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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
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Official URL: http://dx.doi.org/10.1016/j.jmaa.2011.12.051
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 |
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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 |