๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Center conditions and bifurcation of limit cycles for a class of fifth degree systems

โœ 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

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


General center conditions and bifurcatio
โœ Chaoxiong Du; Yirong Liu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 770 KB

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,

Bifurcation of Limit Cycles in a Particu
โœ W.T. Vanhorssen; R.E. Kooij ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 861 KB

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

The problem of general center-focus and
โœ Chaoxiong Du; Yirong Liu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1023 KB

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