The growth of technology and the emphasis on privacy have intensified the need to find a fast and secure cryptographic method. As chaotic signals are usually noise-like and chaotic systems are very sensitive to the initial condition, they can be used in cryptography. We have analyzed the properties of two new hyperchaotic systems that we have developed and then propose a secure chaotic cryptogr...

This paper addresses the hyperchaotification and the synchronization of chaotic systems. A nonlinear state feedback controller was designed to generate hyperchaos from the original chaotic system. The hyperchaos was identified by the existence of two positive Lyapunov exponents, bifurcation diagram and phase diagrams. Furthermore, effective active controllers are designed for synchronizing the ...

In the information security field, the substitution boxes (S-boxes) have been extensively used in many cryptographic systems. This paper presents a novel approach for generating dynamically cryptographically S-boxes using a four-dimensional hyperchaotic Lorenz system. Within the algorithm, the initial condition is employed to drive the hyper-chaotic system to generate a chaotic sequence which i...

This paper studies simple hyperchaotic circuits consisting of one linear 3-port voltage-controlled current source (ab. VCCS), two linear capacitors and one dependent switched capacitor. The dynamics is described by a normal form equation and a return map can be derived. Using a mapping procedure, it is shown that the circuits exhibit interesting hyperchaotic attractors.

In this paper, an improved multi-dimensional hyperchaotic system derived from the logistic map and ICMIC based on closed-loop coupling (LICC system) is proposed it used in design of selective image encryption. The performance analysis shows that LICC with a strong degree has parameters whose value can be set more flexibly generate wider uniform distribution chaotic sequences. Then encryption pr...

This study introduces a new continuous time differential system, which contains ten terms with three quadratic nonlinearities. The system can demonstrate hyperchaotic, chaotic, quasi-periodic, and periodic behaviors for its different parameter values. All theoretical numerical analysis are investigated to confirm the complex hyperchaotic behavior of our proposed model using many tools that incl...