On the Dulac's problem for piecewise analytic vector fields

Author:

Andrade K. da S.ORCID,Jeffrey M.R.,Martins R.M.ORCID,Teixeira M.A.

Funder

EU Marie-Curie IRSES

FAPESP

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference18 articles.

1. Bifurcation of Planar Vector Fields and Hilbert's Sixteenth Problem;Roussarie,1998

2. Quadratic vector fields in the plane have a finite number of limit cycles;Bamón;Publ. Math. Inst. Hautes Études Sci.,1986

3. Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane;Il'Yashenko;Funct. Anal. Appl.,1984

4. Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac;Ecalle,1992

5. Introduction to the Theory of Stability;Barbashin,1970

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1. Monodromy and Dulac's problem for piecewise analytical planar vector fields;Bulletin des Sciences Mathématiques;2023-11

2. Stability and Cyclicity of Polycycles in Non-smooth Planar Vector Fields;Qualitative Theory of Dynamical Systems;2023-07-30

3. A note on Vishik's normal form;Journal of Differential Equations;2021-04

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