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Synchronization of pendula rotating in different directions
Authors:Krzysztof Czolczynski  Przemysław Perlikowski  Andrzej Stefanski  Tomasz Kapitaniak
Affiliation:1. Department of Physics, Central University of Rajasthan, Ajmer 305 817, Rajasthan, India;2. Department of Physics, Anjalai Ammal-Engineering College, Koyilvenni 614 403, Tamil Nadu, India;3. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli 620 024, Tamil Nadu, India;1. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland;2. Institute of Mathematics, Lodz University of Technology, Wolczanska 215, 90-924 Lodz, Poland;1. Institute of Physics, Humboldt University Berlin, D-10099 Berlin, Germany;2. Department of Systemic Cell Biology, Max Planck Institute for Molecular Physiology, Otto-Hahn-Str. 11, 44227, Dortmund, Germany;3. Department of Theoretical Physics, Lebedev Physical Inst., Leninskii 53, Moscow, Russia;4. Potsdam Institute for Climate Impact Research, D-14412 Potsdam, Germany;1. MTA-BME Research Group on Dynamics of Machines and Vehicles, M?egyetem rkp. 5, 1111 Budapest, Hungary;2. Department of Applied Mechanics, Budapest University of Technology and Economics, M?egyetem rkp. 5, 1111 Budapest, Hungary;1. Division of Dynamics, Lodz University of Technology, 1/15 Stefanowskiego St., Poland;2. Institute of Mathematics, Lodz University of Technology, 215 Wolczanska St., Poland
Abstract:We study the synchronization of a number of pendula mounted on a horizontal beam which can roll on the parallel surface. Under the driving moment, the pendula rotate in different directions: one of them rotates counterclockwise, the rest rotate clockwise. It has been shown that after a transient different types of phase synchronization between pendula can be observed, despite opposite directions of rotations.
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