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Limit cycles in Kukles systems of arbitrary degree with invariant ellipse

✍ Scribed by J. Chavarriga; I.A. García; E. Sáez; I. Szántó


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
466 KB
Volume
67
Category
Article
ISSN
0362-546X

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Bifurcation of Limit Cycles in a Particu
✍ W.T. Vanhorssen; R.E. Kooij 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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