On singularities of discontinuous vector fields.

DOI10.1016/S0007-4497(03)00047-2zbMath1047.37010MaRDI QIDQ1414107

Marco Antonio Teixeira, Alain Jacquemard

Publication date: 19 November 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

symmetryclassificationuniquenessbifurcationsingularityreversibilitydiscontinuous vector fields

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamics induced by flows and semiflows (37C10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Singularities of vector fields, topological aspects (58K45) Generic properties, structural stability of dynamical systems (37C20)

Related Items (10)

A note on Vishik's normal form ⋮ The planar discontinuous piecewise linear refracting systems have at most one limit cycle ⋮ Generic bifurcation of refracted systems ⋮ Coupled systems of non-smooth differential equations ⋮ Cyclicity near infinity in piecewise linear vector fields having a nonregular switching line ⋮ Generic singularities of relay systems ⋮ Integration of a Dirac comb and the Bernoulli polynomials ⋮ Periodic solutions of a class of non-autonomous discontinuous second-order differential equations ⋮ Time switched differential equations and the Euler polynomials ⋮ Normally Hyperbolic Sets in Discontinuous Dry Friction Oscillator

Cites Work

• Stability of the equilibrium positions in relay systems
• On topological stability of divergent diagrams of folds
• Theory of chattering control with applications to astronautics, robotics, economics, and engineering
• Singular trajectories and their role in control theory
• Vector fields near the boundary of a manifold
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On singularities of discontinuous vector fields.