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Book Review
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Book Information
Author(s):
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
References:
- 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.
Additional Information:
Reviewer(s):
Allen
Tannenbaum
Review Information:
Journal:
Bull. Amer. Math. Soc.
17
(1987),
178-180.
DOI:
10.1090/S0273-0979-1987-15554-6
PII:
S 0273-0979(1987)15554-6
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