Synchronisation of chaotic systems is an important research problem in chaos theory. In this research work, a novel sliding mode control method is proposed for the global chaos synchronisation of identical chaotic systems. The general result derived using novel sliding mode control method is established using Lyapunov stability theory. As an application of the general result, the problem of glo...

A new scheme for generating good pseudo-random numbers, based on the composition of chaotic maps, is studied. In this method, hereafter called the chaotic stream cipher, one first uses a known chaotic dynamical system to generate a sequence of pseudo-random bytes, then applies certain permutations to them, using the discretized version of another two-dimensional chaotic map. Standard statistica...

This paper introduces fully digital implementations of four different systems in the 3rd order jerkequation based chaotic family using the Euler approximation. The digitization approach enables controllable chaotic systems that reliably provide sinusoidal or chaotic output based on a selection input. New systems are introduced, derived using logical and arithmetic operations between two system ...

The search for generation approaches to robust chaos has received considerable attention due to potential applications in cryptography or secure communications. This paper is of interest regarding a 1-D sigmoidal chaotic map, which has never been distinctly investigated. This paper introduces a generic form of the sigmoidal chaotic map with three terms, i.e., xn+1 = ∓Af NL(Bxn) ± Cxn ± D, where...

In this work, a new synchronization was achieved between two different chaotic systems in behavior (Chua-Lorenz) by coupling them together with factor (k) and it noted that Lorenz's completely transformed Chua's changing the value of factor. It is observed when values are zero, asynchronous, its 100, there partial synchronization, while 100000, so we get perfect synchronization. Where possible ...

In the last ten years the interest for chaos has increased due to the great resources represented by the dynamical chaotic systems which can be used to assure secure and wide band communications. Also, chaotic systems are widely used to design analog and digital blocks for communication systems. In this paper we present some aspects regarding the hardware implementation of one well-known digita...

In this paper, a generalized synchronization scheme, which is called function synchronization, for chaotic systems is studied. Based on Lyapunov method and active control method, we design the synchronization controller for the system such that the error dynamics between master and slave chaotic systems is asymptotically stable. For verification of our theory, computer and circuit simulations f...

Evolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems. The novelty of the approach is that the selected controlled discrete dissipative chaotic system is used also as the chaotic pseudorandom number generator to drive the mutation and crossover process in the DE. The idea was to u...

As an important application of chaotic dynamical systems, chaos-based secure communication and cryptography attracted continuous interest over the last decade. It studies methods of controlling deterministic systems with chaotic behavior. Moreover, it is easy to notice the possibility of substantial variation of the characteristics of chaotic systems by relatively small variations of their para...