๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Example of a quadratic system with two cycles appearing in a homoclinic loop bifurcation

โœ Scribed by Christiane Rousseau

Book ID
107792118
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
511 KB
Volume
66
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Bifurcation of Limit Cycles in a Particu
Bifurcation of Limit Cycles in a Particular Class of Quadratic Systems with Two Centers
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