| Hyperchaos behaviors and chaos synchronization of two unidirectional coupled simplified Lorenz systems简 |
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| 引用本文： | 孙克辉,汪艳,王艳丽. Hyperchaos behaviors and chaos synchronization of two unidirectional coupled simplified Lorenz systems简[J]. 中南工业大学学报(英文版), 2014, 0(3): 948-955 |
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| 作者姓名： | 孙克辉 汪艳 王艳丽 |
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| 基金项目： | Projects（61073187, 61161006） supported by the National Nature Science Foundation of China; Project supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, China |
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| 摘 要： | To design a hyperchaotic generator and apply chaos into secure communication, a linear unidirectional coupling control is applied to two identical simplified Lorenz systems. The dynamical evolution process of the coupled system is investigated with variations of the system parameter and coupling coefficients. Particularly, the influence of coupling strength on dynamics of the coupled system is analyzed in detail. The range of the coupling strength in which the coupled system can generate hyperchaos or realize synchronization is determined, including phase portraits, Lyapunov exponents, and Poincare section. And the critical value of the system parameter between hyperchaos and synchronization is also found with fixed coupled strength. In addition, abundant dynamical behaviors such as four-wing hyperchaotic, two-wing chaotic, single-wing coexisting attractors and periodic orbits are observed and chaos synchronization error curves are also drawn by varying system parameter c. Numerical simulations are implemented to verify the results of these investigations.
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| 关 键 词： | Lorenz系统 超混沌行为 混沌同步 单向耦合 Lyapunov 系统动力学 耦合强度 耦合系统 |
Hyperchaos behaviors and chaos synchronization of two unidirectional coupled simplified Lorenz systems |
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| SkIN Ke-hui,WANG Yan,WANG Yan-li. Hyperchaos behaviors and chaos synchronization of two unidirectional coupled simplified Lorenz systems[J]. Journal of Central South University of Technology, 2014, 0(3): 948-955 |
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| Authors: | SkIN Ke-hui WANG Yan WANG Yan-li |
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| Affiliation: | [1]School of Physics and Electronics, Central South University, Changsha 410083, China [2]School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China |
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| Abstract: | hyperchaos chaos synchronization coupling control simplified Lorenz system |
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| Keywords: | hyperchaos chaos synchronization coupling control simplified Lorenz system |
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