A note on exact solutions of the logistic map

DOI10.1063/1.5125097zbMath1446.39018OpenAlexW3010706931WikidataQ90828471 ScholiaQ90828471MaRDI QIDQ5112991

Milton Maritz

Publication date: 9 June 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5125097

zbMATH Keywords

chaosexplicit solutionperiod doubling

Mathematics Subject Classification ID

Additive difference equations (39A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Chaotic behavior of solutions of difference equations (39A33)

Related Items (4)

Generalized invariance principles for discrete-time stochastic dynamical systems ⋮ Solutions to nonlinear recurrence equations ⋮ The probabilistic termination tool amber ⋮ LogMapBaseFunction

Uses Software

• Mathematica
• Logistic Map
• GitHub

Cites Work

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• Cryptography with chaos
• The logistic map and the route to chaos. From the beginnings to modern applications
• Logistic Map as a Random Number Generator
• A note on Verhulst's logistic equation and related logistic maps
• Chaotic behaviour of systems of difference equations
• Period Three Implies Chaos
• A First Course in Discrete Dynamical Systems
• Simple mathematical models with very complicated dynamics
• Chaos
• Mean Value Methods in Iteration

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