On the global dynamics of a three-dimensional forced-damped differential system

DOI10.1080/14029251.2020.1757232zbMath1436.34028OpenAlexW3023933619MaRDI QIDQ5113685

Jaume Llibre, Claudia Valls, Y. Paulina Martínez

Publication date: 16 June 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/228119

zbMATH Keywords

invariant algebraic curveinvariantglobal dynamicsPoincaré compactificationforced-damped system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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Cites Work

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• A three-dimensional autonomous system with unbounded `bending' solutions
• Three-dimensional forced-damped dynamical systems with rich dynamics: bifurcations, chaos and unbounded solutions
• Qualitative theory of planar differential systems
• Bounded Polynomial Vector Fields
• Deterministic Nonperiodic Flow
• On the Darboux integrability of a three–dimensional forced–damped differential system
• A Four-Leaf Chaotic Attractor of a Three-Dimensional Dynamical System

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