论文标题
在太阳和恒星的光线
Periodic Center Manifolds for DDEs in the Light of Suns and Stars
论文作者
论文摘要
在本文中，我们通过使用Lyapunov-Perron方法证明了在经典延迟微分方程中的非遗传延迟循环附近的周期性平滑有限维中心歧管的存在。结果基于双半群（Sun-Star conculus）的严格功能分析扰动框架。双重扰动框架的一般性表明，结果扩展到更广泛的进化方程。
In this paper we prove the existence of a periodic smooth finite-dimensional center manifold near a nonhyperbolic cycle in classical delay differential equations by using the Lyapunov-Perron method. The results are based on the rigorous functional analytic perturbation framework for dual semigroups (sun-star calculus). The generality of the dual perturbation framework shows that the results extend to a much broader class of evolution equations.
