Abstract
AbstractA study is made of the branching of time periodic solutions of a system of differential equations in R2 in the case of a double zero eigenvalue. It is shown that the solution need not be unique and the period of the solution is large. The stability of these solutions is analysed. Examples are given and generalizations to larger systems are discussed.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. A survey of quadratic systems
2. The nonbifurcation of periodic solutions when the variational matrix has a zero eigenvalue
3. Abzweigung eines periodischer Losung eines Differential systems;Hopf;Bericheten der Mathematisch Physikalischen Klasse der Sāchsischen Akademie der Wissenschaften, Leipzig,1942