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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the Dulac's problem for piecewise analytic vector fields

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Author(s):
Andrade, K. da S. [1] ; Jeffrey, M. R. [2] ; Martins, R. M. [3] ; Teixeira, M. A. [3]
Total Authors: 4
Affiliation:
[1] Univ Fed Goias, IME, Dept Math, BR-74690900 Goiania, Go - Brazil
[2] Univ Bristol, Engn Math, Merchant Venturers Bldg, Bristol BS8 1UB, Avon - England
[3] Univ Estadual Campinas, IMECC, Dept Math, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Differential Equations; v. 266, n. 4, p. 2259-2273, FEB 5 2019.
Web of Science Citations: 0
Abstract

This paper presents a version of Dulac's Problem for piecewise analytic vector fields that states conditions for the number of limit cycles around certain minimal sets. A suitable model-theoretic structure is introduced under which a qualitative investigation of the problem is settled. (C) 2018 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 13/07523-9 - Bifurcations of Degenerated Cycles in Discontinuous Systems
Grantee:Kamila da Silva Andrade
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 18/03338-6 - Global dynamics of piecewise smooth dynamical systems
Grantee:Ricardo Miranda Martins
Support Opportunities: Regular Research Grants
FAPESP's process: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:Marco Antônio Teixeira
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 15/06903-8 - Minimal sets in non-smooth dynamical systems
Grantee:Ricardo Miranda Martins
Support Opportunities: Regular Research Grants
FAPESP's process: 14/21259-5 - Typical cycles in piecewise smooth dynamical systems
Grantee:Kamila da Silva Andrade
Support Opportunities: Scholarships abroad - Research Internship - Doctorate