Abstract
We present an example of a cubic planar vector field with a centre from which eleven small-amplitude limit cycles bifurcate after suitable cubic perturbation. Previous examples gave at most eight limit cycles.
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H Zoladek1
Published under licence by IOP Publishing Ltd
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Citation H Zoladek 1995 Nonlinearity 8 843
DOI 10.1088/0951-7715/8/5/011
218 Total downloads
We present an example of a cubic planar vector field with a centre from which eleven small-amplitude limit cycles bifurcate after suitable cubic perturbation. Previous examples gave at most eight limit cycles.