Limit cycles for Singular Perturbation Problems via Inverse Integrating Factor



Document title: Limit cycles for Singular Perturbation Problems via Inverse Integrating Factor
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000395374
ISSN: 0037-8712
Authors: 1
2
3
Institutions: 1Universidad Autónoma de Barcelona, Departamento de Matemáticas, Bellaterra, Barcelona. España
2Universidade Federal de Goias, Instituto de Matematica e Estatistica, Goiania, Goias. Brasil
3Universidade Estadual Paulista "Julio de Mesquita Filho", Instituto de Biociencias, Letras e Ciencias Exatas, Sao Jose do Rio Preto, Sao Paulo. Brasil
Year:
Volumen: 26
Number: 1-2
Pages: 41-52
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract In this paper singularly perturbed vector fields Xε defined in R² are discussed. The main results use the solutions of the linear partial differential equation XεV = div(Xε)V to give conditions for the existence of limit cycles converging to a singular orbit with respect to the Hausdorff distance
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Ciclos límite,
Campos vectoriales,
Teoría cualitativa,
Ecuaciones diferenciales,
Análisis no lineal,
Teoría de bifurcaciones
Keyword: Mathematics,
Pure mathematics,
Limit cycles,
Vector fields,
Qualitative theory,
Differential equations,
Nonlinear analysis,
Bifurcation theory
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