Limit cycles for 3-monomial differential equations

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Resum

© 2015 Elsevier Inc. We study planar polynomial differential equations that in complex coordinates write as z ˙=Az+Bzkz-l+Czmz-n. We prove that for each p∈N there are differential equations of this type having at least p limit cycles. Moreover, for the particular case z ˙=Az+Bz-+Czmz-n, which has homogeneous nonlinearities, we show examples with several limit cycles and give a condition that ensures uniqueness and hyperbolicity of the limit cycle.
Idioma originalAnglès
Pàgines (de-a)735-749
RevistaJournal of Mathematical Analysis and Applications
Volum428
Número2
DOIs
Estat de la publicacióPublicada - 1 de gen. 2015

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