Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks
Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks
复制标题
大象和阿尔茨海默随机游走的解析公式、精确解和概括
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
V. M. Kenkre
中科院分区：
文献类型：
--
作者：
V. M. Kenkre
最近引入的具有记忆的随机游走的分析公式[Cressoni等人，物理修订信函98，070603（2007）和乌茨和Trimper，Phys.Rev.E70，045101（2004）]中关于阿尔茨海默氏症行为和相关现象的描述，沿着提供了基于Fokker-Planck方程的精确解。的延迟微分方程的解导出的目的是产生对数周期振荡，而准确地与以前发表的计算机模拟结果相吻合。在此基础上，还构造了沿着几个方向的推广.
An analytic formulation of memory-possessing random walks introduced recently [Cressoni et al., Phys. Rev. Lett. 98, 070603 (2007) and Sch\"utz and Trimper, Phys. Rev. E 70, 045101 (2004)] for Alzheimer behavior and related phenomena is provided along with exact solutions on the basis of Fokker-Planck equations. The solution of a delay-differential equation derived for the purpose is shown to produce log-periodic oscillations and to coincide rather accurately with previously published computer simulation results. Generalizations along several directions are also constructed on the basis of the formalism.