Exponentially small oscillation of 2-dimensional stable and unstable manifolds in 4-dimensional symplectic mappings
arXiv:chao-dyn/9901004 · doi:10.1143/PTP.101.1181
Abstract
Homoclinic bifurcation of 4-dimensional symplectic mappings is asymptotically studied. We construct the 2-dimensional stable and unstable manifolds near the sub-manifolds which experience exponentially small splitting, and successfully obtain exponentially small oscillating terms in the 2-dimensional manifolds.
arXiv comment6 pages, LaTeX