In this paper, we investigate the quadratic Hamiltonian systems with non-Morsean point. It is proved that in this situation the cyclicity of the period annulus under quadratic perturbations is equal to two.
The Cyclicity of the Period Annulus of the Quadratic Hamiltonian Triangle
β Scribed by Iliya D. Iliev
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 499 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0022-0396
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β¦ Synopsis
The paper studies quadratic Hamiltonian centers surrounded by a separatrix contour having a form of a triangle. It is proved that in this situation the cyclicity of the period annulus under quadratic perturbations is equal to three.
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