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Discrete Conley index and bifurcation points

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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.

discrete dynamical systemprime isolated invariant setextreme maximal isolated invariant setConley indexbifurcation point

WANG Kai-hua、FU Xin-chu

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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

国家自然科学基金Shanghai Leading Academic Discipline Project

10672146S30104

2010

10.1007/s11741-010-0667-2

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(6)
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