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Information Sciences, ISSN 0020-0255, 04/2016, Volume 339, pp. 237 - 253
With complex properties of ergodicity, unpredictability and sensitivity to initial states, chaotic systems are widely used in cryptography. This paper proposes... 
Image encryption | Chaotic map | Chaotic encryption | Confusion and diffusion | KOLMOGOROV-ENTROPY | SCHEME | BREAKING | CHAOTIC SYSTEM | CIPHERS | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | CRYPTANALYSIS | Investment analysis | Analysis | Chaos theory | Images | Encryption | Confusion | Security | Two dimensional | Cryptography | Ergodic processes
Journal Article
Information Sciences, ISSN 0020-0255, 03/2015, Volume 297, pp. 80 - 94
Because of the excellent properties of unpredictability, ergodicity and sensitivity to their parameters and initial values, chaotic maps are widely used in... 
Image encryption | 2D Sine Logistic modulation map | Chaotic magic transform | KOLMOGOROV-ENTROPY | LYAPUNOV EXPONENTS | CHAOTIC SYSTEM | COMPUTER SCIENCE, INFORMATION SYSTEMS | TRANSFORM | CRYPTANALYSIS | Analysis | Algorithms | Chaos theory | Modulation | Images | Encryption | Security | Two dimensional | Logistics
Journal Article
Image and Vision Computing, ISSN 0262-8856, 2006, Volume 24, Issue 9, pp. 926 - 934
In recent years, the chaos based cryptographic algorithms have suggested some new and efficient ways to develop secure image encryption techniques. In this... 
Logistic map | Image cipher | Chaotic cryptography | COMPUTER SCIENCE, SOFTWARE ENGINEERING | SCHEME | image cipher | ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | OPTICS | chaotic cryptography | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | logistic map | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Neurocomputing, ISSN 0925-2312, 03/2018, Volume 283, pp. 53 - 63
In traditional permutation–substitution architecture type image cipher, the permutation and substitution generally are two independent parts, and the diffusion... 
Image encryption | Chaotic cryptography | Cryptosystem | Henon map | CHAOTIC STANDARD MAP | IMPROVED HYPERCHAOTIC SEQUENCES | ALGORITHM | PIXEL BIT | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | SCHEME | SCRAMBLING ENCRYPTION | CIPHERS | SECURITY | DIFFUSION | CRYPTANALYSIS | Cryptography | Investment analysis | Analysis
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 02/2019, Volume 29, Issue 2, p. 1930005
We consider the dynamics of a scalar piecewise linear “saw map” with infinitely many linear segments. In particular, such maps are generated as a Poincaré map... 
Feature Article | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | piecewise linear two-dimensional map | skew tent map | BIFURCATIONS | MULTIDISCIPLINARY SCIENCES | saw map | INTERVALS | PIECEWISE-SMOOTH | chaotic attractor | Map of the interval
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2016, Volume 463, pp. 37 - 44
A periodic time perturbation is introduced in the logistic map as an attempt to investigate new scenarios of bifurcations and new mechanisms toward the chaos.... 
Bifurcation | Multi-stability | Attractor | Perturbed logistic map | PHYSICS, MULTIDISCIPLINARY | CRISIS | CHAOTIC ATTRACTORS | NON-LINEAR TRANSFORMATIONS
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 1/2017, Volume 87, Issue 1, pp. 127 - 133
Journal Article
Signal Processing, ISSN 0165-1684, 12/2018, Volume 153, pp. 11 - 23
•We propose a novel 2D chaotic map named 2D-HSM, which is generated by connecting Henon map and Sine map. Performance evaluations including phase diagram,... 
DNA sequence | Image encryption | 2D Hénon-Sine map | Diffusion | Permutation | 2D Henon-Sine map | ALGORITHM | SECURE | PERMUTATION-DIFFUSION | CHAOTIC STANDARD | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Nucleotide sequencing | Analysis | DNA | DNA sequencing
Journal Article
Signal Processing, ISSN 0165-1684, 03/2016, Volume 120, pp. 522 - 531
In this paper, a robust watermarking scheme based on orthogonal Fourier–Mellin moments and chaotic map is introduced, which achieves copyright authentication... 
Double images | Image watermarking | Invariant features | Chaotic map | Orthogonal Fourier–Mellin moment | Orthogonal Fourier-Mellin moment | COPYRIGHT PROTECTION SCHEME | ENGINEERING, ELECTRICAL & ELECTRONIC | Embedded systems | Usage | Imaging systems | Electrical engineering
Journal Article
Optics and Lasers in Engineering, ISSN 0143-8166, 09/2016, Volume 84, pp. 26 - 36
Derived from Sine map and iterative chaotic map with infinite collapse (ICMIC), a new two-dimensional Sine ICMIC modulation map (2D-SIMM) is proposed based on... 
Chaos | Image encryption | Chaotic shift transform | Close-loop modulation coupling model | BROWNIAN-MOTION | SCHEME | BREAKING | PERMUTATION | OPTICS | Information science | Algorithms | Memory (Computers) | Analysis | Lyapunov exponents | Chaos theory | Modulation | Images | Encryption | Pixels | Complexity
Journal Article
Signal Processing, ISSN 0165-1684, 08/2018, Volume 149, pp. 148 - 161
•We present a two-dimensional (2D) Logistic-Sine-coupling map (2D-LSCM). Performance estimations demonstrate that it has better ergodicity, more complex... 
Chaos | Image encryption | Cryptography | Multimedia security | SCHEME | CHAOTIC SYSTEM | SECURE | DIFFUSION | PERMUTATION | CRYPTANALYSIS | ENTROPY | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer science | Investment analysis | Algorithms | Analysis
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 11/2015, Volume 25, Issue 12, p. 1550172
In this paper, we analyze chaotic dynamics for two-dimensional nonautonomous maps through the use of a nonautonomous version of the Conley–Moser conditions... 
invariant set | hyperbolic | Chaotic dynamics | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DIFFERENTIAL-EQUATIONS DRIVEN | MULTIDISCIPLINARY SCIENCES | Dynamic tests | Maps | Chaos theory | Dynamics | Bifurcations | Two dimensional | Invariants
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 8/2018, Volume 93, Issue 3, pp. 1165 - 1181
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 10/2014, Volume 78, Issue 2, pp. 1545 - 1551
Journal Article
Applied Soft Computing Journal, ISSN 1568-4946, 02/2019, Volume 75, pp. 84 - 105
The diversification (exploration) and intensification (exploitation) are two main attributes of any population-based metaheuristic algorithm. It is essential... 
Grey Wolf Optimizer | Chaos theory | [formula omitted]-Chaotic map | Congress on Evolutionary Computation (CEC) | β-Chaotic map | beta-Chaotic map | GENERATOR | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EVOLUTION | STRATEGY | GLOBAL OPTIMIZATION | ALGORITHM | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article