Limit cycles for a class of discontinuous piecewise generalized Kukles differential systems
Autor: | Camila Rodrigues, Regilene Oliveira, Ana Cristina Mereu |
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Rok vydání: | 2018 |
Předmět: |
Class (set theory)
Plane (geometry) Applied Mathematics Mechanical Engineering 010102 general mathematics Mathematical analysis Center (category theory) Aerospace Engineering Ocean Engineering Differential systems First order 01 natural sciences 010101 applied mathematics Control and Systems Engineering Piecewise Periodic orbits Limit (mathematics) 0101 mathematics Electrical and Electronic Engineering EQUAÇÕES DIFERENCIAIS ORDINÁRIAS Mathematics |
Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
ISSN: | 1573-269X 0924-090X |
DOI: | 10.1007/s11071-018-4319-6 |
Popis: | The present paper is devoted to study an estimative to the number of limit cycles which bifurcate from the periodic orbits of the linear center $$\dot{x}=y, \dot{y}=-x$$ by the averaging method of first order when it is perturbed inside a class of discontinuous generalized Kukles differential systems defined in 2l-zones, $$l=1,2,3,\ldots $$ , in the plane. |
Databáze: | OpenAIRE |
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