Normal forms near a symmetric planar saddle connection

DOI10.1016/j.jde.2016.01.034zbMath1342.34057OpenAlexW2256028740MaRDI QIDQ264482

Jeroen Wynen

Publication date: 31 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.01.034

zbMATH Keywords

planar vector fieldssaddle connectionsmooth normal forms

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Normal linearization and transition map near a saddle connection with symmetric resonances

Cites Work

• Unnamed Item
• Unnamed Item
• Birth of canard cycles
• Polynomial Liénard equations near infinity
• One-dimensional functional equations
• PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert's 16th problem.
• Formal reduction of cuspidal singularities of analytic vector fields
• Bifurcations of infinite polycycles for polynomic vector fields on the plane
• Hilbert's sixteenth problem for polynomial Liénard equations
• Qualitative theory of planar differential systems
• Cyclicity of a fake saddle inside the quadratic vector fields
• Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, invariant analytic sets and exponentially small approximation
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Bifurcations of cuspidal loops
• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point

This page was built for publication: Normal forms near a symmetric planar saddle connection