On the existence of limit cycles for an autonomous system

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  • N. Lungu Polytechnic Institute, Cluj-Napoca, Romania
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References

Blows, T. R., Lloyd, N. G.. The number of small-amplitude limit cycles of Liénard equations. Math. Proc. Cambridge Philos. Soc. 95 (1984), no. 2, 359-366, MR0735378, https://doi.org/10.1017/s0305004100061636

Blows, T. R., Lloyd, N. G., The number of limit cycles of certain polynomial differential equations. Proc. Roy. Soc. Edinburgh Sect. A 98 (1984), no. 3-4, 215-239, MR0768345, https://doi.org/10.1017/s030821050001341x

Denisov, V. S., Limit cycles of an autonomous system. (Russian) Differentsial'nye Uravneniya 15 (1979), no. 9, 1572-1579, 1723, MR0548232.

Lungu, N., Mureşan, M., On the number of the limit cycles of certain generalized Liénard systems of differential equations. Seminar on mathematical analysis (Cluj-Napoca, 1985), 59-64, Preprint, 85-7, Univ. "Babeş-Bolyai", Cluj-Napoca, 1985, MR0833768.

Lungu N., Mureşan, M., On the Number of Small-amplitude Limit Cycles of Liénard Type Systems of Differential Equations, Research Seminaries, Babeş-Bolyai University, Faculty of Mathematics, preprint No9, 15-26, 1985.

Zhilevich, L.I., On the Existence Conditions of Limit Cycles for a System of Differential Equations, Dokl, AN BSSR, T XXIII, No.6, 495-498, 1979 (Russ).

Zhilevich, L.I., On the Existence and Distribution of Limit Cycles for an Autonomous Systems, Diff. Urav. T. XXI, No. 6, 1079-1081, 1985 (Russ).

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Published

1986-08-01

How to Cite

Lungu, N. (1986). On the existence of limit cycles for an autonomous system. Anal. Numér. Théor. Approx., 15(2), 141–144. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1986-vol15-no2-art7

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Vol. 15 No. 2 (1986)

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