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.
β¦ LIBER β¦
The Cyclicity of the Period Annulus of the Quadratic Hamiltonian Systems with Non-Morsean Point
β Scribed by Yulin Zhao; Zhaojun Liang; Gang Lu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 276 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-0396
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β¦ Synopsis
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.
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