Iliya D Iliev et al 2005 Nonlinearity 18 305 doi:10.1088/0951-7715/18/1/016
Iliya D Iliev1, Chengzhi Li2 and Jiang Yu3
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We investigate the bifurcations of limit cycles in a class of planar quadratic integrable (non-Hamiltonian) systems with two centres, both surrounded by unbounded heteroclinic loops, under small quadratic perturbations. By a careful study of the number of zeros of Abelian integrals based on the geometric properties of some planar curves, defined by ratios of such integrals, we obtain complete results about the number and the distribution of limit cycles bifurcating from the two period annuli.
Issue 1 (January 2005)
Received 29 April 2004
Published 15 October 2004
Iliya D Iliev et al 2005 Nonlinearity 18 305
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