SHIL'NIKOV HETEROCLINIC ORBITS IN A CHAOTIC SYSTEM

DOI10.1142/S0217979207037788zbMath1186.37031OpenAlexW2017710575MaRDI QIDQ3504124

Feng-Yun Sun

Publication date: 11 June 2008

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979207037788

zbMATH Keywords

heteroclinic orbitLiu systemShil'nikov theorem

Mathematics Subject Classification ID

Two-body problems (70F05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Comment on ``Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems ⋮ Comment on `Šilnikov-type orbits of Lorenz-family systems' ⋮ Comment on ``Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system ⋮ Shil'nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere ⋮ Competitive Modes for the Detection of Chaotic Parameter Regimes in the General Chaotic Bilinear System of Lorenz Type

Cites Work

• Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system
• Constructing a new chaotic system based on the Šilnikov criterion
• A new chaotic attractor
• Ši'lnikov chaos in the generalized Lorenz canonical form of dynamical systems
• A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
• CHEN'S ATTRACTOR EXISTS
• 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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