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On the limit cycles of a class of piecewise linear differential systems in with two zones

โœ Scribed by C.A. Buzzi; J. Llibre; J.C. Medrado


Book ID
113784809
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
174 KB
Volume
82
Category
Article
ISSN
0378-4754

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Bifurcation of Limit Cycles in a Particu
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