This article is cited in 7 papers

On Bifurcations of Two-Dimensional Diffeomorphisms with a Homoclinic Tangency of Manifolds of a “Neutral” Saddle

V. S. Gonchenko

Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod

Abstract: Bifurcations of periodic orbits are studied for two-dimensional diffeomorphisms close to a diffeomorphism with the quadratic homoclinic tangency to a saddle fixed point whose Jacobian is equal to one. Problems of the coexistence of periodic orbits of various types of stability are considered.

UDC: 517.9

Received in December 2000

 English version: Proceedings of the Steklov Institute of Mathematics, 2002, 236, 86–93

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