Low-Dimensional Modelling of Dynamics via Computer Algebra

Details Low-Dimensional Modelling of Dynamics via Computer Algebra Low-Dimensional Modelling of Dynamics via Computer Algebra

1996-04-22

arxiv.org/abs/chao-dyn/9604012v1

Nonlinear Sciences

Chaotic Dynamics

19 pages of standard LaTeX, 54K, feedback welcome Keywords: long-wave approximation, thin fluid film, low-dimensional modellin

Scientific paper

10.1016/S0010-4655(96)00162-2

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.

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