Impulsive control of a chaotic system is ideal for designing digital control schemes where the control laws are generated by digital devices which are discrete in time. In this paper, several theorems on the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the chaotic systems can be asymptotically controlled to the origin by u...

In this paper, URUK, a discrete four-dimensional chaotic map, is proposed for secure communication. The 0-1 tests, the Lyapunov Exponent (LE) and National Institute of Standard Technology (NIST) which are typically used to verify randomness bits, employed evaluate dynamic behavior system based on variety criteria. Based results tests demonstrating system's characteristic random behavior, it rel...

This paper describes the security weaknesses of a recently proposed secure communication method based on chaotic masking using projective synchronization of two chaotic systems. We show that the system is insecure and how to break it in two different ways, by high-pass filtering and by generalized synchronization.

In this communication, open-plus-closed-loop (OPCL) coupling method is applied to make generalized synchronization between two non-linear chaotic dynamical systems. For this reason, a transformation matrix is considered which can be chosen arbitrarily. We have used five different cases to establish our claim. Chaotic behaviours and the efficiency of the generalized synchronization using OPCL me...

Applying a pulse-train input to a spiking chaotic oscillator, the chaotic dynamics is quantized. The quantized system can output various pulse-trains that can be used as a rich coding source. Such quantized dynamics is analyzed rigorously using the computer. As an application, a basic multiplex communication system with pulse interval modulation is also shown.

Chaotic systems have become widely adopted as an effective way for secure data communications, because of its simple mathematical complexity and good security. The relationship between encryption algorithms chaos has gained a lot attention in the past few years, since it avoids spreading well lower transmission delay costs. In this paper novel 3D discrete chaotic map is proposed communication n...