N-dimensional zero-hopf bifurcation of polynomial differential systems via averaging theory of second order
Kassa, Sara (University of Annaba. Department of Mathematics (Algeria))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))

Date:	2020
Abstract:	Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in ℝn. We prove that there are at least 3n-2 limit cycles bifurcating from such zero-Hopf equilibrium points. Moreover, we provide an example in dimension 6 showing that this number of limit cycles is reached.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Hopf bifurcation ; Averaging theory ; Cubic polynomial differential systems
Published in:	Journal of Dynamical and Control Systems, vol. 27 (June 2020) p. 283-291, ISSN 1573-8698

DOI: 10.1007/s10883-020-09501-6

Postprint 8 p, 690.4 KB

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