The problem of the inverse Lyapunov exponent and its applications

DOI10.15388/NA.2018.6.9zbMath1415.37037OpenAlexW2900953711MaRDI QIDQ4968229

Marcin Lawnik

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2018.6.9

zbMATH Keywords

inverse problempiecewise linear mapLyapunov exponent

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• Arithmetic coding as a non-linear dynamical system
• Lyapunov exponent for chaotic 1D maps with uniform invariant distribution
• Direct and inverse one-phase Stefan problem solved by the variational iteration method
• Cryptography with chaos
• Solution of the one-phase inverse Stefan problem by using the homotopy analysis method
• Digitized Chaos for Pseudo-random Number Generation in Cryptography
• Lyapunov exponents and the natural invariant density determination of chaotic maps: an iterative maximum entropy ansatz
• Theory and examples of the inverse Frobenius–Perron problem for complete chaotic maps
• Deterministic Nonperiodic Flow

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