On topological stability of divergent diagrams of folds

DOI10.1007/BF01214176zbMath0471.58009MaRDI QIDQ1157617

Marco Antonio Teixeira

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173195

zbMATH Keywords

fold pointlocal topological stability of diagrams of mappingsstructural stability of diffeomorphisms

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Stability theory for smooth dynamical systems (37C75) Differentiable maps on manifolds (58C25)

Related Items (12)

A topological invariant for discontinuous vector fields ⋮ Three Crossing Limit Cycles in a 3D-Filippov System Having a T-Singularity ⋮ The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems ⋮ Teixeira singularities in 3D switched feedback control systems ⋮ Chains in \(3D\) Filippov systems: a chaotic phenomenon ⋮ Generic bifurcation of refracted systems ⋮ On singularities of discontinuous vector fields. ⋮ Model reduction of non-densely defined piecewise-smooth systems in Banach spaces ⋮ Revisiting the Teixeira Singularity Bifurcation Analysis: Application to the Control of Power Converters ⋮ Bifurcations at a degenerate two-fold singularity and crossing limit cycles ⋮ On the Teixeira singularity bifurcation in a DC-DC power electronic converter ⋮ Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems

Cites Work

• Germs of diffeomorphisms in the plane
• Wave front evolution and equivariant Morse lemma

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