A SIMPLE YET COMPLEX ONE-PARAMETER FAMILY OF GENERALIZED LORENZ-LIKE SYSTEMS

DOI10.1142/S0218127412501167zbMath1258.34112arXiv1101.4262OpenAlexW2963018423MaRDI QIDQ4908738

Juan Chen, Xiong Wang, Jun-an Lu, Guan-Rong Chen

Publication date: 6 March 2013

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

Full work available at URL: https://arxiv.org/abs/1101.4262

zbMATH Keywords

chaotic attractorLorenz systemChen systemgeneralized Lorenz canonical form

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items (12)

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Cites Work

• Constructing a new chaotic system based on the Šilnikov criterion
• Simplest dissipative chaotic flow.
• 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
• 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

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