Legendre singularities in systems of implicit ODEs and slow-fast dynamical systems

DOI10.1134/S0081543808020119zbMath1239.34010OpenAlexW2061090314MaRDI QIDQ764666

Vladimir M. Zakalyukin, Alexey O. Remizov

Publication date: 14 March 2012

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

Full work available at URL: https://doi.org/10.1134/s0081543808020119

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

On the geometry of folded cuspidal edges ⋮ Interaction of the folded Whitney umbrella and swallowtail in slow-fast systems

Cites Work

• 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
• Generic singular points of implicit differential equations
• Singularities of second-order implicit differential equations: A geometrical approach
• Symplectic and Lagrange stabilities of open Whitney umbrellas
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