In this paper, we study a class of quasi-symmetric seventh degree system. By making two appropriate transformations of system (3) and calculating general focal values carefully, we obtain the conditions that the infinity and the elementary focus (-1 2 , 0) become centers at the same time. Moreover,
Center conditions and bifurcation of limit cycles for a class of fifth degree systems
โ Scribed by Wentao Huang; Yirong Liu
- Book ID
- 107500691
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2004
- Tongue
- English
- Weight
- 414 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1005-1031
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๐ SIMILAR VOLUMES
Within the class of quadratic perturbations we show analytically or numerically how many limit cycles can be bifurcated at first order out of the periodic orbits nested around the centre point in \((0,0)\) or nested around the centre point in \((0,1 / n)\) of the quadratic system \(\dot{x}=-y+n y^{2
Our researches are concerned with a class of planar general equivariant system of nine degrees. By making two appropriate transformations of system and calculating focal values carefully, we obtain the conditions that the infinity and three elementary focuses 2 ) become four general centers at the