CiteULike is a free online bibliography manager. Register and you can start organising your references online.

From Hopf to Neimark-Sacker bifurcation: a computational algorithm Export

(9 Nov 2007)

Citation Format

[Posts]

View FullText article


ansobol's tags for this article

algorithm bifurcation dynamical-system numeric

X Reviews [Write a review of this article]

X Find related articles from these CiteULike users

X Find related articles with these CiteULike tags

X Posting History

X Abstract

We construct an algorithm for approximating the invariant tori created at a Neimark-Sacker bifurcation point. It is based on the same philosophy as many algorithms for approximating the periodic orbits created at a Hopf bifurcation point, i.e. a Fourier spectral method. For Neimark-Sacker bifurcation, however, we use a simple parametrisation of the tori in order to determine low-order approximations, and then utilise the information contained therein to develop a more general parametrisation suitable for computing higher-order approximations. Different algorithms, applicable to either autonomous or periodically-forced systems of differential equations, are obtained.


X BibTeX record

X RIS record


Privacy Statement | Terms & Conditions
CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. It helps undergraduates and postgraduates. People studying for PhDs or in postdoctoral (postdoc) positions. The service is similar in scope to EndNote or RefWorks or any other reference manager like BibTeX, but it is a social bookmarking service for scientists and humanities researchers.