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Controlling hyperchaos in planar systems by adjusting parameters |
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| Authors: | Yang Ling Liu Zeng-rong Mao Jian-min |
| Institution: | 1. Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China;2. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China;3. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, P. R. China |
| Abstract: | For the two_parameter family of planar mapping, a method to stabilize an unstable fixed point without stable manifold embedding in hyperchaos is introduced. It works by adjusting the two parameters in each iteration of the map. The explicit expressions for the parameter adjustments are derived, and strict proof of convergence for method is given. |
| Keywords: | control of chaos hyperchaotic orbits parameter adjustment |
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