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The cyclicity of period annuli of a class of quadratic reversible systems with two centers

✍ Scribed by Changjian Liu


Book ID
113699388
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
217 KB
Volume
252
Category
Article
ISSN
0022-0396

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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