The trajectory of the turning point is dense for almost all tent maps

DOI10.1017/S0143385700009962zbMath0874.58014MaRDI QIDQ5284763

Michał Misiurewicz, Karen M. Brucks

Publication date: 22 January 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

transitivityturning pointtent map

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99)

Related Items (9)

On co-\(\sigma\)-porosity of the parameters with dense critical orbits for skew tent maps and matching on generalised \(\beta\)-transformations ⋮ Entropy of twist interval maps ⋮ Diabolical entropy ⋮ On fair entropy of the tent family ⋮ AN ALGORITHM TO COMPUTE THE TOPOLOGICAL ENTROPY OF A UNIMODAL MAP ⋮ A point is normal for almost all maps βx+α mod 1 or generalized β-transformations ⋮ On homeomorphisms of \((I,f)\) having topological entropy zero ⋮ The bifurcation set as a topological invariant for one-dimensional dynamics ⋮ Sensitive dependence on parameters

Cites Work

• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Dynamics in one dimension
• Ergodic theory on compact spaces

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