Bifurcations of subharmonic solutions in reversible systems
type: Item
instance of: scholarly article
title: Bifurcations of subharmonic solutions in reversible systems
zbMATH Open document ID: 0664.34051
DOI: 10.1016/0022-0396(88)90127-1
author: Jean-Jacques Gervais
published in: Journal of Differential Equations
publication date: 1988-01-01T00:00:00Z
review text: Reversible is the equation \(\dot x=f(t,x,\lambda)\) if there is such a symmetric operator S on \(R^ n\) that \(S^ 2=I\) and \(Sf(-t,Sx,\lambda)=- f(t,x,\lambda).\) Under certain hypothesis the number of subharmonic solutions of period \(2\pi\) q, \(q\geq 3\) for \(\lambda\neq 0\) near 0, bifurcating from the trivial solution is given.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 4086109
zbMATH Keywords: symmetric operator
zbMATH Keywords: subharmonic solutions
MaRDI profile type: Publication
full work available at URL: 0022-0396(88)90127-1
OpenAlex ID: W2017841209
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description: scientific article; zbMATH DE number 4086109