| MODEL SHIFT AND STRANGE ATTRACTOR ON MBIUS STRIP |
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| 摘 要： | A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors’ structure and dynamical behaviour were described.
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| 关 键 词： | model shift mapping Mbius strip chaos strange attractor |
| 收稿时间： | 2002-01-17 |
Model shift and strange attractor on Möbius strip |
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| Chen Fang-yue,Chen Feng-juan. Model shift and strange attractor on Möbius strip[J]. Applied Mathematics and Mechanics(English Edition), 2003, 24(7): 845-852. DOI: 10.1007/BF02437817 |
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| Authors: | Chen Fang-yue Chen Feng-juan |
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| Affiliation: | (1) Department of Mathematics, Shanghai University, 200436 Shanghai, P.R. China;(2) Department of Mathematics, Zhejiang Normal University, 321004 Jinhua, Zhejiang, P.R. China |
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| Abstract: | A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors’ structure and dynamical behaviour were described. |
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| Keywords: | model shift mapping Mbius strip chaos strange attractor |
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