1999/06/14 by Yoshihiro Hirata, Y. Hirata, K. Nozaki +3 · 1 citation
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #chao-dyn #nlin.CD
paper · pdf · doi:10.1143/ptp.102.701
8 pages, LaTeX
arxiv created 1999/06/14 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We asymptotically compute the intersection angles between N-dimensional stable and unstable manifolds in 2N-dimensional symplectic mappings. There exist particular 1-dimensional stable and unstable sub-manifolds that experience exponentially small splitting of separatrix in our models. We show that the angle between the sub-manifolds is exponentially small with respect to the perturbation parameter ϵ, and the other angles are Oϵ2.