Bifurcation of a periodic solution of a system of ordinary differential equations
type: Item
instance of: scholarly article
title: Bifurcation of a periodic solution of a system of ordinary differential equations
zbMATH Open document ID: 0632.34044
DOI: 10.1007/BF01056840
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: On étudie le système (1) \(\dot x=f(x,\lambda)x\), simultanément avec le système linéaire \(\dot y=A(t,\alpha,\lambda)y.\) Ici \(x\in E_ n\), \(y\in E_ n\), \(f(x,\lambda)\) est une \(n\times n\)-matrice, \(\lambda \in E_ m\), \(\lambda\) est un paramètre, \(\alpha \in E_ n\), \(\alpha\neq 0\) et \(A(t,\alpha,\lambda)\) est une matrice, qui est reliée avec la matrice \(f(x,\lambda)\) d'une façon donnée. On introduit \(\lambda_ 0\)-valeur de la bifurcation du paramètre \(\lambda\). Il existe un lien entre \(\lambda_ 0\) et les solutions périodiques du système (1). On prouve des théorèmes qui assurent l'existence des valeurs des bifurcations.
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 4027933
zbMATH Keywords: complex-conjugate eigenvalues
author: M. T. Terekhin
MaRDI profile type: Publication
cites work: Q3254900
cites work: Q3994613
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description: scientific article; zbMATH DE number 4027933