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

✍ Scribed by W.T. Vanhorssen; R.E. Kooij

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
861 KB
Volume
114
Category
Article
ISSN
0022-0396

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✦ Synopsis

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}, \dot{y}=x-x y) with (0<n<1). O 1994 Academic Press, Inc.

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