, Yunnan University, 650091, Kunming, China;2. Yunnan Key Laboratory of Plant Reproductive Adaptation and Evolutionary Ecology, 650091, Kunming, China;3. Department of Environmental Science, Policy, and Management, University of California, Berkeley, CA 94720-3114, USA;4. Department of Physics and Astronomy “G. Galilei”, University of Padova, 35131 Padova, Italy |
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| Abstract: | We study the nonequilibrium phenomena in globally coupled active rotators with multiplicative and additive noises. It is shown that at a critical value of the multiplicative noise intensity the system undergoes noise-induced transition from a one-cluster state to a two-cluster state. Additive noise suppresses the effect of the multiplicative noise on the system, increasing the critical value of the multiplicative noise intensity. The system shows a reentrant transition at intermediate additive noise intensity. |
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