New Approximants for Nonlinear Functional Expansions
This work is a first step in obtaining new approximations for nonlinear functional expansions which are realized by bilinear systems. They are derived from formal approximants obtained from a combinatorial theory introduced by Leroux and Viennot. They were successive truncations of a nonlinear continued fraction and may be seen as the analogue of Padé approximants for analytic functions. These new approximations should provide a better analysis of nonlinear systems than the use of Volterra series.
KeywordsNonlinear Differential Equation Continue Fraction Elementary Step Bilinear System Volterra Series
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