An analytic-numerical method of computation of the Liapunov and period constants derived from their algebraic structure

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Document typeArticle
Defense date1996
Rights accessOpen Access
Abstract
We consider the problem of computing the Liapunov and the period
constants for a smooth differential equation with a non degenerate
critical point. First, we investigate the structure of both constants
when they are regarded as polynomials on the coefficients of the
differential equation. Secondly, we take advantadge of this structure
to derive a method to obtain the explicit expression of the
above-mentioned constants. Although this method is based on the use of the
Runge-Kutta-Fehlberg methods of orders 7 and 8 and the use of
Richardson's extrapolation, it provides the real expression for these
constants.
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