论文标题
为什么逃脱比预期的要快
Why Escape Is Faster Than Expected
论文作者
论文摘要
我们认为具有生成马尔可夫分区的混乱（双曲线）动力学系统。然后，通过将马尔可夫分区的一个元素作为轨道逃脱的孔来构建开放的动力系统。我们比较了逃生速率的各种估计值，这与整个相空间中泄漏的物理情况相对应。此外，我们发现了逃逸率比预期快的原因，这是定义逃逸率的函数的凸度。偏斜的帐篷地图和阿诺德的猫地图存在精确的计算。
We consider chaotic (hyperbolic) dynamical systems which have a generating Markov partition. Then, open dynamical systems are built by making one element of a Markov partition a hole through which orbits escape. We compare various estimates of the escape rate which correspond to a physical picture of leaking in the entire phase space. Moreover, we uncover a reason why the escape rate is faster than expected, which is the convexity of the function defining escape rate. Exact computations are present for the skewed tent map and Arnold's cat map.
