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CENTER PROBLEM FOR THIRD-ORDER ODEs
International Journal of Bifurcation and Chaos ( IF 1.9 ) Pub Date : 2013-06-07 , DOI: 10.1142/s0218127413500788
Adam Mahdi 1
Affiliation  

We obtain necessary and sufficient conditions for the existence of a center on a local center manifold for three 4-parameter families of quadratic systems on ℝ3. We also give a positive answer to an open question posed in [Dias & Mello, 2010] related to similar systems.

中文翻译:

三阶 ODE 的中心问题

对于 ℝ 上的三个 4 参数二次系统族,我们获得了局部中心流形上存在中心的充分必要条件3. 我们还对 [Dias & Mello, 2010] 中提出的与类似系统相关的开放性问题给出了肯定的回答。
更新日期:2013-06-07
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