Efficient computations of Julia sets and their fractal dimension

DOI10.1016/0167-2789(87)90024-8zbMath0622.58015OpenAlexW2004423816WikidataQ121438612 ScholiaQ121438612MaRDI QIDQ1091002

Dietmar Saupe

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90024-8

zbMATH Keywords

Julia setfractal dimensionbox-counting methodbasins of attraction

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration of real functions in one variable (26A18)

Related Items (4)

Parameter identification of 1D recurrent fractal interpolation functions with applications to imaging and signal processing ⋮ Rigorous bounds for polynomial Julia sets ⋮ The Computational Complexity of Some Julia Sets ⋮ Spectral Properties of Laplacians on Snowflake Domains and Filled Julia Sets

Cites Work

• On the iteration of a rational function: Computer experiments with Newton's method
• Cayley's problem and Julia sets
• Five turbulent problems
• Complex analytic dynamics on the Riemann sphere
• Repellers for real analytic maps
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