Invariant sets for the varactor equation-Reference-Cited by-同舟云学术

Invariant sets for the varactor equation

Published:2005-12-06 Issue:2066 Volume:462 Page:439-457
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Bartuccelli M.V¹,Deane J.H.B¹,Gentile G²,Marsh L¹

Affiliation:

1. Department of Mathematics and Statistics, University of SurreyGuildford GU2 7XH, UK

2. Dipartimento di Matematica, Università di Roma TreRoma 00146, Italy

Abstract

The differential equation

with f ( t ) positive, periodic and continuous is studied. After describing some physical applications of this equation, we construct a variety of invariant sets for it, thereby partitioning the phase plane into regions in which solutions grow without bound and also those in which bounded periodic solutions exist.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2005.1569

Reference9 articles.

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