Structurally stable fields of line elements on surfaces

DOI10.1016/S0362-546X(97)00557-9zbMath0990.37015MaRDI QIDQ4259684

I. U. Bronshteĭn, Igor V. Nikolaev

Publication date: 19 October 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

structural stabilityvector fieldgeneric singularitiesAndronov-Pontrjagin-Peixoto theorem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Generic properties, structural stability of dynamical systems (37C20)

Related Items (1)

The combinatorics of gradient-like flows and foliations on closed surfaces. I: Topological classification

Cites Work

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• Positive Quadratic Differential Forms and Foliations with Singularities on Surfaces
• Branch Point Structure of Covering Maps Onto Nonorientable Surfaces
• Topological classification of flows on closed two-dimensional manifolds

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