Dynamics of a 3D autonomous quadratic system with an invariant algebraic surface

DOI10.1007/s11071-014-1395-0zbMath1331.34044OpenAlexW2075015595MaRDI QIDQ2353870

Zhen Wang, Zhouchao Wei, Xiaojian Xi, Yongxin Li

Publication date: 9 July 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1395-0

zbMATH Keywords

dynamics at infinityinvariant algebraic surfacesingularly degenerate heteroclinic cyclePoincare compactification

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (3)

Research of chaotic dynamics of 3D autonomous quadratic systems by their reduction to special 2D quadratic systems ⋮ Complex dynamics in a quasi-periodic plasma perturbations model ⋮ Dynamical analysis of a two prey-one predator system with quadratic self interaction

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