On the reducibility of a nonlinear periodic system with degenerate equilibrium

Jianli Liang; Longkun Tang

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On the reducibility of a nonlinear periodic system with degenerate equilibrium

机译：具有退化退化的非线性周期系统的可约性

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In this paper, we prove the reducibility of a class of nonlinear periodic differential equation with degenerate equilibrium point under small perturbations, and obtain a periodic solution near the equilibrium point. The result is new and more general, including that of the paper [X. Lu and J. Xu, On small perturbations of a nonlinear periodic system with degenerate equilibrium, Nonlinear Differ. Equ. Appl.21 (2014), pp. 361-370].

机译：本文证明了一类具有退化平衡点的非线性周期微分方程在小扰动下的可约性，并在平衡点附近获得了一个周期解。结果是新的，更笼统的，包括论文的结果[十。陆和徐旭，关于具有退化平衡的非线性周期系统的小扰动，非线性差分。等式Appl.21（2014），第361-370页]。

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《Dynamical Systems》 |2018年第2期|239-252|共14页
作者
Jianli Liang; Longkun Tang;
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作者单位

School of Mathematical Sciences, Huaqiao University, Quanzhou, P. R. China;

School of Mathematical Sciences, Huaqiao University, Quanzhou, P. R. China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
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On the reducibility of a nonlinear periodic system with degenerate equilibrium

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