๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Bifurcation of limit cycles from a two-dimensional center inside

โœ Scribed by Jaume Llibre; Amar Makhlouf


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
385 KB
Volume
72
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Bifurcation of Limit Cycles from Quadrat
โœ D.S. Shafer; A. Zegeling ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 837 KB

Bifurcation of limit cycles from the class \(Q_{3}^{N H}\) of quadratic systems possessing centers is investigated. Bifurcation diagrams for various systems in this class are constructed, and are used to locate systems possessing a period annulus whose closure has cyclicity three. "1995 Acidenic Pre

Limit cycles bifurcate from centers of d
โœ Xingwu Chen; Zhengdong Du ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 391 KB

a b s t r a c t Like for smooth quadratic systems, it is important to determine the maximum order of a fine focus and the cyclicity of discontinuous quadratic systems. Previously, examples of discontinuous quadratic systems with five limit cycles bifurcated from a fine focus of order 5 have been con

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

Bifurcation of limit cycles from a heter
โœ Xianbo Sun; Maoan Han; Junmin Yang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 584 KB

In this article, we study the expansion of the first Melnikov function of a near-Hamiltonian system near a heteroclinic loop with a cusp and a saddle or two cusps, obtaining formulas to compute the first coefficients of the expansion. Then we use the results to study the problem of limit cycle bifur

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,