INIFTA 05425
INSTITUTO DE INVESTIGACIONES FISICO-QUIMICAS TEORICAS Y APLICADAS
Unidad Ejecutora - UE
artículos
Título:
On the small-amplitude approximation to the differential equation x"+(1+x'^2)x=0
Autor/es:
FRANCISCO M. FERNÁNDEZ
Revista:
APPLIED MATHEMATICS AND COMPUTATION
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Año: 2010 vol. 216 p. 3111 - 3113
ISSN:
0096-3003
Resumen:
We obtain the small-amplitude expansion for the period of the nonlinear oscillatorx þ ð1 þ _x2Þx ¼ 0 with the initial conditions xð0Þ ¼ A and _xð0Þ ¼ 0, calculate its radius ofconvergence and show that the inverted perturbation series appears to converge smoothlyfrom below.
