A 3D Smale horseshoe in a hyperchaotic discrete-time system

DOI10.1155/2007/16239zbMath1179.37050OpenAlexW2093700670MaRDI QIDQ2478360

Qingdu Li, Xiao-Song Yang

Publication date: 28 March 2008

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116969

Mathematics Subject Classification ID

Additive difference equations (39A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximation methods and numerical treatment of dynamical systems (37M99) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Related Items (5)

Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system ⋮ A computer-assisted proof of the existence of Smale horseshoe for the folded-towel map ⋮ An algorithm to automatically detect the Smale horseshoes ⋮ Ultimate boundary estimations and topological horseshoe analysis of a new 4D hyper-chaotic system ⋮ Chaotic Polynomial Maps

Uses Software

• INTLAB

Cites Work

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• Horseshoes in piecewise continuous maps
• Interval analysis: Theory and applications
• The Conley index and symbolic dynamics
• Topological horseshoes

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