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Global dynamics of the Benoît system

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Publication:741299
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DOI10.1007/s10231-012-0318-2zbMath1417.34130OpenAlexW1963608975MaRDI QIDQ741299

Jaume Llibre, Maurício Firmino Silva Lima

Publication date: 11 September 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150715


zbMATH Keywords

invariant manifoldsheteroclinic orbithomoclinic orbitfirst integralequilibrium pointPoincaré compactificationPoincaré sphereBenoît system


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Canard solutions to ordinary differential equations (34E17)


Related Items

Folded Saddles and Faux Canards



Cites Work

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  • Chasse au canard
  • Qualitative theory of planar differential systems
  • Perturbation singulière en dimension trois : canards en un point pseudo-singulier nœud
  • Bounded Polynomial Vector Fields
  • Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
  • Canards in \(\mathbb{R}^3\)
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