The digital tent map and the trapezoidal map

DOI10.1016/0960-0779(93)90030-5zbMath0778.58018OpenAlexW2065426305MaRDI QIDQ686087

P. H. Borcherds, G. P. McCauley

Publication date: 5 January 1994

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(93)90030-5

zbMATH Keywords

bifurcationnonlinear dynamicsattractorlogistic mapsymbolic dynamicstent maptrapezoidal mapconvex unimodal one-dimensional mapsdigital tent mapsupercycles

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Random property enhancement of a 1D chaotic PRNG with finite precision implementation ⋮ Stabilizing long-period orbits via symbolic dynamics in simple limiter controllers ⋮ A note on chaotic unimodal maps and applications ⋮ Finite precision logistic map between computational efficiency and accuracy with encryption applications ⋮ Dynamics of a New Multi-Cavity Hyperchaotic Map and Its DSP Implementation ⋮ ON THE DYNAMICAL DEGRADATION OF DIGITAL PIECEWISE LINEAR CHAOTIC MAPS ⋮ Quadratic convergence in period doubling to chaos for trapezoid maps

Cites Work

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• Chaos and continued fractions
• The universal metric properties of nonlinear transformations
• On the abundance of aperiodic behaviour for maps on the interval
• Classification of all cycles of the parabolic map
• Symbolic dynamics and characterization of complexity
• On finite limit sets for transformations on the unit interval

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