Bulletin of the American Mathematical Society

MathSciNet review: 1567630
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Book Information:

Authors: Ye Yan-qian, Cai Sui-lin, Chen Lan-sun, Huang Ke-cheng, Luo Ding-jun, Ma Zhi-en, Wang Er-nian, Wang Ming-shu and Yang Xin-an
Title: Theory of limit cycles
Additional book information: translated by Chi Y. Lo. Translations of Mathematical Monographs, Vol. 66, American Mathematical Society, Providence, R. I., 1986, xi + 435 pp.,$140.00. ISBN 0-8218-4518-7.

1.

A. A. Andronov, Les cycles de Poincaré et la théorie des oscillations auto-entretenues, C. R. Acad. Sci. Paris 189 (1929), 559-561.

H. Dulac, Sur les cycles limites, Bull. Soc. Math. France 51 (1923), 45–188 (French). MR 1504823

Lawrence Markus, Quadratic differential equations and non-associative algebras, Contributions to the theory of nonlinear oscillations, Vol. V, Princeton Univ. Press, Princeton, N.J., 1960, pp. 185–213. MR 0132743

4.

H. Poincaré, Mémoire sur les courbes définies par une équation différentielle. I, II, J. Math. Pures Appl. 7 (1881), 375-422 and 8 (1882), 251-296.

Song Ling Shi, A concrete example of the existence of four limit cycles for plane quadratic systems, Sci. Sinica 23 (1980), no. 2, 153–158. MR 574405

6.

B. van der Pol, On relaxation-oscillations, Philos. Magazine 2 (1926), 978-992.

1.

A. A. Andronov, Les cycles de Poincaré et la théorie des oscillations auto-entretenues, C. R. Acad. Sci. Paris 189 (1929), 559-561.

2.

H. Dulac, Sur les cycles limites, Bull. Soc. Math. France 51 (1923), 45-188. MR 1504823

3.

L. Markus, Quadratic differential equations and non-associative algebras, Contributions to the Theory of Nonlinear Oscillations (S. Lefschetz et al., eds.), Ann. of Math. Studies, no. 45, Princeton Univ. Press, Princeton, New Jersey, 1960. MR 132743

4.

H. Poincaré, Mémoire sur les courbes définies par une équation différentielle. I, II, J. Math. Pures Appl. 7 (1881), 375-422 and 8 (1882), 251-296.

5.

Shi Song-ling, A concrete example of the existence of four limit cycles for plane quadratic systems, Sci. Sinica 23 (1980), 153-158. MR 574405

6.

B. van der Pol, On relaxation-oscillations, Philos. Magazine 2 (1926), 978-992.