Van Horssen, W. T.; Reyn, J. W. Bifurcation of limit cycles in a particular class of quadratic systems. (English) Zbl 0815.34023 Differ. Integral Equ. 8, No. 4, 907-920 (1995). Authors’ abstract: “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 surrounding the center of the quadratic system \(\dot x=x(1-x-ay)\) and \(\dot y=y(-1+ax+y)\), where \(1<a<\infty\)”. Reviewer: C.Chicone (Columbia) Cited in 2 Documents MSC: 34C23 Bifurcation theory for ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations Keywords:bifurcation of limit cycles; quadratic system × Cite Format Result Cite Review PDF