On the integrity of kneading sequences of a CO-family of unimodal functions

DOI10.1016/0362-546X(94)90098-1zbMath0827.58033OpenAlexW2029379251MaRDI QIDQ4322163

Li Wang, Jie Hua Mai

Publication date: 9 February 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90098-1

zbMATH Keywords

kneading sequencesunimodal functions

Mathematics Subject Classification ID

Ergodic theory (37A99) Functions of one variable (26A99)

Cites Work

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• Further results on periods and period doubling for iterates of the trapezoid function
• A metric property of period doubling for nonisosceles trapezoidal maps on an interval
• Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
• On the abundance of aperiodic behaviour for maps on the interval
• Period doubling for trapezoid function iteration: Metric theory
• Unimodal orbits in continuous functions and generalization of Sarkovskii's theorem
• On finite limit sets for transformations on the unit interval
• Universal metric properties of bifurcations of endomorphisms
• An example of a bifurcation from fixed points to period 3 points
• Simple mathematical models with very complicated dynamics

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