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Pàgina inicial > Articles > Articles publicats > N-dimensional zero-hopf bifurcation of polynomial differential systems via averaging theory of second order |
Data: | 2020 |
Resum: | 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. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Hopf bifurcation ; Averaging theory ; Cubic polynomial differential systems |
Publicat a: | Journal of Dynamical and Control Systems, vol. 27 (June 2020) p. 283-291, ISSN 1573-8698 |
Postprint 8 p, 690.4 KB |