Improved generalized cell mapping for global analysis of dynamical systems |
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Authors: | ZOU HaiLin & XU JianXue Institute of Nonlinear Dynamics School of Aerospace Xi'an Jiaotong University Xi'an China |
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Affiliation: | ZOU HaiLin & XU JianXue Institute of Nonlinear Dynamics,School of Aerospace,Xi'an Jiaotong University,Xi'an 710049,China |
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Abstract: | Three main parts of generalized cell mapping are improved for global analysis.A simple method,which is not based on the theory of digraphs,is presented to locate complete self-cycling sets that correspond to attractors and unstable invariant sets involving saddle,unstable periodic orbit and chaotic saddle.Refinement for complete self-cycling sets is developed to locate attractors and unstable invariant sets with high degree of accuracy,which can start with a coarse cell structure.A nonuniformly interior-and... |
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Keywords: | global analysis generalized cell mapping invariant set chaotic saddle crisis |
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