Cellular Automata, PDEs, and Pattern Formation
Xin-She Yang, Y. Young
TL;DR
This paper reviews the interplay between cellular automata, PDEs, and pattern formation, highlighting their applications in biology and engineering, and discussing how these models inform each other.
Contribution
It provides a comprehensive overview of how cellular automata and PDEs are used together to understand pattern formation across disciplines.
Findings
Cellular automata can model complex biological patterns.
PDEs are effective for continuous pattern analysis.
Integrating automata and PDEs enhances understanding of pattern dynamics.
Abstract
State-of-the-art review of cellular automata, cellular automata for partial differential equations, differential equations for cellular automata and pattern formation in biology and engineering.
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Taxonomy
TopicsCellular Automata and Applications · Nonlinear Dynamics and Pattern Formation · Slime Mold and Myxomycetes Research