A note on Vishik's normal form

DOI10.1016/j.jde.2021.02.011zbMath1462.37020arXiv1911.05004OpenAlexW2985237850MaRDI QIDQ2656271

Ricardo Miranda Martins, Matheus M. Castro, Douglas Duarte Novaes

Publication date: 11 March 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05004

zbMATH Keywords

local smooth conjugationPoincaré half mapsVishik's normal form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Ordinary differential equations and systems on manifolds (34C40)

Related Items (1)

Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields

Cites Work

• On singularities of discontinuous vector fields.
• Structurally stable discontinuous vector fields in the plane.
• Generic bifurcation of refracted systems
• On the Dulac's problem for piecewise analytic vector fields
• Introduction to the theory of analytic spaces
• The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems
• On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
• Degenerate Hopf bifurcations in discontinuous planar systems
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