2002/09/23 by E. Petrisor, Emilia Petrisor
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.1016/s0960-0779(02)00475-7
published as Chaos, Solitons and Fractals 17 (2003) 651-658 · 12 pages, Latex2e, four ps figures
arxiv created 2002/09/23 · openalex publication_date 2003/03/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper we study dynamical properties of the area preserving Henon map, as a discrete version of open Hamiltonian systems, that can exhibit chaotic scattering. Exploiting its geometric properties we locate the exit and entry sets, i.e. regions through which any forward, respectively backward, unbounded orbit escapes to infinity. In order to get the boundaries of these sets we prove that the right branch of the unstable manifold of the hyperbolic fixed point is the graph of a function, which is the uniform limit of a sequence of functions whose graphs are arcs of the symmetry lines of the Henon map, as a reversible map.