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

Armengol Gasull, Antoni Guillamon, Víctor Mañosa

Producció científica: Contribució a revistaArticleRecerca

12 Cites (Scopus)

Resum

We consider the problem of computing the Liapunov and the period constants for a smooth differential equation with a nondegenerate critical point. First, we investigate the structure of both constants when they are regarded as polynomials on the coefficients of the differential equation. Second, we take advantage 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.
Idioma originalAnglès
Pàgines (de-a)1030-1043
RevistaSIAM Journal on Numerical Analysis
Volum36
Número4
DOIs
Estat de la publicacióPublicada - 1 de gen. 1999

Fingerprint

Navegar pels temes de recerca de 'An analytic-numerical method for computation of the Liapunov and period constants derived from their algebraic structure'. Junts formen un fingerprint únic.

Com citar-ho