Critical itineraries of maps with constant slope and one discontinuity
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Publication:5498521
DOI10.1017/S0305004114000486zbMath1376.37031OpenAlexW2078406579MaRDI QIDQ5498521
Michael F. Barnsley, Andrew Vince, Wolfgang Steiner
Publication date: 9 February 2015
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004114000486
Dynamical aspects of cellular automata (37B15) Symbolic dynamics (37B10) Iteration of real functions in one variable (26A18)
Related Items (3)
Fiber denseness of intermediate β-shifts of finite type ⋮ Intermediate \(\beta\)-shifts as greedy \(\beta\)-shifts with a hole ⋮ Denseness of intermediate $\beta $-shifts of finite-type
Cites Work
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- Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps
- Digital expansions with negative real bases
- How to Transform and Filter Images Using Iterated Function Systems
- Beta-Expansions with Negative Bases
- The classification of topologically expansive lorenz maps
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Topological conjugation of Lorenz maps by β-transformations
- Dimension groups for interval maps II: the transitive case
- The Maximal Measure for Linear Mod One Transformations
- Deterministic Nonperiodic Flow
- BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
- An Introduction to Symbolic Dynamics and Coding
- Chaos in some 1-D discontinuous maps that appear in the analysis of electrical circuits
- The lap-counting function for linear mod one transformations I: explicit formulas and renormalizability
- Dynamical properties of the negative beta-transformation
- Beta-expansions, natural extensions and multiple tilings associated with Pisot units
- The entropy of a special overlapping dynamical system
- Dynamics of a piecewise linear map with a gap
- Topological invariants and renormalization of Lorenz maps
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