A singular perturbation method for saddle connections and subharmonics of certain nonlinear differential equations with fixed saddle points.

Título inglés	A singular perturbation method for saddle connections and subharmonics of certain nonlinear differential equations with fixed saddle points.
Título español	Un método de perturbación singular para conexiones de silla y sub-armónicos de ciertas ecuaciones diferenciales no lineales con puntos de silla fijos.
Autor/es	Smith, Peter
Organización	Dep. Math. Univ. Keele, Staffordshire, Reino Unido
Revista	0214-3577
Publicación	1990, 3 (1): 89-107, 13 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Saddle connections and subharmonics are investigated for a class of forced second order differential equations which have a fixed saddle point. In these equations, which have linear damping and a nonlinear restoring term, the amplitude of the forcing term depends on displacement in the system. Saddle connections are significant in nonlinear systems since their appearance signals a homoclinic bifurcation. The approach uses a singular perturbation method which has a fairly broad application to saddle connections and also to various subharmonics. The singular perturbation is unusual in that it uses a time-scale which has to be constructed over an infinite interval. The system with a cubic restoring term and a quadratic amplitude is looked at in some detail.
Clasificación UNESCO	120219
Palabras clave español	Ecuaciones diferenciales no lineales ; Perturbaciones
Código MathReviews	MR1060281
Código Z-Math	Zbl 0711.34073
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