Abstract
In this paper, we study the relation between the first homoclinic tangency and the first bifurcation, as introduced by Palis and Tokens, for one-parameter families of planar diffeomorphisms. We introduce a general definition of the first homoclinic tangency, and show that there exists a one-parameter family, which is obtained from Smale's horseshoe diffeomorphism, such that the first homoclinic tangency of this family, occurring inside the non-wandering set, is a first bifurcation. The existence of such a family was suggested by Palis and Tokens
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