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Approximating Limit Cycles of a Van der Pol Equation with Delay

Published

Author(s)

David E. Gilsinn

Abstract

In this paper a theorem of Stokes is used to establish the existence of a periodic solution of a Van der Pol equation with fixed delay in the neighborhood of an approximating solution that satisfies a certain noncriticality condition.
Proceedings Title
Proceedings of Dynamic Systems and Applications 4 (2004)
Conference Dates
May 21-24, 2003
Conference Location
Atlanta, GA

Keywords

adjoint equation, characteristic multiplier, delay differential equation, noncritical solution, Van der Pol equation, variational equation

Citation

Gilsinn, D. (2004), Approximating Limit Cycles of a Van der Pol Equation with Delay, Proceedings of Dynamic Systems and Applications 4 (2004), Atlanta, GA, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50684 (Accessed April 17, 2024)
Created January 15, 2004, Updated June 2, 2021