On stable manifolds for planar fractional differential equations

On stable manifolds for planar fractional differential equations
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平面分数阶微分方程的稳定流形

DOI:
10.1016/j.amc.2013.10.010
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发表时间:
2014
影响因子:
4
通讯作者:
Cong N
Cong N
中科院分区:
数学2区
文献类型:
--
作者:
Cong N

文献摘要

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本文建立了平面分数阶微分方程在双曲平衡点附近的一个局部稳定流形定理。该稳定流形的构造基于相关的李雅普诺夫-佩龙算子。给出了一个示例来说明结果。
In this paper, we establish a local stable manifold theorem near a hyperbolic equilibrium point for planar fractional differential equations. The construction of this stable manifold is based on the associated Lyapunov–Perron operator. An example is provided to illustrate the result.