Application of chaos degree to some dynamical systems
Kei Inoue, Masanori Ohya, Keiko Sato
TL;DR
This paper applies the chaos degree, based on information dynamics complexities, to deterministic dynamical systems, demonstrating its effectiveness in characterizing chaos in these models.
Contribution
It introduces the use of chaos degree from information dynamics to analyze chaos in deterministic systems, providing a new quantitative tool.
Findings
Chaos degree effectively characterizes chaos in models
The method distinguishes chaotic from non-chaotic behavior
Demonstrates applicability to various dynamical systems
Abstract
Chaos degree defined through two complexities in information dynamics is applied to some deterministic dynamical models. It is shown that this degree well describes the chaostic feature of the models.
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Taxonomy
TopicsComputability, Logic, AI Algorithms