Taylor series approximations to Julia set scaling functions

DOI10.1016/0167-2789(92)90006-9zbMath0754.30004OpenAlexW2001417924WikidataQ122703519 ScholiaQ122703519MaRDI QIDQ1199301

M. Y. Sarkis, Andrew H. Osbaldestin

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90006-9

zbMATH Keywords

iterationJulia setTaylor seriesscaling functionsFeigenbaum scaling functionsRuelle-Bowen-Sinai scaling functions

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Series expansions of functions of one complex variable (30B99)

Related Items (1)

On Taylor series expansion for chaotic nonlinear systems

Cites Work

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• On the invariant sets of a family of quadratic maps
• Scaling structure and thermodynamics of strange sets
• Repellers for real analytic maps

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