Tri-stability in a Pendula Chain

来源 :International Conference Nonlinear Waves-Theory and Applicat | 被引量 : 0次 | 上传用户:jsdhxmb
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  In this poster different Stationary states of boundary driven coupled pendula chain has been investigated experimentally, numerically and analytically.The analytical treatment is based on the boundary driven sine-Gordon equation and it is found that for the same driving force three completely different regimes coexist:Besides two regimes discovered earlier [1-4] (first one is the small oscillations with exponentially decaying amplitude and the second one is a breather like solution which has an oscillation amplitude maximum at the end of the chain) there exists a third regime corresponding to the kink motion in the restricted geometry of the chain.The analytical solutions are compared with the numerical simulations on the associated Frenkel-Kontorova model and finally confirmed by direct laboratory experiments.It is proposed to extend these studies to the realistic physical systems which are governed by the same sine-Gordon equation.
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