SINGULAR ORBITS AND DYNAMICS AT INFINITY OF A CONJUGATE LORENZ-LIKE SYSTEM

DOI10.3846/13926292.2015.1019944zbMath1488.34255OpenAlexW2038552750MaRDI QIDQ5011230

Xianyi Li, Fengjie Geng

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2015.1019944

zbMATH Keywords

Hopf bifurcationhomoclinic and heteroclinic orbitsPoincaré compactificationsingularly degenerate heteroclinic cycle

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) Stability of solutions to ordinary differential equations (34D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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