S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points”, Zap. Nauchn. Sem. POMI, 2003, Volume 300,Pages <nobr>155

This article is cited in 13 papers

On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points

S. V. Gonchenko, L. P. Shilnikov

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

Abstract: Semi-local dynamics of two-dimensional symplectic diffeomorphisms with homoclinic tangencies are studied. Conditions when infinitely many generic elliptic periodic orbits exist of successive periods beginning with some integer are found.

UDC: 517.9

Received: 30.11.2002

Language: English