University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Globally and locally attractive solutions for quasi-periodic ally forced systems

Bartuccelli, Michele, Deane, Jonathan and Gentile, G (2007) Globally and locally attractive solutions for quasi-periodic ally forced systems JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 328 (1). pp. 699-714.


Download (173kB)


We consider a class of differential equations, x¨ + γ x˙ + g(x) = f (ωt), with ω ∈ Rd , describing onedimensional dissipative systems subject to a periodic or quasi-periodic (Diophantine) forcing. We study existence and properties of trajectories with the same quasi-periodicity as the forcing. For g(x) = x2p+1, p ∈ N, we show that, when the dissipation coefficient is large enough, there is only one such trajectory and that it describes a global attractor. In the case of more general nonlinearities, including g(x) = x2 (describing the varactor equation), we find that there is at least one trajectory which describes a local attractor.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Gentile, G
Date : 1 April 2007
DOI : 10.1016/j.jmaa.2006.05.055
Copyright Disclaimer : © 2007. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Uncontrolled Keywords : Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, MATHEMATICS, MATHEMATICS, APPLIED, dissipative systems, quasi-periodically forced systems, varactor equation, attractor, global attractivity, 2-LEVEL SYSTEMS, POTENTIALS, EQUATION
Related URLs :
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:41
Last Modified : 16 Jan 2019 16:22

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800