Matrix-free numerical torus bifurcation of periodic orbits

We consider systems ϕ˙ = f(ϕ, λ) where f : R^n×R → R^n. Such systems often arise from space discretizations of parabolic PDEs. We are interested in branches (with respect to λ) of periodic solutions of such systems. In the present paper we describe a numerical continuation method for tracing such br...

Full description

Bibliographic Details
Main Authors: Eugene Allgower, Ulf Garbotz
Format: Article
Language:English
Published: Sapienza Università Editrice 2005-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2005(1)/33-52.pdf