Estimating Limit Cycle Bifurcations from Centers

Author:

Christopher Colin

Publisher

Birkhäuser-Verlag

Reference18 articles.

1. N. N. Bautin, On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type. Amer. Math. Soc. Translation 100 (1954), 19 pp.

2. C. Christopher, An algebraic approach to the classification of centers in polynomial Liénard systems, J. Math. Anal. Appl. 229no. 1 (1999), 319–329.

3. C. Christopher and S. Lynch, Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces. Nonlinearity 12no. 4 (1999), 1099–1112.

4. C. Christopher and N. G. Lloyd, Polynomial systems: a lower bound for the Hilbert numbers. Proc. Roy. Soc. London Ser. A 450no. 1938 (1995), 219–224.

5. G.-M. Greuel, G. Pfister, and H. Schönemann, Singular 2.0.3: A Computer Algebra System for Polynomial Computations. Centre for Computer Algebra, University of Kaiserslautern (2001). http://www.singular.uni-kl.de.

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