On the asymptotic behavior of a system of steepest descent equations coupled by a vanishing mutual repulsion

Author	dc.contributor.author	Álvarez Daziano, Felipe
Author	dc.contributor.author	Cabot, Alexandre	es_CL
Admission date	dc.date.accessioned	2013-07-01T21:29:16Z
Available date	dc.date.available	2013-07-01T21:29:16Z
Publication date	dc.date.issued	2006
Cita de ítem	dc.identifier.citation	Lecture Notes in Economics and Mathematical Systems Volume 563, 2006, pp 3-1	en_US
Identifier	dc.identifier.issn	0075-8442
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125792
Abstract	dc.description.abstract	We investigate the behavior at infinity of a special dissipative system, which consists of two steepest descent equations coupled by a non-autonomous conservative repulsion. The repulsion term is parametrized in time by an asymptotically vanishing factor. We show that under a simple slow parametrization assumption the limit points, if any, must satisfy an optimality condition involving the repulsion potential. Under some additional restrictive conditions, requiring in particular the equilibrium set to be one-dimensional, we obtain an asymptotic convergence result. Finally, some open problems are listed.	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	Springer	en_US
Título	dc.title	On the asymptotic behavior of a system of steepest descent equations coupled by a vanishing mutual repulsion	en_US
Document type	dc.type	Artículo de revista