On the dynamics of the \(q\)-deformed logistic map

DOI10.1016/j.physleta.2019.03.003zbMath1476.62268OpenAlexW2922470589WikidataQ128275169 ScholiaQ128275169MaRDI QIDQ820768

Jose S. Cánovas, María Muñoz Guillermo

Publication date: 27 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2019.03.003

zbMATH Keywords

chaosdiscrete dynamics\(q\)-deformationstopological entropy

Mathematics Subject Classification ID

Generalized linear models (logistic models) (62J12) Applications of statistics to physics (62P35) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Entropy in general topology (54C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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Image encryption using \(q\)-deformed logistic map ⋮ On \(q\)-deformed logistic maps ⋮ Revisiting the business cycle model with cubic nonlinear investment function ⋮ Dynamics of deformed Hénon-like map ⋮ On the deformed oscillator and the deformed derivative associated with the Tsallis \(q\)-exponential ⋮ Dynamical analysis and encryption key-distribution application of new q-deformed reduced Lorenz system ⋮ On the Dynamics of the q-Deformed Gaussian Map ⋮ A note on the dynamics of the logistic family modified by fuzzy numbers ⋮ On the dynamics of the \(q\)-deformed Puu's model with cubic investment map ⋮ Dynamics of q deformed Ricker map

Cites Work

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• An improved algorithm for computing topological entropy
• Delayed q-deformed logistic map
• Statistical interpretation of the interplay between noise and chaos in the stochastic logistic map
• On the concept of attractor
• Sensitive dependence to initial conditions for one dimensional maps
• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• Watermarking based on discrete wavelet transform and \(q\)-deformed chaotic map
• Metric attractors for smooth unimodal maps
• Kinetic approach to fractional exclusion statistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Cryptography with chaos
• A \(q\)-deformed nonlinear map
• Dynamic Parrondo's paradox
• Aq-deformed logistic map and its implications
• DYNAMICAL BEHAVIOR OF q-DEFORMED HENON MAP
• Exponents, attractors and Hopf decompositions for interval maps
• Chaotic Functions with Zero Topological Entropy
• Entropy of piecewise monotone mappings
• Period Three Implies Chaos
• Stable Orbits and Bifurcation of Maps of the Interval
• On Li-Yorke pairs
• The q-deformed Tinkerbell map
• Nonextensive statistical mechanics: a brief review of its present status
• Topological Entropy
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999

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