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

Bartuccelli, MV, Deane, JHB and Gentile, G (2007) Globally and locally attractive solutions for quasi-periodic ally forced systems JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 328 (1). 699 - 714. ISSN 0022-247X


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We consider a class of differential equations, x + yx + g(x) = f(omega t), with omega is an element of R-d, describing one-dimensional 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) = x(2p+1), p is an element of 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) = x(2) (describing the varactor equation), we find that there is at least one trajectory which describes a local attractor. (c) 2006 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, dissipative systems, quasi-periodically forced systems, varactor equation, attractor, global attractivity, 2-LEVEL SYSTEMS, POTENTIALS, EQUATION
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33

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