High-frequency chaotic solutions for a slowly varying dynamical system

Author	dc.contributor.author	Felmer Aichele, Patricio	es_CL
Author	dc.contributor.author	Martínez Salazar, Salomé	es_CL
Author	dc.contributor.author	Tanaka, Kazunaga
Admission date	dc.date.accessioned	2009-04-01T17:17:07Z
Available date	dc.date.available	2009-04-01T17:17:07Z
Publication date	dc.date.issued	2006-04
Cita de ítem	dc.identifier.citation	ERGODIC THEORY AND DYNAMICAL SYSTEMS Volume: 26 Pages: 379-407 Part: Part 2 Published: APR 2006	en
Identifier	dc.identifier.issn	0143-3857
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124855
Abstract	dc.description.abstract	In this article we study the asymptotic dynamics of highly oscillatory solutions for the unbalanced Allen-Cahn equation with a slowly varying coefficient. We describe the underlying structure of these solutions through a function we call the adiabatic profile, which accounts for the asymptotic area covered by the Solutions in the phase space. In finite intervals, we construct solutions given any adiabatic profile. In the case of a periodic coefficient we show that the system has chaotic behavior by constructing high-frequency complex solutions which can be characterized by a bi-infinite sequence of real numbers in [c(1), c(2)] boolean OR {0} (0 < c(1) < c(2)).	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	CAMBRIDGE UNIV PRESS	en
Keywords	dc.subject	PHASE-TRANSITION PROBLEM	en
Título	dc.title	High-frequency chaotic solutions for a slowly varying dynamical system	en
Document type	dc.type	Artículo de revista