论文标题
反波动的随机行走在时间延迟的系统中
Anti-persistent random walks in time-delayed systems
论文作者
论文摘要
我们表明，在具有线性瞬时和非线性延迟项的典型一类时系统中，混沌扩散的发生可以通过反抗性随机行走来很好地描述。我们从数值上研究了所有相关数量的依赖性，这些数量表征了随机行走对非线性强度和延迟的强度的依赖性。借助分析考虑，我们表明，对于降低非线性参数，扩散系数的依赖性通过增加阶的马尔可夫过程很好地描述了。
We show that the occurrence of chaotic diffusion in a typical class of time-delayed systems with linear instantaneous and nonlinear delayed term can be well described by an anti-persistent random walk. We numerically investigate the dependence of all relevant quantities characterizing the random walk on the strength of the nonlinearity and on the delay. With the help of analytical considerations, we show that for a decreasing nonlinearity parameter the resulting dependence of the diffusion coefficient is well described by Markov processes of increasing order.
