Giesl, Peter and Rasmussen, Martin (2012) Areas of attraction for nonautonomous differential equations on finite time intervals. Journal of Mathematical Analysis and Applications, 390 (1). pp. 27-46. ISSN 0022-247X

Full text not available from this repository.

Abstract

In this article, new concepts of (exponential) attractivity for nonautonomous differential equations on a finite time interval are introduced. Due to nonuniqueness of finite- time objects, areas of attraction are studied rather than solutions which are attractive. A sufficient and necessary condition for the existence of such areas is presented, which makes use of a time-varying Riemannian metric. Several examples illustrate the theoretical results and definitions.

Item Type:	Article
Keywords:	Nonautonomous differential equation Finite-time dynamics Attractivity Domain of attraction Area of attraction Borg’s criterion
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics
Depositing User:	Peter Giesl
Date Deposited:	16 Jun 2015 16:50
Last Modified:	16 Jun 2015 16:50
URI:	http://srodev.sussex.ac.uk/id/eprint/54585

📧 Request an update