Regularization of saddle-fold singularity for nonsmooth differential systems

DOI10.1016/j.jmaa.2019.02.003zbMath1506.34043OpenAlexW2913301764MaRDI QIDQ2633686

Claudio A. Buzzi, Robson A. T. Santos

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.02.003

zbMATH Keywords

bifurcationsvector fieldsnonsmooth vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Cites Work

• Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields
• Generic bifurcations of low codimension of planar Filippov systems
• Structural stability on two-dimensional manifolds
• Structurally stable discontinuous vector fields in the plane.
• One-Parameter Bifurcations in Planar Filippov Systems
• Elements of applied bifurcation theory
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