In this work, we recall some definitions on fractional calculus with discrete-time. Then, we
introduce a discrete-time Hopfield neural network (DTHNN) with non-commensurate …

This paper is concerned with the dynamics and control of the fractional version of the
discrete double scroll hyperchaotic map. Using phase portraits and bifurcation diagrams, we …

In honor of his 75th birthday, we review the prominent works of Professor Julien Clinton
Sprott in chaos and nonlinear dynamics. We categorize his works into three important …

This book is a comprehensive collection of known results about the Lozi map, a piecewise-
affine version of the Henon map. Henon map is one of the most studied examples in …

Referring to chaos synchronization, it can be noticed the lack of a general approach
enabling any type of synchronization to be achieved. Similarly, there is the lack of a unified …

In this paper, we study the synchronization of fractional–order discrete–time chaotic systems
by means of two scaling matrices Θ and Φ. The considered synchronization scheme can be …

This paper presents a new scheme to achieve generalized synchronization (GS) between
different discrete-time chaotic (hyperchaotic) systems. The approach is based on a theorem …

By analyzing the issue of chaos synchronization, it can be noticed the lack of a general
approach, which would enable any type of synchronization to be achieved. Similarly, there is …

Chaos is the idea that a system will produce very different long-term behaviors when the
initial conditions are perturbed only slightly. Chaos is used for novel, time-or energy-critical …

This paper provides a contribution to the topic of full state hybrid projective synchronization
(FSHPS) by introducing an observer-based approach that enables synchronization to be …