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Normal Forms for Retarded Functional Differential Equations and Applications to Bogdanov-Takens Singularity

โœ Scribed by T. Faria; L.T. Magalhaes


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
827 KB
Volume
122
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES


Normal Forms for Retarded Functional Dif
โœ T. Faria; L.T. Magalhaes ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 650 KB

The paper addresses, for retarded functional differential equations (FDEs) with parameters, the computation of normal forms associated with the flow on a finitedimensional invariant manifold tangent to an invariant space for the infinitesimal generator of the linearized equation at a singularity. Th

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In this paper, we extend the basic Exp-function method to nonlinear lattice differential equations for constructing multi-wave and rational solutions for the first time. We consider a differential-difference analogue of the Korteweg-de Vries equation to elucidate the solution procedure. Our approach