Quadratic systems with maximum number of limit cycles

Differential Equations

Volumn 45, Issue 10, 2009, Pages 1440-1450

  Cherkas, L A ^a  

^a BELARUSIAN STATE UNIVERSITY OF INFORMATICS AND RADIOELECTRONICS   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 74549181025     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0012266109100061     Document Type: Article

References (10)

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2. Zegeling, A. and Koojj, R. E., The Distribution of Limit Cycles in Quadratic Systems with Four Finite Singularities, J. Differential Equations, 1999, vol. 151, pp. 373-385.
3. Zegeling, A. and Koojj, R. E., Limit Cycles in Quadratic Systems with a Weak Focus and a Strong Focus, Kunggpook Math. J., 1998, vol. 38, pp. 323-340.
4. Zhang Pingguang, On the Distribution and Number of Limit Cycles for Quadratic Systems with Two Focus, Acta Math. Sinica, 2001, vol. 44, pp. 37-44.
5. Perko, L. M., Limit Cycles of Quadratic Systems in the Plane, Rocky Mountain J. Math., 1984, vol. 14, pp. 619-644.
6. Cherkas, L. A., Artes, J. C., and Llibre, J., Quadratic Systems with Limit Cycles of Normal Size, Bul. Acad. Stiinte Repub. Mold. Mat., 2003, vol. 41, no. 1, pp. 31-46.
7. Cherkas, L. A., The Dulac Function for Polynomial Autonomous Systems on a Plane, Differ. Uravn., 1997, vol. 33, no. 5, pp. 689-699.
8. Grin', A. A. and Cherkas, L. A., The Dulac Function for the Lienard System, Tr. Inst. Mat. NAN Belarusi, 2000, vol. 4, pp. 29-38.
9. Cherkas, L. A., On an Estimate for the Number of Limit Cycles of a Quadratic System, Differ. Uravn., 2007, vol. 43, no. 5, pp. 577-588.
10. Cherkas, L. A. and Shevtsov, I. L., Normal-Sized Limit Cycles of Quadratic Systems with a Structurally Unstable Focus, Differ. Uravn., 2004, vol. 40, no. 8, pp. 1076-1084.