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...

In recent years, the study of synchronization of identical chaotic systems subjected to a common fluctuating random driving signal has drawn considerable interest. In this communication, we report that it is possible to achieve synchronization between two identical chaotic systems, which are not coupled directly but subjected to an external chaotic signal. The external chaotic signal may be obt...

This paper introduces multifractal theory into the research of chaotic channels, and a novel model of chaotic channel is established from nonlinear science standpoint. By studying the relationship between multifractal dimensions and work environments, increments probability distribution, and statistical self-similarity of low power line communication (L-PLC) channel which is a typical chaotic c...

This Letter further investigates the synchronization of a unified chaotic system via different methods. Several sufficient theorems for the synchronization of the unified chaotic system are deduced. A scheme of secure communication based on the synchronization of the unified chaotic system is presented. Numerical simulation shows its feasibility.  2002 Elsevier Science B.V. All rights reserved.

In this study, chaotic itinerancy phenomena on coupled chaotic circuits are investigated. A piecewise linear element included in a chaotic circuit consists of 4n 1 segments. In this circuit, we can confirm ndouble scrolls or various scrolls attractors. The features of the obtained results are respected for various engineering systems such as chaos communication systems with robustness against v...

Secure communication is a matter of genuine concern that includes means whereby entities can share information without a third party’s interception. Key agreement protocols are one of the common approaches in which two or more parties can agree upon a key, which precludes undesired third parties from forcing a key choice on them. Over the past decade, chaos-based key agreement protocols have be...

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

In recent years, a large amount of work on chaos-based cryptosystems has been published (Kocarev (2001); Millérioux et al. (2008)). A general methodology for designing chaotic and hyperchaotic cryptosystems has been developed using the control systems theory (Grassi et al. (1999); Liao et al. (1999); Yang et al. (1997a;b)). The chaotic communication system is closely related to the concept of c...