Averaging Normal Forms for Partial Differential Equations with Applications to Perturbed Wave Equations

F. Verhulst ()
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F. Verhulst: University of Utrecht

Chapter 29 in Integral Methods in Science and Engineering, Volume 1, 2010, pp 307-321 from Springer

Abstract: Abstract Normalization and normal forms play an important part in mathematical analysis and algebra. For instance, n×n-matrices can be put in Jordan normal form. Such an example also makes it clear that normalization is not a unique procedure as the choice of normalization of matrices depends on its purpose. In the case of matrices there is a vast literature with many possibilities, but in all special cases and in other mathematical problems as well, the general aim of normalization is a simplification of the object by transformation.

Keywords: Periodic Solution; Normal Form; Parametric Resonance; Parametric Excitation; Tidal Basin (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4899-2_29

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