Small-amplitude limit cycles in polynomial Liénard systems

Nonlinear Differential Equations and Applications

Volumn 3, Issue 2, 1996, Pages 183-190

  Christopher, Colin J ^a   Lloyd, Noel G ^b  

^a BOGAZICI UNIVERSITY   (Turkey)

^b ABERYSTWYTH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000151758     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01195913     Document Type: Article

References (15)

1. T. BLOWS, N. G. LLOYD, The number of small-amplitude limit cycles of Liénard equations, Math. Proc. Cambridge Philos. Soc. 95, 359-366 (1984)
2. 2, Differensialnye Uravneniya 8, 1104-1107 (1972)
3. L. A. CHERKAS, Conditions for a Liénard equation to have a centre, Differensialnye Uravneniya 12, 201-206 (1976)
4. RUI J. P. de FIGUEIREDO, On the existence of N periodic solutions of Liénard's equation, Nonlinear Analysis 7, 483-499 (1983)
5. A. LINS, W. De MELO, C. C. PUGH, On Liénard's equation, Geometry and Topology (Rio de Janeiro 1976), Lecture Notes on Mathematics 596, Springer Verlag, 335-357 (1977)
6. N. G. LLOYD, Liénard systems with several limit cycles, Math. Proc. Cambridge Philos. Soc. 102, 565-572 (1987)
7. N. G. LLOYD, Limit cycles of polynomial systems - some recent developments, New Directions in Dynamical Systems (eds. Bedford and Swift), LMS Lecture Notes 127, Cambridge University Press, 192-234 (1988)
8. N. G. LLOYD, T. R. BLOWS, M. C. KALENGE, Some cubic systems with several limit cycles, Nonlinearity 1, 653-669 (1988)
9. N. G. LLOYD, S. LYNCH, Small amplitude limit cycles of certain Liénard systems, Proc. Roy. Soc. London, Ser. A 418, 199-208 (1988)
10. N. G. LLOYD, J. M. PEARSON, REDUCE and the bifurcation of limit cycles, J. Symbolic Computation 9, 215-224 (1990).
11. N. G. LLOYD, J. M. PEARSON, Computing centre conditions for certain cubic systems, J. Comp. Appl. Math. 323-336 (1992)
12. S. LYNCH, Small-amplitude limit cycles of Liénard systems, Calcolo 27, 1-32 (1990)
13. J. M. PEARSON, Hilbert's sixteenth problem: an approach using Computer Algebra, PhD Dissertation, University of Wales, Aberystwyth, 1992
14. S. SAKATA, On the existence of periodic solutions of a Liénard system, Funkcialaj Ekvacioj 37, 155-174 (1994)
15. ZHANG ZHI-FEN, DING TONG-REN, HUANG WEN-ZAO, DONG ZHEN-XI, Qualitative Theory of Differential Equations, Trans. Math. Monographs, Vol.101, Amer. Math. Soc., Providence, R.I., 1992