Control and synchronization of second Julia sets |
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| Authors: | Zhang Yong-Ping Sun Wei-Hua and Liu Chang-An |
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| Institution: | 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 map
system with two complex variables is introduced in this paper. With
this method, the optimal control function method is introduced to
this system and the control and synchronization of its Julia sets
are achieved. Control and synchronization of generalized Julia sets
are also achieved with this optimal control method. The simulations
illustrate the efficacy of this method. |
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| Keywords: | Henon map Julia set optimal control synchronization |
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