Crises in Chaotic Pendulum with Fuzzy Uncertainty

来源 :The 5th International Conference on Nonlinear Science and Co | 被引量 : 0次 | 上传用户:catva
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  Crises in chaotic pendulum in the presence of fuzzy uncertainty are observed by means of the fuzzy generalized cell mapping method.A fuzzy chaotic attractor is characterized by its topology and membership distribution function.A fuzzy crisis implies a simultaneous sudden change both in the topology of a fuzzy chaotic attractor and in its membership distribution.It happens when a fuzzy chaotic attractor collides with a regular or a chaotic saddle.Two types of fuzzy crises are specified,namely,boundary and interior crises.In the case of a fuzzy boundary crisis,a fuzzy chaotic attractor disappears after a collision with a regular saddle on the basin boundary.In the case of a fuzzy interior crisis,a fuzzy chaotic attractor suddenly changes in its size after a collision with a chaotic saddle in the basin interior.
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