Control and synchronization of second Julia sets |
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| Authors: | Zhang Yong-Ping Sun Wei-Hua Liu Chang-An |
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| Affiliation: | School of Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, China; School of Control Science and Engineering, Shandong University, Jinan 250061, China |
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| Abstract: | A visualization of Julia sets of the complex Henon mapsystem with two complex variables is introduced in this paper. Withthis method, the optimal control function method is introduced tothis system and the control and synchronization of its Julia setsare achieved. Control and synchronization of generalized Julia setsare also achieved with this optimal control method. The simulationsillustrate the efficacy of this method. |
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| Keywords: | Henon map Julia set optimal control synchronization |
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