A pseudo-random numbers generator based on a novel 3D chaotic map with an application to color image encryption

ML Sahari, I Boukemara - Nonlinear Dynamics, 2018 - Springer
In this work, we propose a novel 3D chaotic map obtained by coupling the piecewise and
logistic maps. Showing excellent properties, like a high randomness, a high complexity and …

Backstepping controller design for the global chaos synchronization of Sprott's jerk systems

S Vaidyanathan, BA Idowu, AT Azar - Chaos modeling and control …, 2015 - Springer
This research work investigates the global chaos synchronization of Sprott's jerk chaotic
system using backstepping control method. Sprott's jerk system (1997) is algebraically the …

Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice

J Ma, X Wu, R Chu, L Zhang - Nonlinear Dynamics, 2014 - Springer
In this paper, a feasible feedback scheme is used to stabilize the multi-scroll attractors in the
Jerk circuit, and the controller is realized using mixed Heaviside function. It is found that …

[PDF][PDF] Analysis, adaptive control and synchronization of a novel 4-D hyperchaotic hyperjerk system and its SPICE implementation

S Vaidyanathan, C Volos, VT Pham… - Archives of Control …, 2015 - bibliotekanauki.pl
A hyperjerk system is a dynamical system, which is modelled by an nth order ordinary
differential equation with n 4 describing the time evolution of a single scalar variable …

Analysis, control and synchronization of a nine-term 3-D novel chaotic system

S Vaidyanathan, AT Azar - Chaos modeling and control systems design, 2015 - Springer
This research work describes a nine-term 3-D novel chaotic system with four quadratic
nonlinearities. First, this work describes the dynamic analysis of the novel chaotic system …

Hybrid synchronization of identical chaotic systems using sliding mode control and an application to Vaidyanathan chaotic systems

S Vaidyanathan, AT Azar - Advances and applications in sliding mode …, 2014 - Springer
Hybrid phase synchronization is a new type of synchronization of a pair of chaotic systems
called the master and slave systems. In hybrid phase synchronization, the odd numbered …

Anti-synchronization of identical chaotic systems using sliding mode control and an application to vaidyanathan–madhavan chaotic systems

S Vaidyanathan, AT Azar - Advances and applications in sliding mode …, 2014 - Springer
Anti-synchronization is an important type of synchronization of a pair of chaotic systems
called the master and slave systems. The anti-synchronization characterizes the asymptotic …

Analysis and control of a 4-D novel hyperchaotic system

S Vaidyanathan, AT Azar - Chaos Modeling and Control Systems Design, 2015 - Springer
Hyperchaotic systems are defined as chaotic systems with more than one positive Lyapunov
exponent. Combined with one null Lyapunov exponent along the flow and one negative …

A polynomial-fuzzy-model-based synchronization methodology for the multi-scroll Chen chaotic secure communication system

YJ Chen, HG Chou, WJ Wang, SH Tsai… - … Applications of Artificial …, 2020 - Elsevier
In this paper, a polynomial-fuzzy-model-based design methodology to synchronize multi-
scroll Chen chaotic systems is proposed for secure communication. At first, the architecture …

[HTML][HTML] Exploiting 3D fractal cube and chaos for effective multi-image compression and encryption

Y Lu, M Gong, L Cao, Z Gan, X Chai, A Li - Journal of King Saud University …, 2023 - Elsevier
At present, some image compression and encryption algorithms have been presented to
protect digital images by combining chaos and compressed sensing (CS). However, some of …