Centres and limit cycles for an extended Kukles system

Joe M. Hill, Noel G. Lloyd, Jane M. Pearson

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We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci and the simultaneous bifurcation of limit cycles from them.
Original languageEnglish
Article number119
Pages (from-to)1-23
Number of pages23
JournalElectronic Journal of Differential Equations
Publication statusPublished - 2007


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