Recently, a pixel-chaotic-shuffling (PCS) method has been proposed by Huang et al. for encrypting color images using multiple chaotic systems like the Henon, the Lorenz, the Chua, and the Rossler systems. All of which have great encryption performance. The authors claimed that their pixel-chaotic-shuffle (PCS) encryption method has high confidential security. However, the security analysis of t...

In this paper, a sliding mode control law is designed to control chaos in a class of fractional order new Lorenz-like chaotic systems. By using the sliding mode control method, the states of the fractional-order system have been stabled, even if the system with uncertainty is in the presence of external disturbance. The stability of the corresponding equilibria is also argued similarly to the i...

A generic stationary instability that arise in quasi-reversible systems is studying, which is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the unified description of this bifurcation and the dynamics exhibits by this model. In particular, the chaotic behavior—homoclinic Shilnikov chaos—exhibits by this model. A ...

Spatially extended excitable systems exhibit a variety of spatiotemporal dynamics — from stable to chaotic. These dynamics can change under pathological conditions and impair normal functions. Thus being able to control the altered dynamics for improved functioning has potential for wide ranging applications in real and artificial systems. Here we propose a simple and general method that can be...

This paper investigates the design problem of constructing state feedback controllers for regulating the output of the unified chaotic system (Lü, Chen, Cheng and Celikovsky, 2002).Explicitly, state feedback controllers have been derived to regulate the output of the unified chaotic system so as to track constant reference signals. The control laws are derived by means of the regulator equation...

A function projective synchronization is defined to synchronize two different systems up to a scaling function matrix f with different initial values. The function projective synchronization is more general than the complete synchronization, the generalized projective synchronization and the modified projective synchronization. The corresponding framework of synchronization is set up and used t...

We present two hypotheses on the mathematical mechanism underlying bursting dynamics in a class of differential systems: (1) that the transition from continuous firing of spikes to bursting is caused by a crisis which destabilizes a chaotic state of continuous spiking; and (2) that the bursting corresponds to a homoclinicity to this unstable chaotic state. These propositions are supported by a ...

The present paper is aimed at introducing a new algorithm for image encryption using chaotic tent maps and the desired key image. This algorithm consists of two parts, the first of which works in the frequency domain and the second, in the time domain. In the frequency domain, a desired key image is used, and a random number is generated, using the chaotic tent map, in order to change the phase...

The problem discussed in this paper is the effect of latency time on the OGY chaos control methodology in multi chaotic systems. The Smith predictor, rhythmic and memory strategies are embedded in the OGY chaos control method to encounter loop latency. A comparison study is provided and the advantages of the Smith predictor approach are clearly evident from the closed loop responses. The comple...