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CONTROLLING HYPERCHAOS IN PLANAR SYSTEMS BY ADJUSTING PARAMETERS

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【作者】 杨凌刘曾荣茅坚民

【Author】 YANG Ling 1,2, LIU Zeng_rong 2, MAO Jian_min 3 (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) (Contributed by LIU Zeng_rong)

【机构】 Department of Mathematics, Suzhou University,Department of Mathematics, Shanghai University,Department of Mathematics, Hong Kong University of Science and Technology Suzhou 215006, P.R.China,Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China,Shanghai 200436, P.R.China,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.

【基金】 theNaturalScienceFoundationofJiangsuProvince ,China (BK2 0 0 2 0 3 7)
  • 【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2003年04期
  • 【分类号】O415.5
  • 【下载频次】21
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