Eleven small limit cycles in a cubic vector field

Published under licence by IOP Publishing Ltd
, , Citation H Zoladek 1995 Nonlinearity 8 843 DOI 10.1088/0951-7715/8/5/011

0951-7715/8/5/843

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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10.1088/0951-7715/8/5/011