EXISTENCE OF LIMIT CYCLES FOR QUADRATIC SYSTEMS WITH ONE INFINITE SINGULAR POINT
Citation:
Han Maoan.EXISTENCE OF LIMIT CYCLES FOR QUADRATIC SYSTEMS WITH ONE INFINITE SINGULAR POINT[J].Chinese Annals of Mathematics B,1989,10(2):261~271
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Authors:
Han Maoan;
Abstract:
This paper discusses the existence of limit cycles for quadratic systems with one infinite singular point. In particular, the author gives necessary and sufficient conditions for the existence of a unique limit cycle of a class of quadratic systems with an integral line under
certain conditions. As a special consequence, all the results of [6] and [7] can be implied by means of affine transformations. The method used here is much simpler than those of [6] and [7].