Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 16239, 9 pages
doi:10.1155/2007/16239
A 3D Smale horseshoe in a hyperchaotic discrete-time system
Qingdu Li1
and Xiao-Song Yang2
1Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract
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.