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 original | Anglès |
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Pàgines (de-a) | 735-749 |
Revista | Journal of Mathematical Analysis and Applications |
Volum | 428 |
Número | 2 |
DOIs | |
Estat de la publicació | Publicada - 1 de gen. 2015 |