Estimation of the control parameter from symbolic sequences: Unimodal maps with variable critical point

DOI10.1063/1.3155072zbMath1309.37017arXiv0812.2331OpenAlexW2106469506WikidataQ84145571 ScholiaQ84145571MaRDI QIDQ5246378

David Arroyo, Gonzalo Alvarez, José María Amigó

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/0812.2331

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Symbolic dynamics (37B10)

Related Items (6)

THE ORDINAL STRUCTURE OF THE SIGNED SHIFT TRANSFORMATIONS ⋮ A family of multimodal dynamic maps ⋮ Cryptanalysis of a family of self-synchronizing chaotic stream ciphers ⋮ Application of Gray codes to the study of the theory of symbolic dynamics of unimodal maps ⋮ Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers ⋮ Symbolic dynamics approach to parameter estimation without initial value

Cites Work

• Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
• Parameter estimation only from the symbolic sequences generated by chaos system
• Self-synchronizing chaotic stream ciphers
• Forbidden patterns and shift systems
• On finite limit sets for transformations on the unit interval
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Probability density functions of some skew tent maps

This page was built for publication: Estimation of the control parameter from symbolic sequences: Unimodal maps with variable critical point