论文标题
平均时间与时间相关的扰动参数
Averaging with a time-dependent perturbation parameter
论文作者
论文摘要
由最新的数学宇宙学问题进行的，其中应用时间平均方法是为了分析表现出振荡行为的模型的未来渐近学，我们提供了有关通用系统解决方案的大型时间行为的定理。因此，我们建议我们的结果适用于具有振荡行为的空间同质宇宙学中的广泛问题。从数学上讲，定理建立在非线性动力学系统中平均的标准理论上。
Motivated by recent problems in mathematical cosmology, in which temporal averaging methods are applied in order to analyze the future asymptotics of models which exhibit oscillatory behavior, we provide a theorem concerning the large-time behavior for solutions of a general class of systems. We thus propose our result to be applicable to a wide range of problems in spatially homogenous cosmology with oscillatory behavior. Mathematically the theorem builds upon the standard theory of averaging in non-linear dynamical systems.
