On automated derivation of amplitude equations in nonlinear bifurcation problems
نویسندگان
چکیده
Examples of computer-assisted derivation of the amplitude equations valid in the vicinity of a bifurcation point are presented. The methodology created using Mathematica computer software language is outlined, so that its potential to tackle a wide class of problems in nonlinear sciences appears.
منابع مشابه
for Nonlinear Analysis: I. Unfolding of Dynamical Systems, preprint chao-dyn/9601017, available at http://xxx.lanl.gov
Automated algorithms for derivation of amplitude equations in the vicinity of monotonic and Hopf bifurcation manifolds are presented. The implementation is based on Mathematica programming, and is illustrated by several examples.
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Automated algorithms for derivation of amplitude equations in the vicinity of monotonic and Hopf bifurcation manifolds are presented. The implementation is based on Mathematica programming, and is illustrated by several examples.
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