A metric property of period doubling for nonisosceles trapezoidal maps on an interval

DOI10.1016/0196-8858(87)90014-5zbMath0634.58009OpenAlexW1976819232MaRDI QIDQ1096942

Nicholas D. Kazarinoff, Li Wang

Publication date: 1987

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(87)90014-5

zbMATH Keywords

iterationbifurcationperiod doublingone-dimensional mapsrecurrence chaotic dynamics

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration of real functions in one variable (26A18) Local and nonlocal bifurcation theory for dynamical systems (37G99) Software, source code, etc. for problems pertaining to global analysis (58-04)

Related Items (3)

On the integrity of kneading sequences of a CO-family of unimodal functions ⋮ Conway numbers and iteration theory ⋮ Quadratic convergence in period doubling to chaos for trapezoid maps

Cites Work

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• On the universal sequence generated by a class of unimodal functions
• Further results on periods and period doubling for iterates of the trapezoid function
• Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
• Period doubling for trapezoid function iteration: Metric theory
• On finite limit sets for transformations on the unit interval
• A computer-assisted proof of the Feigenbaum conjectures
• The existence of dendritic fronts

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