This paper deals with the method of simulation of fractional order chaotic systems. We present a brief survey of the existing fractional order chaotic systems. These systems are described by three fractional differential equations where order of derivatives is a non-integer, arbitrary order. The total order of chaotic system is less than three. We present an approach where we demonstrate by an ...

This paper proposes the chaos control and the modified projective synchronization methods for chaotic dissipative gyroscope systems. Because of the nonlinear terms of the gyroscope system, the system exhibits chaotic motions. Occasionally, the extreme sensitivity to initial states in a system operating in chaotic mode can be very destructive to the system because of unpredictable behavior. In o...

Keywords: System of ordinary quadratic differential equations Linear transformations Boundedness Limit cycle Chaotic attractor Saddle focus Ricker discrete population model a b s t r a c t The wide class of 3-D autonomous systems of quadratic differential equations, in each of which either there is a couple of coexisting limit cycles or there is a couple of coexisting chaotic attractors, is fou...

As a model of decohering environment, we show that quantum chaotic system behave equivalently as many-body system. An approximate formula for time-evolution of the reduced density matrix of a system interacting with a quantum chaotic environment is derived. This theoretical formulation is substantiated by numerical study of decoherence of two qubits interacting with a quantum chaotic environmen...

The aim of this paper is to compare different prediction methods for chaotic deterministic systems. We consider three different methods to evaluate the dynamics of the systems : the Nearest Neighbors, the Radial Basis Functions and the Regression Tree. We use a comparison criterion suited to chaotic systems : the prediction horizon. The optimal prediction horizon is discussed with respect to th...

This article deals with synchronization between different chaotic systems such as Genesio-Tesi and Qi system using adaptive control method. Based on Lyapunov stability theory, the synchronization between a pair of chaotic systems with fully unknown parameters is derived. An adaptive control law and a parameter update rule for unknown parameters are designed such that the chaotic Qi system is co...

Received Jan 5, 2017 Revised Jun 25, 2017 Accepted Jul 10, 2017 In this paper, the synchronization problem of T chaotic system and Lu chaotic system is studied. The parameter of the drive T chaotic system is considered unknown. An adaptive projective lag control method and also parameter estimation law are designed to achieve chaos synchronization problem between two chaotic systems. Then Lyapu...

This paper presents a secure image cryptography telecom system based on a Chua's circuit chaotic noise generator. A chaotic system based on synchronised Master–Slave Chua's circuits has been used as a chaotic true random number generator (CTRNG). Chaotic systems present unpredictable and complex behaviour. This characteristic, together with the dependence on the initial conditions as well as th...