A SIMPLE SMOOTH CHAOTIC SYSTEM WITH A 3-LAYER ATTRACTOR

DOI10.1142/S0218127404010175zbMath1129.37325MaRDI QIDQ4655655

Tianshou Zhou, Guan-Rong Chen

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Chaotic attractor3-layer attractorsmooth chaotic system

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

The chaotic region of Lorenz-type system in the parametric space ⋮ Generating Multiple Spherical Attractors via Parameter Switching Control ⋮ A MAXIMALLY CHAOTIC 3D AUTONOMOUS SYSTEM ⋮ Existence of a new three-dimensional chaotic attractor ⋮ CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS ⋮ Generating a Double-Scroll Attractor by Connecting a Pair of Mutual Mirror-Image Attractors via Planar Switching Control ⋮ CHAOTIC ATTRACTORS OF THE CONJUGATE LORENZ-TYPE SYSTEM ⋮ OSCILLATIONS AND CHAOS IN SIMPLE QUADRATIC SYSTEMS ⋮ Ši'lnikov chaos in the generalized Lorenz canonical form of dynamical systems ⋮ AN EXTENDED ŠIL'NIKOV HOMOCLINIC THEOREM AND ITS APPLICATIONS ⋮ Analysis of Dynamical Behaviors in a Continuous Chaotic System Without Šil'nikov Orbits

Cites Work

• An equation for continuous chaos
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• SINGLE STATE-FEEDBACK CHAOTIFICATION OF DISCRETE DYNAMICAL SYSTEMS
• Shil'nikov's theorem-a tutorial
• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

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