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Four-dimensional Zero-Hopf Bifurcation of Quadratic Polynomial Differential System, via Averaging Theory of Third Order
Journal of Dynamical and Control Systems ( IF 0.9 ) Pub Date : 2021-06-30 , DOI: 10.1007/s10883-020-09528-9 Djamila Djedid , El Ouahma Bendib , Amar Makhlouf
中文翻译:
基于三阶平均理论的二次多项式微分系统的四维零霍普夫分岔
更新日期:2021-06-30
Journal of Dynamical and Control Systems ( IF 0.9 ) Pub Date : 2021-06-30 , DOI: 10.1007/s10883-020-09528-9 Djamila Djedid , El Ouahma Bendib , Amar Makhlouf
This article concerns the zero-Hopf bifurcation of a quadratic polynomial differential system in \(\mathbb {R}^{4}\). By using the averaging theory of third order, we provide that at most 25 limit cycles can bifurcate from one singularity with eigenvalues of the form ± bi, 0 and 0.
中文翻译:
基于三阶平均理论的二次多项式微分系统的四维零霍普夫分岔
本文涉及\(\mathbb {R}^{4}\) 中二次多项式微分系统的零霍普夫分岔。通过使用三阶的平均理论,我们提供了至多25个极限环可以从一个奇点分叉与表单±特征值b我,0和0。