𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-existence of limit cycles for a quadratic system in class II

✍ Scribed by J.W. Reyn

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
112 KB
Volume
50
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A criterion for the existence of four li
A criterion for the existence of four limit cycles in quadratic systems
✍ G.A. Leonov πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 311 KB

A method for the asymptotic integration of the trajectories is proposed for the LiΓ©nard equation. The results obtained by this method are used to prove the existence of two "large" limit cycles in quadratic systems with a weak focus. The application of standard procedures of small perturbations of t

Separatrix Cycles and Multiple Limit Cyc
Separatrix Cycles and Multiple Limit Cycles in a Class of Quadratic Systems
✍ A. Zegeling πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 994 KB

In this paper a class of quadratic systems is studied. By quadratic systems we mean autonomous quadratic vector fields in the plane. The class under consideration is class \(\mathrm{II}_{n=0}\) in the Chinese classification of quadratic systems. Bifurcation sets \(\delta=\delta^{*}(l, m)(m>2, l>0)\)

Bifurcation of Limit Cycles in a Particu
Bifurcation of Limit Cycles in a Particular Class of Quadratic Systems with Two Centers
✍ W.T. Vanhorssen; R.E. Kooij πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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