Analysis of Dynamical Behaviors in a Continuous Chaotic System Without Šil'nikov Orbits

DOI10.1142/S0218127415500145zbMath1309.34074OpenAlexW2039530428MaRDI QIDQ5246679

Baoying Chen, Xiaozhuo Han

Publication date: 22 April 2015

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

Full work available at URL: https://doi.org/10.1142/s0218127415500145

zbMATH Keywords

bifurcationPoincaré mapLyapunov exponentchaos of non-Šil'nikov type

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Cites Work

• Simple chaotic flows with a line equilibrium
• Constructing a new chaotic system based on the Šilnikov criterion
• Non-existence of Shilnikov chaos in continuous-time systems
• Ši'lnikov chaos in the generalized Lorenz canonical form of dynamical systems
• CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS
• Deterministic Nonperiodic Flow
• A SIMPLE SMOOTH CHAOTIC SYSTEM WITH A 3-LAYER ATTRACTOR
• CHEN'S ATTRACTOR EXISTS
• A NEW CHAOTIC ATTRACTOR COINED
• 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

This page was built for publication: Analysis of Dynamical Behaviors in a Continuous Chaotic System Without Šil'nikov Orbits