Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three

DOI10.5802/afst.1004zbMath1017.37009OpenAlexW1998242774MaRDI QIDQ1872803

Vincent Naudot, Patrick Bonckaert

Publication date: 6 July 2003

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2001_6_10_4_595_0

zbMATH Keywords

vector fieldDulac mapasymptotic expressionhyperbolic equilibrium point of saddle type

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems with hyperbolic orbits and sets (37D05) Stability theory for smooth dynamical systems (37C75)

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Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions, Linearization of families of germs of hyperbolic vector fields, Chaos near a resonant inclination-flip, A cubic Hénon-like map in the unfolding of degenerate homoclinic orbit with resonance, Linearization of germs of hyperbolic vector fields.

Cites Work

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