Randomness, chaos, and structure
Fatihcan Atay, Sarika Jalan, J\"urgen Jost
TL;DR
This paper introduces a symbolic dynamics scheme that differentiates chaotic from random time series and detects structural relationships in coupled systems, shedding light on the emergence of regularities in complex dynamics.
Contribution
It presents a novel symbolic dynamics method for distinguishing chaos from randomness and identifying structural relationships in coupled systems.
Findings
Successfully differentiates chaotic and random time series
Detects structural relationships in coupled dynamics
Provides insights into emergence of patterns in complex systems
Abstract
We show how a simple scheme of symbolic dynamics distinguishes a chaotic from a random time series and how it can be used to detect structural relationships in coupled dynamics. This is relevant for the question at which scale in complex dynamics regularities and patterns emerge.
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Taxonomy
TopicsChaos, Complexity, and Education