A class of planar quadratic vector fields with a limit cycle surrounded by a saddle loop
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- by Rodrigo Bamón
- Proc. Amer. Math. Soc. 88 (1983), 719-724
- DOI: https://doi.org/10.1090/S0002-9939-1983-0702307-7
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Abstract:
Examples of planar quadratic vector fields with a limit cycle surrounded by a saddle loop are given by means of deformations of Hamiltonian vector fields.References
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- Carmen Chicone and Douglas S. Shafer, Separatrix and limit cycles of quadratic systems and Dulac’s theorem, Trans. Amer. Math. Soc. 278 (1983), no. 2, 585–612. MR 701513, DOI 10.1090/S0002-9947-1983-0701513-X
- Carmen Chicone and Jing Huang Tian, On general properties of quadratic systems, Amer. Math. Monthly 89 (1982), no. 3, 167–178. MR 645790, DOI 10.2307/2320199 J. Sotomayor, Estabilidade estrutural de primeira ordem e variedades de Banach, Thesis, IMPA, Brazil, 1964.
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 719-724
- MSC: Primary 58F21; Secondary 34C05
- DOI: https://doi.org/10.1090/S0002-9939-1983-0702307-7
- MathSciNet review: 702307