Fractal structures in a generalized square map with exponential terms |
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| Authors: | Li Xian-Feng a Chu Yan-Dong a and Zhang Hui |
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| Institution: | a)b) a) School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China b) School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China |
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| Abstract: | Fractal structures in a generalized squared map with exponential terms are expanded in this paper.We describe how complex behaviors can arise as the parameters change.The appearances of different kinds of fractal structures,in both the attractive and the divergent regions,and most interestingly,on small regular islands embedded in the chaotic region,are manifested to have a variety of extraordinary geometries in the parameter plane. |
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| Keywords: | discrete map exponential term parameter plane Lyapunov fractal |
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