Topological Semiconjugacy of Piecewise Monotone Maps of the Interval

DOI10.2307/1999062zbMath0532.54029OpenAlexW4237853605MaRDI QIDQ3314562

W. Byers

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999062

zbMATH Keywords

turning pointsMilnor-Thurston kneading theorypiecewise monotone mapequivalent kneading sequencesinjective variant coordinatessurjective semiconjugacy

Mathematics Subject Classification ID

Iteration of real functions in one variable (26A18) Dynamical systems and ergodic theory (37-XX)

Related Items (5)

Monotonic Semiconjugacies Onto Expanding Maps of the Interval ⋮ A numerical method for computing the Hamiltonian Schur form ⋮ Higher dimensional analogues of the tent maps ⋮ Topological conjugacy of PM functions with height equaling ∞ ⋮ Compound orbits break-up in constituents: An algorithm

Cites Work

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• Sensitive dependence to initial conditions for one dimensional maps
• On the bifurcation of maps of the interval
• Periodic Orbits and Kneading Invariants
• ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELF

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