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A topological horseshoe in the hyperchaotic Rössler attractor
Authors:Qingdu Li
Institution:Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract:This Letter reports a horseshoe with two-directional expansion in the 4D hyperchaotic Rössler system. In order to show that it is indeed a horseshoe with two-dimensional expansion, some simple results on topological horseshoe which are applicable to 3D hyperchaotic maps are presented. In this way, a computer-assisted verification of hyperchaoticity is presented.
Keywords:Chaos  Hyperchaos  Topological horseshoe  Hyperchaotic Rö  ssler attractor
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