Limit cycles in a Liénard system with a cusp and a nilpotent saddle of order 7

R. Asheghi and A. Bakhshalizadeh

Chaos, Solitons & Fractals, 2015, vol. 73, issue C, 120-128

Abstract: In this paper, we first give the topological classification of level curves for a special Liénard system. Then we study the number of limit cycles of some polynomial Liénard systems with a cuspidal loop surrounded by a loop that is connected (homoclinic) to a nilpotent saddle. We prove that H(5,6)⩾9,H(6,6)⩾10 and H(7,6)⩾11, where H(m,n) is the maximal number of limit cycles in a Liénard system of type (m,n).

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:73:y:2015:i:c:p:120-128

DOI: 10.1016/j.chaos.2015.01.009

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