Calculating derivatives with respect to parameters in iterated function systems

DOI10.1016/0167-2789(87)90131-XzbMath0622.58017OpenAlexW2002970017MaRDI QIDQ1091004

Wm. Douglas Withers

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)90131-x

zbMATH Keywords

iterated function systemcontracting maps

Mathematics Subject Classification ID

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

Related Items (3)

Newton's method for fractal approximation ⋮ PARAMETRIC ITERATIVE FUNCTION SYSTEM FOR THE CONTINUUM GROWTH: CANTOR SET CASE ⋮ FURTHER EXAMPLES OF PARAMETRIC ITERATIVE FUNCTION SYSTEMS FOR THE CONTINUUM GROWTH OF THE ATTRACTOR

Cites Work

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• A Mandelbrot set for pairs of linear maps
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Invariant sets under iteration of rational functions
• Some random walks arising in learning models. I
• Iterated function systems and the global construction of fractals
• An ergodic theorem for iterated maps

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