Observer-based chaos synchronization in the generalized chaotic Lorenz systems and its application to secure encryption

Abstract

This paper studies the application of the observerbased chaos synchronization in the so-called Generalized Lorenz systems to secure encryption. More precisely, a modified version of the Chaos Shift Keying (CSK) scheme for secure encryption and decryption of data is proposed. Recall, that the classical CSK method determines the correct value of binary signal through checking which unsynchronized system is getting synchronized. On the contrary, our novel method, called as the Anti-Synchronization Chaos Shift Keying (ACSK) method, determines wrong value of binary signal through checking which already synchronized system is loosing synchronization. Even when using two very close each to other chaotic systems, the anti-synchronization is thousand times faster than synchronization. As a consequence, unlike the classical CSK, the method proposed here requires very reasonable amount of data to encrypt and time to decrypt a single bit. Moreover, its security can be systematically investigated showing its good resistance against typical decryption attacks.

Approximate Synchronization of Complex Network Consisting of Nodes With Minimum-Phase Zero Dynamics and Uncertainties

“…The control law ( 15) is implemented. Note, however, that the nonlinear terms in (15) should exactly match the corresponding terms in (8). However, this might not always be the case as this typically requires precise knowledge of system's parameters.…”

“…The associate editor coordinating the review of this manuscript and approving it for publication was Weiguo Xia . synchronization, the state variables of every system converge towards each other [2], [8].…”

Desynchronization Chaos Shift Keying Method Based on the Error Second Derivative and Its Security Analysis

“…The purpose of this paper is to provide further detailed analysis of the desynchronization estimates of yet another improvement [Čelikovský & Lynnyk, 2009b] of the just mentioned DECSK secure encryption scheme based on the GLS and presented in [Čelikovský et al, 2006a, 2006bČelikovský & Lynnyk, 2009a;Lynnyk &Čelikovský, 2010]. This improvement [Čelikovský & Lynnyk, 2009b] consists in keeping the rate of one iteration per bit for about 95% of the carrying chaotic signal.…”

Improved Global Asymptotical Synchronization of Chaotic Lur'e Systems With Sampled-Data Control

“…S INCE THE pioneering work by Pecora and Carroll originally proposed the master-slave (drive-response) concept for achieving the synchronization of coupled chaotic systems [1], researchers have proposed a variety of alternative schemes for ensuring the control and synchronization of such systems (see, e.g., [1]- [18]) and have demonstrated their potential applications in various fields, including chaos generator design, secure communication, chemical reaction, biological systems, and information science (see, e.g., [4]- [6]). On the other hand, Lur'e systems can represent a general class of nonlinear systems; therefore, a number of master-slave synchronization schemes for chaotic Lur'e systems have been proposed (see, e.g., [9]- [18]).…”