复杂生物系统混沌识别的一种新方法
A novel procedure for the identification of chaos in complex biological systems
摘要：
我们证明了混沌的存在，被广泛用于研究自然界中的生物多样性的随机模拟。调查涉及一组三个不同的物种，根据标准规则的流动性，繁殖和捕食，捕食遵循流行的石头，剪刀和布游戏的循环规则。该研究揭示了区分从略有不同的初始状态开始的时间演化的可能性，由汉明距离指导，该距离揭示了混沌行为。这一发现开辟了一个定量的方法，相关长度的平均密度的最大值的一个典型的物种，和一个合奏的随机模拟实施支持的程序。工作的主要结果显示了如何一个单一的和简单的实验实现，计数与物种的混沌进化相关的最大值的密度，以推断其相关长度。我们使用的结果来调查其他不同的复杂系统，一个处理一组微分方程，可以用来模拟各种各样的自然和人工混沌系统，另一个，专注于海洋水位。
英文摘要：
We demonstrate the presence of chaos in stochastic simulations that are widely used to study biodiversity in nature. The investigation deals with a set of three distinct species that evolve according to the standard rules of mobility, reproduction and predation, with predation following the cyclic rules of the popular rock, paper and scissors game. The study uncovers the possibility to distinguish between time evolutions that start from slightly different initial states, guided by the Hamming distance which heuristically unveils the chaotic behavior. The finding opens up a quantitative approach that relates the correlation length to the average density of maxima of a typical species, and an ensemble of stochastic simulations is implemented to support the procedure. The main result of the work shows how a single and simple experimental realization that counts the density of maxima associated with the chaotic evolution of the species serves to infer its correlation length. We use the result to investigate others distinct complex systems, one dealing with a set of differential equations that can be used to model a diversity of natural and artificial chaotic systems, and another one, focusing on the ocean water level.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
