Low-Dimensional Modelling of Dynamics via Computer Algebra
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
I describe a method, particularly suitable to implementation by computer algebra, for the derivation of low-dimensional models of dynamical systems. The method is systematic and is based upon centre manifold theory. Computer code for the algorithm is relatively simple, robust and flexible. The method is applied to two examples: one a straightforward pitchfork bifurcation, and one being the dynamics of thin fluid films.
Cite
@article{arxiv.chao-dyn/9604012,
title = {Low-Dimensional Modelling of Dynamics via Computer Algebra},
author = {A. J. Roberts},
journal= {arXiv preprint arXiv:chao-dyn/9604012},
year = {2009}
}
Comments
19 pages of standard LaTeX, 54K, feedback welcome Keywords: long-wave approximation, thin fluid film, low-dimensional modelling, centre manifold, computer algebra, bifurcation