Some new insights into a known Chen-like system

DOI10.1002/MMA.3599zbMath1343.34102OpenAlexW1943920370MaRDI QIDQ2809498

Xianyi Li, Hai-Jun Wang

Publication date: 30 May 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3599

zbMATH Keywords

Hopf bifurcationfold bifurcationpitchfork bifurcationPoincaré compactificationsingularly degenerate heteroclinic cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

A true three-scroll chaotic attractor coined ⋮ HOPF BIFURCATION AND NEW SINGULAR ORBITS COINED IN A LORENZ-LIKE SYSTEM ⋮ Modeling and analysis of dynamics for a 3D mixed Lorenz system with a damped term ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System

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