论文信息 - On Bifurcations of Three-Dimensional Diffeomorphisms with a Homoclinic Tangency to a “Neutral” Saddle Fixed Point

On Bifurcations of Three-Dimensional Diffeomorphisms with a Homoclinic Tangency to a “Neutral” Saddle Fixed Point

Bifurcations of single-round periodic orbits of three-dimensional diffeomorphisms with a quadratic homoclinic tangency of manifolds of a saddle fixed point with saddle value equal to 1 are studied. Bibliography: 8 titles.

V. S. Gonchenko | I. I. Ovsyannikov

[1] L. Shilnikov,et al. On Moduli of Systems with a Structurally Unstable Homoclinic POINCARÉ Curve , 1993 .

[2] S. V. Gonchenko,et al. Invariants of Ω-conjugacy of diffeomorphisms with a nongeneric homoclinic trajectory , 1990 .

[3] L. P. Šil'nikov,et al. ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II , 1972 .