Cr随机中心流形定理

C γ Stochastic Center Manifold Theory

随机中心流形定理在非线性随机分叉理论的研究中具有关键作用。本文对Ｃｒ非线性随机系统给出Ｃｒ中心流形的存在性定理，并讨论了中心流形的稳定性及例子。

Stochastic center manifold theory is one of the fundamental of stochastic bifurcation. The stochastic center manifold will justify focusing mainly onto low dimensional problems and tell us how to reduce higher dimensional systems. gave center manifold theory for random cocycle of c diffeomorphisms, made the existence of center manifold theory on the level of random vector fields. This paper proved the existence of c γ center manifold and gives reduction principle, an example is illustrated for approximation.