Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point
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DOI: 10.1007/s11071-019-04805-0
Abstract: In this paper, integrability problem and bifurcation of limit cycles for cubic Kukles systems which are assumed to have a nilpotent origin are investigated. A complete classification is given on the integrability conditions and proven… read more here.
Keywords: cubic kukles; kukles systems; integrability; limit cycles ... See more keywords
Integrability Conditions for Complex Homogeneous Kukles Systems
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DOI: 10.1080/14029251.2018.1494731
Abstract: In this paper we study the existence of local analytic first integrals for complex polynomial differential systems of the form ẋ = x + Pn(x, y), ẏ = −y, where Pn(x, y) is a homogeneous… read more here.
Keywords: kukles systems; conditions complex; homogeneous kukles; complex homogeneous ... See more keywords