Giesl, Peter and Wendland, Holger (2009) Approximating the basin of attraction of time-periodic ODEs by meshless collocation. Discrete and Continuous Dynamical Systems - Series A, 25 (4). pp. 1249-1274. ISSN 1078-0947

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Abstract

In this paper we study a periodic solution of a general time-periodic ordinary differential equation (ODE) and determine its basin of attraction using a time-periodic Lyapunov function. We show the existence of a Lyapunov function satisfying a certain linear partial differential equation and approximate it using meshless collocation. Therefore, we establish error estimates for the approximate reconstruction and collocation of functions [V(t,x)] which are periodic with respect to [t] .

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	Peter Giesl
Date Deposited:	06 Feb 2012 19:08
Last Modified:	13 Jun 2012 14:54
URI:	http://sro.sussex.ac.uk/id/eprint/19394

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