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Discrete Conley index and bifurcation points |
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| Authors: | WANG Kai-hua FU Xin-chu |
| Institution: | 1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China;College of Mathematics and Statistics Hainan Normal University,Haikou 571158,P.R.China 2. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
| Abstract: | In this paper, a sufficient condition for the existence of bifurcation points for discrete dynamical systems is presented. The relation between two families of systems is further discussed, and a sufficient condition for determining whether they may have the similar bifurcation points is given. |
| Keywords: | discrete dynamical system prime isolated invariant set extreme maximal isolated invariant set Conley index bifurcation point |
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