Quadratic convergence in period doubling to chaos for trapezoid maps

DOI10.1006/JMAA.1998.6028zbMath0915.58065OpenAlexW1995390986MaRDI QIDQ1273678

Li Wang, William A. Beyer

Publication date: 5 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6028

zbMATH Keywords

periodic pointtrapezoid mapquadratically convergent

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

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• The digital tent map and the trapezoidal map
• Bounds on the unstable eigenvalue for period doubling
• Computer methods and Borel summability applied to Feigenbaum's equation
• A metric property of period doubling for nonisosceles trapezoidal maps on an interval
• Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
• Corrections for two papers by W. A. Beyer and P. R. Stein
• Period doubling for trapezoid function iteration: Metric theory
• Convergence rates and convergence-order profiles for sequences
• On periodic orbits of trapezoid maps
• Two convergence problems for monotone sequences
• Quantitative universality for a class of nonlinear transformations
• On finite limit sets for transformations on the unit interval
• A computer-assisted proof of the Feigenbaum conjectures

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