V. S. Gonchenko

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Abstract. We study two-parameter bifurcation diagrams of the generalized Hénon map (GHM), that is known to describe dynamics of iterated maps near homoclinic and heteroclinic tangencies. We prove the nondegeneracy of codim 2 bifurcations of fixed points of GHM analytically and compute its various global and local bifurcation curves numerically. Special(More)
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