Dynamics of spiral waves driven by a rotating electric field |
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| Affiliation: | 1. Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China;2. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China;3. Department of Physics, Zhejiang University, Hangzhou 310027, China;1. Department of Mechanical Engineering, Temple University, Philadelphia, PA, USA;2. Space Research Institute, Moscow, Russia;1. Department of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907, USA;2. Unit for BMI, North-West University, Private Bag X6001-209, Potchefstroom 2520, South Africa;3. Department of Mathematics, VU University Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands;1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, PR China;2. College of Sciences, North China University of Technology, Beijing 100144, PR China;3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China |
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| Abstract: | We study the behavior of spiral wave under the driving of a rotating electric field. The rotating electric field can drive a spiral wave to be synchronous, depending on four factors: its frequency and amplitude, chirality, and polarized modes. Rotation-synchronization characterized by the rotating direction is focused on. We discuss the behavior of synchronization, such as the dependence of angle-differences between the spiral tip and the electric field on ratio of frequency, the influences of different polarized modes of the electric field, the radius of synchronous spiral wave, and so on. A circularly polarized electric fields (CPEF) can suppress meandering spiral to rigid one and prevent breakup of spiral in medium with low excitability. The phase diagram describing the controllable region in excitability-period plane is presented. The influences of polarized modes of electric field on minimum excitability of medium are also studied. |
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| Keywords: | Spiral waves Polarized modes Rotation-synchronization Meandering Breakup |
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