Welcome!
To use the personalized features of this site, please log in or register.
If you have forgotten your username or password, we can help.
My Menu
Saved Items

Numerical Continuation of Fold Bifurcations of Limit Cycles in MATCONT

Annick DhoogeContact Information, Willy GovaertsContact Information and Yuri A. KuznetsovContact Information

(6)  Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium
(7)  Mathematisch Instituut, Universiteit Utrecht, Boedapestlaan 6, 3584 CD Utrecht, The Netherlands
Abstract
matcont is a Matlab continuation package with a GUI for the interactive numerical study of a range of parameterized nonlinear problems. In the case of ODEs it allows to compute curves of equilibria, limit points, Hopf points, limit cycles, period doubling bifurcation points of limit cycles and fold bifurcation points of limit cycles. It can use the symbolic toolbox of Matlab to compute derivatives of order up to five of the object function. We discuss some details on the implementation of the limit cycles and the fold bifurcation of limit cycles in matcont. The inherent sparsity of the discretized systems for the computation of limit cycles and their bifurcation points is exploited by using the standard Matlab sparse matrix methods.

Contact Information Annick Dhooge
Email: Annick.Dhooge@rug.ac.be

Contact Information Willy Govaerts
Email: Willy.Govaerts@rug.ac.be

Contact Information Yuri A. Kuznetsov
Email: kuznetsov@math.uu.nl
Fulltext Preview (Small, Large)
Image of the first page of the fulltext

References secured to subscribers.



Export this chapter
Export this chapter as RIS | Text
 
Remote Address: 38.107.191.105 • Server: mpweb21
HTTP User Agent: CCBot/1.0 (+http://www.commoncrawl.org/bot.html)