A GALLERY OF LORENZ-LIKE AND CHEN-LIKE ATTRACTORS

DOI10.1142/S0218127413300115zbMath1270.34142OpenAlexW2033042940MaRDI QIDQ2845184

Xiong Wang, Guan-Rong Chen

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127413300115

zbMATH Keywords

chaotic attractorLorenz systemChen systemgeneralized Lorenz canonical form

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Attractors of solutions to ordinary differential equations (34D45)

Related Items (12)

Generating Multiple Spherical Attractors via Parameter Switching Control ⋮ Role of logistic and Ricker's maps in appearance of chaos in autonomous quadratic dynamical systems ⋮ On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems ⋮ Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system ⋮ A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points ⋮ Research of chaotic dynamics of 3D autonomous quadratic systems by their reduction to special 2D quadratic systems ⋮ Chaos in essentially singular 3D dynamical systems with two quadratic nonlinearities ⋮ Generating Chaos from Two Three-Dimensional Rigorous Linear Systems via a Novel Switching Control Approach ⋮ Generating a Double-Scroll Attractor by Connecting a Pair of Mutual Mirror-Image Attractors via Planar Switching Control ⋮ Invariant Approach to Existence Problem of Chaos in 3D Autonomous Quadratic Dynamical Systems ⋮ Unnamed Item ⋮ Designing Chaotic Systems by Piecewise Affine Systems

Cites Work

• Constructing a new chaotic system based on the Šilnikov criterion
• Simplest dissipative chaotic flow.
• An equation for continuous chaos
• On the generalized Lorenz canonical form
• Complex Dynamical Behaviors of the Chaotic Chen's System
• CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS
• A UNIFIED LORENZ-TYPE SYSTEM AND ITS CANONICAL FORM
• CHAOTIC ATTRACTORS OF THE CONJUGATE LORENZ-TYPE SYSTEM
• A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
• ON THE NONEQUIVALENCE OF LORENZ SYSTEM AND CHEN SYSTEM
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• CHEN'S ATTRACTOR EXISTS
• ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
• BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
• A NEW CHAOTIC ATTRACTOR COINED
• ON THE GLOBAL BOUNDEDNESS OF THE CHEN SYSTEM
• A SIMPLE YET COMPLEX ONE-PARAMETER FAMILY OF GENERALIZED LORENZ-LIKE SYSTEMS
• BIFURCATION ANALYSIS OF CHEN'S EQUATION

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