scientific article; zbMATH DE number 1791637

zbMath1039.37015arXivmath/0201288MaRDI QIDQ4551566

Peter Ashwin, James A. Montaldi

Publication date: 22 February 2004

Full work available at URL: https://arxiv.org/abs/math/0201288

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zbMATH Keywords

structural stabilityhomoclinic orbitgroup actionhomoclinic connectionequivariant vector fields

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Generic properties, structural stability of dynamical systems (37C20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Simple homoclinic cycles in low-dimensional spaces ⋮ Complete classification of homoclinic cycles in \(\mathbb{R}^4\) in the case of a symmetry group \(G\subset\text{SO}(4)\).

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