Dynamics of spiral waves driven by a dichotomous periodic signal |
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Authors: | Guoyong Yuan Yaping Liu Aiguo Xu Guangrui Wang |
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Institution: | 1. Department of Physics, Hebei Normal University, Shijiazhuang, 050024, China 2. Hebei Advanced Thin Films Laboratory, Shijiazhuang, 050024, China 3. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, China
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Abstract: | We study the effects of a dichotomous periodic force on meandering and rigidly rotating spiral waves. For a meandering state, the periodic forcing induces more modulating frequencies according to the rules of frequency-locked relations and linear combinations. It can also generate some unique closed tip orbits. On the modulating period T-axis, there exist all kinds of resonant entrainment bands. Arnold tongues exist in the period-amplitude space. The width of entrainment bands is affected by the symmetry of positive and negative parts in each signal unit. In addition, appropriate choices of T-value can be used to eliminate spiral waves. For a rigidly rotating state, the periodic forcing can induce a transition toward meandering spiral waves via generating a transitive bidirectional spiral wave. It is very interesting that, after the transition, the meandering spiral wave has the same primary rotating period as the free meandering states. |
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