DYNAMICS OF THE LÜ SYSTEM ON THE INVARIANT ALGEBRAIC SURFACE AND AT INFINITY

DOI10.1142/S0218127411029938zbMath1248.34069MaRDI QIDQ3165850

Yongjian Liu, Qi-Gui Yang

Publication date: 19 October 2012

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

zbMATH Keywords

Lü systemdynamics at infinityinvariant algebraic surfacesingularly degenerate heteroclinic cycleglobal behavior

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (13)

A note on ``Introduction and synchronization of a five-term chaotic system with an absolute-value term by Pyung Hun Chang and Dongwon Kim ⋮ Analysis of global dynamics in an unusual 3D chaotic system ⋮ Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the conjugate Lorenz-type system ⋮ Qualitative geometric analysis of traveling wave solutions of the modified equal width Burgers equation ⋮ Some new insights into the Liu system ⋮ The Lü system is a particular case of the Lorenz system ⋮ Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system ⋮ Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems ⋮ On singular orbits and a given conjecture for a 3D Lorenz-like system ⋮ Jacobi Stability Analysis of the Chen System ⋮ Unnamed Item ⋮ Piecewise smooth vector fields in \(\mathbb{R}^3\) at infinity ⋮ Dynamics of a 3D autonomous quadratic system with an invariant algebraic surface

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