论文标题
关于通过阴影找到非物理解决方案的概率
On the probability of finding a nonphysical solution through shadowing
论文作者
论文摘要
本文证明，阴影解决方案几乎可以肯定是非物理的。这一发现无效，即混沌系统中的小扰动只能对其统计行为产生小小的影响。这一理论发现对混乱力学起着重要作用的许多应用具有影响。例如，它表明我们可以通过微妙的扰动来控制气候。这也表明，混沌动力学（例如湍流）的数值模拟可能无法预测真实的长期或统计行为。
This paper proves that shadowing solutions can be almost surely nonphysical. This finding invalidates the argument that small perturbations in a chaotic system can only have a small impact on its statistical behavior. This theoretical finding has implications for many applications in which chaotic mechanics plays an important role. It suggests, for example, that we can control the climate through subtle perturbations. It also suggests that numerical simulations of chaotic dynamics, such as turbulent flows, may fail to predict the true long-term or statistical behavior.
