A new four-dimensional chaotic attractor

Ababneh, Mohammad

doi:10.1016/j.asej.2016.08.020

Cited by 13 publications

(6 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Advanced form of chaos called hyperchaotic is solider than the chaos against cryptanalysis efforts due to its dynamic complexities. Using its strength, authors [40][41][42][43] designed a number of S-boxes based on hyperchaotic concepts while each S-box is very effective bearing the features like SAC, BIC, etc. [44] is another recently designed S-box using chaos and line equilibrium suitable for medical devices, etc.…”

Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

View full text Add to dashboard Cite

In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective function. The use of cubic polynomial maintains the simplicity of S-box construction method and found consistent when compared with other existing S-box techniques used to construct S-boxes. An example proposed S-box is obtained which is analytically evaluated using standard performance criteria including nonlinearity, bijection, bit independence, strict avalanche effect, linear approximation probability, and differential uniformity. The performance results are equated with some recently scrutinized S-boxes to ascertain its cryptographic forte. The critical analyses endorse that the proposed S-box construction technique is considerably innovative and effective to generate cryptographic strong substitution-boxes.

show abstract

Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

View full text Add to dashboard Cite

show abstract

“…Moreover, system trajectories are run to the zero equilibrium based on an optimal controller underpinned by the Riccati equation. Matlab and Simulink are employed for simulation of the novel system dynamics [25].…”

Section: Related Workmentioning

confidence: 99%

A new pseudorandom bits generator based on a 2D-chaotic system and diffusion property

Akif

Ali

et al. 2021

Bulletin EEI

View full text Add to dashboard Cite

A remarkable correlation between chaotic systems and cryptography has been established with sensitivity to initial states, unpredictability, and complex behaviors. In one development, stages of a chaotic stream cipher are applied to a discrete chaotic dynamic system for the generation of pseudorandom bits. Some of these generators are based on 1D chaotic map and others on 2D ones. In the current study, a pseudorandom bit generator (PRBG) based on a new 2D chaotic logistic map is proposed that runs side-by-side and commences from random independent initial states. The structure of the proposed model consists of the three components of a mouse input device, the proposed 2D chaotic system, and an initial permutation (IP) table. Statistical tests of the generated sequence of bits are investigated by applying five evaluations as well as the ACF and NIST. The results of five standard tests of randomness have been illustrated and overcome a value of 0.160 in frequency test. While the run test presents the pass value t0=4.769 and t1=2.929. Likewise, poker test and serial test the outcomes was passed with 3.520 for poker test, and 4.720 for serial test. Finally, autocorrelation test passed in all shift numbers from 1 to 10.

show abstract

“…Since the first arise of chaotic systems by Lorenz [14], several chaotic and hyperchaotic systems with ordinary differential equations, complex and fractional order have been introduced and extensively studied [4,7,9,[15][16][17]. Despite of this fact, but it is still advantageous for the field of chaotic in theoretical and practical areas to find and analyze new chaotic systems [17][18]. Due to their dynamical complexity over chaotic systems, hyperchaotic systems admits more benefits in some applications, especially in the secure communication where it has been shown that encryption with hyperchaotic system gives more efficient secure communication system [19].…”

Section: Introductionmentioning

confidence: 99%

A new 4-D hyperchaotic hidden attractor system: Its dynamics, coexisting attractors, synchronization and microcontroller implementation

Jasim

Hassan

Omran

2021

IJECE

View full text Add to dashboard Cite

In this paper, a simple 4-dimensional hyperchaotic system is introduced. The proposed system has no equilibria points, so it admits hidden attractor which is an interesting feature of chaotic systems. Another interesting feature of the proposed system is the coexisting of attractors where it shows periodic and chaotic coexisting attractors. After introducing the system, the system is analyzed dynamically using numerical and theoretical techniques. In this analysis, Lyapunov exponents and bifurcation diagrams have been used to investigate chaotic and hyperchaotic nature, the ranges of system parameters for different behaviors and the route for chaos and coexisting attractors regions. In the next part of our work, a synchronization control system for two identical systems is designed. The design procedure uses a combination of simple synergetic control with adaptive updating laws to identify the unknown parameters derived basing on Lyapunov theorem. Microcontroller (MCU) based hardware implementation system is proposed and tested by using MATLAB as a display side. As an application, the designed synchronization system is used as a secure analog communication system. The designed MCU system with MATLAB Simulation is used to validate the designed synchronization and secure communication systems and excellent results have been obtained.

show abstract

A new four-dimensional chaotic attractor

Cited by 13 publications

References 21 publications

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

A new pseudorandom bits generator based on a 2D-chaotic system and diffusion property

A new 4-D hyperchaotic hidden attractor system: Its dynamics, coexisting attractors, synchronization and microcontroller implementation

Contact Info

Product

Resources

About