Large amplitude oscillations for a class of symmetric polynomial differential systems in R³

DOI10.1590/S0001-37652007000400001zbMath1190.34036MaRDI QIDQ3655463

Marcelo Messias, Jaume Llibre

Publication date: 7 January 2010

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

periodic orbitssymmetric systemsinfinite heteroclinic loops

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

On the Pitchfork Bifurcation of the Folded Node and Other Unbounded Time-Reversible Connection Problems in $\mathbb R^3$

Cites Work

• The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits
• Turbulent transport and the random occurrence of coherent events
• The Falkner-Skan equation. I: The creation of strange invariant sets
• Bounded Polynomial Vector Fields

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