ArticleScientific reports2017
A novel procedure for the identification of chaos in complex biological systems.
Article in Scientific reports, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Speckle-Based Maximum Density Theory for Micro- and Nanoparticle Characterization via Dynamic Light Scattering.ACS omega · 2025Article
- Sensorless Speed Estimation of Induction Motors through Signal Analysis Based on Chaos Using Density of Maxima.Entropy (Basel, Switzerland) · 2024Article
- Misfire Detection in Automotive Engines Using a Smartphone through Wavelet and Chaos Analysis.Sensors (Basel, Switzerland) · 2022Article
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Authors and funding
5 authors.
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Abstract
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.
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