Hierarchy of chaotic maps with an invariant measure and their coupling
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Behnia and Akhshani's mixture of the Logistic map with a coupled map has large key space and high-level security, although its speed is only acceptable.
“S. Behnia and A. Akhshani [55] were the first to mix the Logistic map with a coupled map based on [56,57] for image encryption.This mixture scheme has large key space and high-level security, although its speed is only acceptable.”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [56]
Section 2 (p. 4) defines a family of chaotic maps, supporting the citation’s use as background for the maps on which the encryption scheme is said to be based. Our copy does not describe Behnia and Akhshani’s image-encryption mixture or assess its key space, security, or speed; those claims cannot be established from this source. (LLM, conf=0.78)
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No references could be resolved yet.
Research works printed but not linked: 5
- [1][1] I.P.Cornfeld, S.V.Fomin and Ya,G.Sinai. Ergodic Theory, Springer-Verlag, Berlin, (1982). -
- [3][3] S.Tasaki, Z.Suchanecki, I.Antoniou. Physics Letters A, 179 (1993) 103 -
- [6][6] G.Froyland. In proceedings of the 1997 International Symposium on Nonlinear Theory and its Applications, Hawaii, Volume 2(1997) 1129 -
- [8][8] Z.X.Wang, D.R.Guo. Special Functions, World Scientific Publishing, (1989). -
- [9][9] Robert L.Devancy, An Introduction to Chaotic Dynamical Systems, Addison Wesley, (1982). -
Cited by
Sorted by citations
Chaos-Based Image Encryption: Review, Application, and Challenges
Zhang, B., & Liu, L. (2023) · Mathematics · doi:10.3390/math11112585 · Cited by 328 · see citing works
- Authors
- Jafarizadeh, M. A., & Behnia, S.
- Affiliations
- University of Tabriz (IR)
- Islamic Azad University, Tehran (IR)
- Corresponding author
- Jafarizadeh, M.A.
- Venue
- Physica D: Nonlinear Phenomena
- Publisher
- Elsevier BV
- Published
- 2001-11
- Volume
- 159
- Issue
- 1-2
- Pages
- 1-21
- ISSN
- 0167-2789 (ISSN-L)
- OpenAlex
- W2761237931
- Cited by
- 30
- References
- 0
- Citations by year
- 2026: 1 · 2023: 1 · 2022: 1 · 2020: 3 · 2018: 2 · 2015: 1 · 2014: 1 · 2013: 2 · 2012: 3
- FWCI
- 1.55
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physica D Nonlinear Phenomena (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- chaotic maps, invariant measures, Sinai-Ruelle-Bowen measures, coupled maps, period-doubling cascade, fixed-point attractors, ergodicity, Kolmogorov-Sinai entropy, one-dimensional maps
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