On the entropy devil's staircase in a family of gap-tent maps

DOI10.1016/S0167-2789(99)00029-9zbMath0983.37011arXivchao-dyn/9807013OpenAlexW2168367586WikidataQ112267450 ScholiaQ112267450MaRDI QIDQ1809411

Karol Życzkowski, Erik M. Bollt

Publication date: 3 April 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9807013

zbMATH Keywords

topological entropyfractal measurechannel capacitydevil's staircasekneadingcommunications with chaosgap-tent mapnoise-resistance

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Measures of information, entropy (94A17) Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (9)

Unstable Orbits and Milnor Attractors in the Discontinuous Flat Top Tent Map ⋮ The discontinuous flat top tent map and the nested period incrementing bifurcation structure ⋮ ENTROPY OF MAPS WITH HORIZONTAL GAPS ⋮ On comparing dynamical systems by defective conjugacy: A symbolic dynamics interpretation of commuter functions ⋮ Parry measure and the topological entropy of chaotic repellers embedded within chaotic attractors ⋮ A concept of homeomorphic defect for defining mostly conjugate dynamical systems ⋮ The plateau phenomenon in the topological entropy of the gap-tent map ⋮ Shape Coherence and Finite-Time Curvature Evolution ⋮ Entropy computing via integration over fractal measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Erratum: Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Computing the topological entropy of maps
• The infinite number of generalized dimensions of fractals and strange attractors
• The entropy function for characteristic exponents
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Generic hyperbolicity in the logistic family
• Monotonicity properties of the family of trapezoidal maps
• How often are chaotic saddles nonhyperbolic?
• On the symbolic dynamics of the Henon map
• Structure in the parameter dependence of order and chaos for the quadratic map
• Scaling properties of a scattering system with an incomplete horseshoe
• TRANSMISSION OF DIGITAL SIGNALS BY CHAOTIC SYNCHRONIZATION
• A NONLINEAR DYNAMICS INTERPRETATION OF ALGORITHMIC A/D CONVERSION
• Entropy computing via integration over fractal measures
• Iterated function systems and dynamical systems
• Ergodic theory of chaos and strange attractors
• Weight-balanced measures and free energy for one-dimensional dynamics
• Chaos in Dynamical Systems
• Topological Entropy
• Differentiable dynamical systems
• Computing the Topological Entropy of General One-Dimensional Maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

This page was built for publication: On the entropy devil's staircase in a family of gap-tent maps