A 3D Smale Horseshoe in a Hyperchaotic Discrete-Time System
Qingdu Li, Xiao‐Song Yang · Discrete Dynamics in Nature and Society · 2007
This paper presents a three-dimensional topological horseshoe in the hyperchaotic generalized Hénon map. It looks like a planar Smale horseshoe with an additional vertical expansion, so we call it 3D Smale horseshoe. In this way, a computer assisted verification of existence of hyperchaos is provided by means of interval analysis.