Quadratic Morse-Smale vector fields which are not structurally stable
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- by Carmen Chicone and Douglas S. Shafer
- Proc. Amer. Math. Soc. 85 (1982), 125-134
- DOI: https://doi.org/10.1090/S0002-9939-1982-0647911-9
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Abstract:
An example is given of a quadratic system in the plane which is Morse-Smale but not structurally stable. Also, it is proved that no such example exists for a quadratic system which is a gradient.References
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Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 125-134
- MSC: Primary 58F09; Secondary 34D30
- DOI: https://doi.org/10.1090/S0002-9939-1982-0647911-9
- MathSciNet review: 647911