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Type: Artigo
Title: On the torus bifurcation in averaging theory
Author: Cândido, M.R.
Novaes, D.D.
Abstract: In this paper, we take advantage of the averaging theory to investigate a torus bifurcation in two-parameter families of 2D nonautonomous differential equations. Our strategy consists in looking for generic conditions on the averaged functions that ensure the existence of a curve in the parameter space characterized by a Neimark-Sacker bifurcation in the corresponding Poincaré map. A Neimark-Sacker bifurcation for planar maps consists in the birth of an invariant closed curve from a fixed point, as the fixed point changes stability. In addition, we apply our results to study a torus bifurcation in a family of 3D vector fields
Subject: Teoria da bifurcação
Country: Estados Unidos
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.jde.2019.10.031
Date Issue: 2020
Appears in Collections:IMECC - Artigos e Outros Documentos

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