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A type of moduli for saddle connections of planar diffeomorphisms

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Publication:1120173
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DOI10.1016/0022-0396(88)90130-1zbMath0672.58036OpenAlexW1993736514MaRDI QIDQ1120173

Freddy Dumortier, Welington De Melo

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90130-1

zbMATH Keywords

saddle connectiontransition functionhyperbolic fixed pointsPalis index


Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)


Related Items

On stable and unstable behaviour of certain rotation segments, Moduli of stability for germs of homogeneous vectorfields on \(R^ 3\), A consequence of the growth of rotation sets for families of diffeomorphisms of the torus, Transition functions and moduli of stability for 3-dimensional homogeneous vector fields with a hyperbolic blowing-up, Conjugacy of normally tangent diffeomorphisms: A tool for treating moduli of stability



Cites Work

  • Bifurcations and stability of families of diffeomorphisms
  • Moduli of stability of two-dimensional diffeomorphisms
  • Germs of diffeomorphisms in the plane
  • Diffeomorphisms on surfaces with a finite number of moduli
  • Geometric Properties of Homogeneous Vector Fields of Degree Two in R 3
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