论文标题
lyapunov指数用于耦合标准地图的随机扰动
Lyapunov exponents for random perturbations of coupled standard maps
论文作者
论文摘要
在本文中，我们对第一个$ n $ lyapunov指数的总和进行了定量估计，以随机扰动自然级$ 2N $ 2n $尺度的量化系统，该系统在大型但非变频的相位空间集中表现出很强的超稳态。我们设置涵盖的具体模型包括“弱”和“强”耦合制度的耦合标准地图系统。
In this paper, we give a quantitative estimate for the sum of the first $N$ Lyapunov exponents for random perturbations of a natural class $2N$-dimensional volume-preserving systems exhibiting strong hyperbolicity on a large but noninvariant subset of phase space. Concrete models covered by our setting include systems of coupled standard maps, in both `weak' and `strong' coupling regimes.
