There exists a great number of work related to chaotic systems investigated by many researchers, especially about Lorenz chaotic system. If the order of differentiation of variables are fractional, the systems are called fractional chaotic systems. In this work a webbased interface is designed for fractional composition of five different chaotic systems. The interface takes initial and fraction...

The control approach for chaotic systems is one of the hottest research topics in nonlinear area. This paper is concerned with the controller design problem for chaotic systems. The particle swarm optimization (PSO) algorithm is firstly proposed to search for the weights of the Chebyshev neural networks (CNNs), and then an adaptive controller for the chaotic systems is designed based on the PSO...

Chaotic signal characteristics allow powerful encryption methods and development of more secure communication systems. In studies conducted in recent years, chaotic masking, chaotic modulation, parametric modulation, inclusion, chaotic shift keying and similar methods [1-6] have been used. Most of these studies are based on synchronization of chaotic systems present in the receiver and transmit...

This paper investigates the global chaos synchronization of identical Qi four-wing chaotic systems (Qi et al., 2008), identical Liu four-wing chaotic systems (Liu, 2009) and identical Wang chaotic systems (Wang et al., 2009). The stability results derived in this paper for the complete synchronization of the three pairs of identical four-wing chaotic systems are established using Lyapunov stabi...

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 ...

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...