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Synchronization configurations of two coupled double pendula
Institution:1. School of Electronics & Information, Nantong University, Nantong 226019, PR China;2. College of Information Science and Technology, Donghua University, Shanghai 201620, PR China;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;1. Area Academica de Ingenieria, Universidad Autonoma del Estado de Hidalgo, Carr. Pachuca Tulancingo Km. 4.5, Pachuca Hidalgo 42184, Mexico;2. Departamento de Ciencias e Ingenieria de la Computacion, Escuela Superior de Computo, Instituto Politecnico Nacional, Av. Miguel Othon de Mendizabal s/n., Mexico D.F. 07738, Mexico;3. Unconventional Computing Center, Bristol Institute of Technology, University of the West of England, Bristol BS16 1QY, United Kingdom
Abstract:We consider the synchronization of two self-excited double pendula hanging from a horizontal beam which can roll on the parallel surface. We show that such pendula can obtain four different robust synchronous configurations. Our approximate analytical analysis allows to derive the synchronization conditions and explains the observed types of synchronizations. We consider the energy balance in the system and show how the energy is transferred between the pendula via the oscillating beam allowing the pendula’ synchronization.
Keywords:Double pendulum  Synchronization  Energy balance
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