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Pinning synchronization with low energy cost
Affiliation:1. School of Computer & Communication, Lanzhou University of Technology, Lanzhou 730050, China;2. Department of Automation, Tsinghua University, Beijing 100084, China;1. USP – Univ São Paulo, Departamento de Física, Rua do Matão, Cidade Universitária, Travessa R 187, 05508-090 São Paulo, SP, Brazil;2. School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom;3. UNESP – Univ Estadual Paulista, Departamento de Estatística, Matemática Aplicada e Computação, Av. 24A 1515, Bela Vista, 13506-900 Rio Claro, SP, Brazil;4. UNESP – Univ Estadual Paulista, Departamento de Física, Av. 24A 1515, Bela Vista, 13506-900 Rio Claro, SP, Brazil;5. The Abdus Salam – ICTP, Strada Costiera, 11, 34151 Trieste, Italy;1. Department of Mechanics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China;2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China
Abstract:The pinning synchronization on complex networks with low energy cost was investigated. Two basic problems were considered, in this paper. One is how to achieve synchronization on complex network with weak coupling. Another is how to reduce the energy cost in the process of achieving and keeping synchronization. On the other hand, for a good pinning strategy, the synchronizing speed should also be ensured. In this paper, a switching pinning strategy was proposed to enhance the synchronizing speed. And from the point of view of energy saving, some selected links were strengthened. Theoretical analysis and simulations on different complex networks indicate that the proposed pinning strategy is effective. Compare with conventional existing method, the superiority of our method is significant.
Keywords:Pinning synchronization  Switching  Low energy cost  Complex network
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