On discrete models of fractal dimension to explore the complexity of discrete dynamical systems

DOI10.1080/10236198.2016.1216550zbMath1373.37113OpenAlexW2477988625MaRDI QIDQ4978262

Juan A. Vera, G. Rodríguez-Bermúdez, Manuel Fernández-Martínez

Publication date: 8 August 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1216550

zbMATH Keywords

fractal dimensiondiscrete dynamical systembox-counting dimensionfractal structurechaos measure

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• A new topological indicator for chaos in mechanical systems
• Fractal dimension for fractal structures
• Fractal dimension for fractal structures: A Hausdorff approach
• A new approach to metrization
• A characterization of self-similar symbolic spaces
• Fractal dimension for fractal structures: a Hausdorff approach revisited
• Fractal dimension for fractal structures: applications to the domain of words
• A discrete dynamical system for the Marx model
• Lin's method for discrete dynamical systems
• Synchronization of Discrete Time Dynamical Systems^†