Lightweight Image Encryption: Cellular Automata and the Lorenz System

In this paper, to avoid chosen-plaintext attacks and to enhance the security, SHA-256 hash value of the plain image is introduced to produce the initial values and parameters of the chaotic system, thus the produced keys and the ciphered image are highly sensitive to changes of the plain image. Based on the plain image related chaotic sequences, a hierarchical bit-level image encryption scheme is proposed by using an “Incomplete” Feistel network. In this scheme, the left four most significant bits (MSB) and the right four least significant bits (LSB) of each pixel are encrypted differently by the “Incomplete” Feistel network. During the encryption process, different bitplanes of gray image and color image are encrypted differently by the keystreams generated from the Logistic-Sine system (LSS) and the Lorenz system. The theoretical analysis and experiment results show that the proposed encryption algorithm is effective and secure enough to be used for image encryption.

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A novel color image encryption scheme using DNA permutation based on the Lorenz system

Multimedia Tools and Applications ◽

10.1007/s11042-017-4534-z ◽

2017 ◽

Vol 77 (5) ◽

pp. 6243-6265 ◽

Cited By ~ 27

Author(s):

Xing-Yuan Wang ◽

Pi Li ◽

Ying-Qian Zhang ◽

Li-Yan Liu ◽

Hengzhi Zhang ◽

...

Keyword(s):

Image Encryption ◽

Lorenz System ◽

Color Image ◽

Encryption Scheme ◽

Color Image Encryption ◽

The Lorenz System

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Dynamics, Synchronization and Electronic Implementations of a New Lorenz-like Chaotic System with Nonhyperbolic Equilibria

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127419501979 ◽

2019 ◽

Vol 29 (14) ◽

pp. 1950197 ◽

Cited By ~ 2

Author(s):

P. D. Kamdem Kuate ◽

Qiang Lai ◽

Hilaire Fotsin

Keyword(s):

Chaotic System ◽

Chaotic Systems ◽

Lorenz System ◽

Chaotic Behavior ◽

Piecewise Linear ◽

Period Doubling ◽

Adaptive Synchronization ◽

The Novel ◽

Algebraic Equations ◽

The Lorenz System

The Lorenz system has attracted increasing attention on the issue of its simplification in order to produce the simplest three-dimensional chaotic systems suitable for secure information processing. Meanwhile, Sprott’s work on elegant chaos has revealed a set of 19 chaotic systems all described by simple algebraic equations. This paper presents a new piecewise-linear chaotic system emerging from the simplification of the Lorenz system combined with the elegance of Sprott systems. Unlike the majority, the new system is a non-Shilnikov chaotic system with two nonhyperbolic equilibria. It is multiplier-free, variable-boostable and exclusively based on absolute value and signum nonlinearities. The use of familiar tools such as Lyapunov exponents spectra, bifurcation diagrams, frequency power spectra as well as Poincaré map help to demonstrate its chaotic behavior. The novel system exhibits inverse period doubling bifurcations and multistability. It has only five terms, one bifurcation parameter and a total amplitude controller. These features allow a simple and low cost electronic implementation. The adaptive synchronization of the novel system is investigated and the corresponding electronic circuit is presented to confirm its feasibility.

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Reversible cellular automata image encryption for similarity search

Signal Processing Image Communication ◽

10.1016/j.image.2018.12.008 ◽

2019 ◽

Vol 72 ◽

pp. 134-147 ◽

Cited By ~ 8

Author(s):

Yingri Su ◽

Yan Wo ◽

Guoqiang Han

Keyword(s):

Cellular Automata ◽

Image Encryption ◽

Similarity Search ◽

Reversible Cellular Automata

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Integrals of motion for the Lorenz system

Journal of Mathematical Physics ◽

10.1063/1.530223 ◽

1993 ◽

Vol 34 (2) ◽

pp. 801-804 ◽

Cited By ~ 8

Author(s):

Neelam Gupta

Keyword(s):

Lorenz System ◽

Integrals Of Motion ◽

The Lorenz System

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CONTROL OF THE DIFFERENTIALLY FLAT LORENZ SYSTEM

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127401003176 ◽

2001 ◽

Vol 11 (07) ◽

pp. 1989-1996 ◽

Cited By ~ 1

Author(s):

JIN MAN JOO ◽

JIN BAE PARK

Keyword(s):

Equilibrium State ◽

Lorenz System ◽

Degree Of Freedom ◽

Design Approach ◽

State Trajectory ◽

System A ◽

Full State ◽

Tracking Controller ◽

The Lorenz System ◽

Two Degree Of Freedom

This paper presents an approach for the control of the Lorenz system. We first show that the controlled Lorenz system is differentially flat and then compute the flat output of the Lorenz system. A two degree of freedom design approach is proposed such that the generation of full state feasible trajectory incorporates with the design of a tracking controller via the flat output. The stabilization of an equilibrium state and the tracking of a feasible state trajectory are illustrated.

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