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Computation of normal forms

โœ Scribed by Shui-Nee Chow; Byron Drachman; Duo Wang

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
793 KB
Volume
29
Category
Article
ISSN
0377-0427

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๐Ÿ“œ SIMILAR VOLUMES

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Considering qualitative behavior of a non-linear dynamical system often leads to first simplifying the differential equations or finding their normal forms. A perturbation technique for computing normal forms is presented. This technique, associated with the method of multiple scales, can be used to

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A new procedure for obtaining high order normal forms and the associated coe$cients is presented. It is assumed that the Jacobian of the system considered is in a diagonal form. In comparison with existing normal form approaches, this procedure lends itself more readily to symbolic calculations, lik

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Normal forms are instrumental in the analysis of dynamical systems described by ordinary di!erential equations, particularly when singularities close to a bifurcation are to be characterized. However, the computation of a normal form up to an arbitrary order is numerically hard. This paper focuses o

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Finding normal forms of nonintegrable Hamiltonians is a problem encountered in many branches of physics. In this article, a symbolic program is presented which uses a succession of canonical transformations to construct the Birkhoff-Gustavson normal form of a nonseparable Hamiltonian.

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This paper presents a perturbation method for computing the normal forms of resonant double Hopf bifurcations with the aid of a computer algebraic system. This technique, based on the method of multiple time scales, can be used to deal with general n-dimensional systems without the application of ce