Interaction of the folded Whitney umbrella and swallowtail in slow-fast systems

DOI10.1134/S008154381206003XzbMath1323.34073OpenAlexW2061585011MaRDI QIDQ744272

I. A. Bogaevskii

Publication date: 7 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381206003x

zbMATH Keywords

first integralsvector fieldsLegendrian submanifoldWhitney umbrellasmooth slow-fast system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Unnamed Item
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Legendre singularities in systems of implicit ODEs and slow-fast dynamical systems
• Actions with a finite number of orbits
• A note on First order Differential Equations of Degree Greater than One and Wavefront Evolution
• CLASSIFICATION OF GENERIC INTEGRAL DIAGRAMS AND FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS

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