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A Unified Study on the Cyclicity of Period Annulus of the Reversible Quadratic Hamiltonian Systems

โœ Scribed by Chengzhi Li; Jaume Llibre

Publisher
Springer US
Year
2004
Tongue
English
Weight
230 KB
Volume
16
Category
Article
ISSN
1040-7294

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๐Ÿ“œ SIMILAR VOLUMES

The Cyclicity of the Period Annulus of t
The Cyclicity of the Period Annulus of the Quadratic Hamiltonian Triangle
โœ Iliya D. Iliev ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 499 KB

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.

A quantitative study on the stability of
A quantitative study on the stability of quadratic delay difference systems
โœ S.S. Shen; Shunian Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 746 KB

This paper estimates the size of the stability region around zero for quadratic delay difference systems. When the initial disturbance is in the asymptotic stability region, the solution of the initial value problem of the quadratic delay difference system approaches zero. Examples are given for a t