On the Dulac's problem for piecewise analytic vector fields

K. da S. Andrade; M. R. Jeffrey; R. M. Martins; M. A. Teixeira

doi:10.1016/j.jde.2018.08.029

On the Dulac's problem for piecewise analytic vector fields

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

^*Corresponding author for this work

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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.

Original language	English
Pages (from-to)	2259-2273
Number of pages	15
Journal	Journal of Differential Equations
Volume	266
Issue number	4
Early online date	20 Aug 2018
DOIs	https://doi.org/10.1016/j.jde.2018.08.029
Publication status	Published - 5 Feb 2019

Structured keywords

Engineering Mathematics Research Group

Keywords

Dulac's problem
Piecewise analytic vector field
Quasi-regular map

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10.1016/j.jde.2018.08.029

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at https://www.sciencedirect.com/science/article/pii/S0022039618304856 . Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 365 KBLicence: CC BY-NC-ND

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title = "On the Dulac's problem for piecewise analytic vector fields",

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.",

keywords = "Dulac's problem, Piecewise analytic vector field, Quasi-regular map",

author = "Andrade, {K. da S.} and Jeffrey, {M. R.} and Martins, {R. M.} and Teixeira, {M. A.}",

year = "2019",

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doi = "10.1016/j.jde.2018.08.029",

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journal = "Journal of Differential Equations",

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T1 - On the Dulac's problem for piecewise analytic vector fields

AU - Andrade, K. da S.

AU - Jeffrey, M. R.

AU - Martins, R. M.

AU - Teixeira, M. A.

PY - 2019/2/5

Y1 - 2019/2/5

N2 - 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.

AB - 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.

KW - Dulac's problem

KW - Piecewise analytic vector field

KW - Quasi-regular map

UR - http://www.scopus.com/inward/record.url?scp=85051722123&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2018.08.029

DO - 10.1016/j.jde.2018.08.029

M3 - Article (Academic Journal)

AN - SCOPUS:85051722123

SN - 0022-0396

VL - 266

SP - 2259

EP - 2273

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 4

ER -

On the Dulac's problem for piecewise analytic vector fields

Abstract

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Keywords

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