dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Gasull Embid, Armengol
dc.contributor.author
Guillamon Grabolosa, Antoni
dc.contributor.author
Mañosa Fernández, Víctor
dc.identifier
https://hdl.handle.net/2117/947
dc.description.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.
dc.format
application/pdf
dc.rights
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights
Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject
Ordinary Differential Equations and Operators, Symposium on
dc.subject
Differential equations
dc.subject
Liapunov constants
dc.subject
analytic-numerical method
dc.subject
Equacions diferencials ordinàries
dc.subject
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject
Classificació AMS::34 Ordinary differential equations::34D Stability theory
dc.subject
Classificació AMS::65 Numerical analysis::65L Ordinary differential equations
dc.title
An analytic-numerical method of computation of the Liapunov and period constants derived from their algebraic structure
