Complex dynamical behaviors of a novel exponential hyper–chaotic system and its application in fast synchronization and color image encryption

Abstract

This paper proposes a novel exponential hyper–chaotic system with complex dynamic behaviors. It also analyzes the chaotic attractor, bifurcation diagram, equilibrium points, Poincare map, Kaplan–Yorke dimension, and Lyapunov exponent behaviors. A fast terminal sliding mode control scheme is then designed to ensure the fast synchronization and stability of the new exponential hyper–chaotic system. Stability analysis was performed using the Lyapunov stability theory. One of the main features of the proposed controller is the finite time stability of the terminal sliding surface designed with high–order power function of error and derivative of error. The approach was implemented for image cryptosystem. Color image encryption was carried out to confirm the performance of the new hyper–chaotic system. For image encryption, the DNA encryption-based RGB algorithm was used. Performance assessment of the proposed approach confirmed the ability of the proposed hyper–chaotic system to increase the security of image encryption.

Trajectory tracking of differential drive mobile robots using fractional-order proportional-integral-derivative controller design tuned by an enhanced fruit fly optimization

“…The suggested observer-based control scheme needs only Cartesian position measurement. [28][29][30][31][32][33][34][35] The contributions of this paper lie in twofold. Firstly, proposing a new Enhanced Fruit fly optimization (EFFO) algorithm.…”

Finite-time energy-to-peak control for Markov jump systems with pure time delays

“…Additional results can be found in references. [17][18][19] On the other hand, changes in the working surroundings or breakdown of system components always exist in real systems [20][21][22][23] ; thus, some system state jumps often occur in a real system. If these jumps are not considered correctly, the system may be performancedecreased or destroyed.…”

Computational chaos control based on small perturbations for complex spectra simulation

“…14 Delayed-feedback control has been used for a chaotic traffic flow system with possible applications in the efficient design of road traffic. 15 Different techniques of chaos control have been applied in the areas of image encryption 16–20 and data security, 21–23 among other techniques and applications. 24–28…”

“…14 Delayed-feedback control has been used for a chaotic traffic flow system with possible applications in the efficient design of road traffic. 15 Different techniques of chaos control have been applied in the areas of image encryption [16][17][18][19][20] and data security, [21][22][23] among other techniques and applications. [24][25][26][27][28] In most computational studies of chaos control found in the literature, no arbitrary precision has been used during the simulations.…”