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Discrete Conley index and bifurcation points. (English) Zbl 1240.37015

Summary: 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 similar bifurcation points is given.

MSC:

37B30 Index theory for dynamical systems, Morse-Conley indices
37G99 Local and nonlocal bifurcation theory for dynamical systems
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References:

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