Autonomous Differential Equations for the Henon Map and Other Two-Dimensional Diffeomorphisms

摘要

For the study of bifurcations and chaotic behavior of nonlinear dynamical systems, discrete mappings turned out to be extremely useful. In order to study the smooth evolution underlying two dimensional invertible mappings, we discuss the suspension of the Henon map of the plane, the standard map on the torus and more general cremona transformations of the plane. 16 refs. (ERA citation 11:029137)