Constructing piecewise linear chaotic system based on the heteroclinic Shil'nikov theorem

DOI10.1016/j.cnsns.2007.07.007zbMath1221.37063OpenAlexW2080953468MaRDI QIDQ718824

Xiyou Chen, Guan Lin Li

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.07.007

zbMATH Keywords

chaosheteroclinic orbitchaotic attractorShil'nikov theorem

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (6)

Heteroclinic cycles in a class of 3-dimensional piecewise affine systems ⋮ Generating Shilnikov chaos in 3D piecewise linear systems ⋮ Chaotification for a class of cellular neural networks with distributed delays ⋮ Derivation of a continuous time dynamic planar system with two unstable foci from a three-dimensional chaotic piecewise linear system ⋮ A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation ⋮ Parametric control for multiscroll generation: electronic implementation and equilibrium analysis

Cites Work

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• Generating 3-D multi-scroll chaotic attractors: a hysteresis series switching method
• FAMILIES OF SCROLL GRID ATTRACTORS
• Shil'nikov's theorem-a tutorial
• Generation of n-double scrolls (n=1, 2, 3, 4,...)
• GENERATING MULTISCROLL CHAOTIC ATTRACTORS: THEORIES, METHODS AND APPLICATIONS

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