Linear estimate of the number of limit cycles for a class of non-linear systems

Tonghua Zhang, Moses O. Tadé and Yu-Chu Tian

Chaos, Solitons & Fractals, 2007, vol. 31, issue 4, 804-810

Abstract: A dynamic system has a finite number of limit cycles. However, finding the upper bound of the number of limit cycles is an open problem for general non-linear dynamical systems. In this paper, we investigated a class of non-linear systems under perturbations. We proved that the upper bound of the number of zeros of the related elliptic integrals of the given system is 7n+5 including multiple zeros, which also gives the upper bound of the number of limit cycles for the given system.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:4:p:804-810

DOI: 10.1016/j.chaos.2005.10.029

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