Sufficient conditions for the existence of periodic solutions of the extended Duffing–Van der Pol oscillator
Loading...
External sources
External sources
Date
Authors
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
Type
Article
Access right
Acesso aberto
External sources
External sources
Abstract
In this paper, some aspects on the periodic solutions of the extended Duffing–Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the system associated with the extended Duffing–Van der Pol oscillator, we show that it can bifurcate one or three periodic solutions from a two-dimensional manifold filled by periodic solutions of the referred system. For each rescaling we exhibit concrete values for which these bounds are reached. Beyond that we characterize the stability of some periodic solutions. Our approach is analytical and the results are obtained using the averaging theory and some algebraic techniques.
Description
Language
English
Citation
International Journal of Computer Mathematics, v. 93, n. 8, p. 1358-1382, 2016.
