Application of a Chaotic Synchronization System to Secure Communication

Abstract

This work describes a novel scheme that applies a Sprott master/slave chaotic synchronization system to secure transmission. A sliding plane is chosen to design a sliding mode controller to ensure robustness. In the presence of an external disturbance and system uncertainty, the slave chaotic circuit system is then synchronized with the master. The Lyapunov theorem verifies that the proposed controller is stable and robust. Simulation results indicate that the synchronization error state asymptotically converges to the origin of the phase plane, implying that the master/slave chaotic system synchronization is achieved while the sliding mode controller is in operation. While consisting of operational amplifiers, resistors, capacitors and diodes, the chaotic circuit system together with a sliding mode controller is subsequently implemented to validate the system synchronization. Finally, the chaotic system combined with cryptography is embedded into a chaotic synchronization cryptosystem to resolve secure communications-related problems.

Chaotic communication using Pecora Carroll complete replacement and parameter modulation without controller

“…Therefore T s can be made much less than T c by appropriate choice of parameters. Another advantageous point of the proposed scheme is that there is no need to apply controller at the receiver as is required by most of the existing scheme for synchronization and parameter estimation like active control [10][11], adaptive control [12][13][14], control by adaptive sliding mode [5][6] and many other proposed schemes. Only complete replacement [7] was found sufficient to achieve synchronization.…”

Synchronization of Vilnius Chaotic Oscillators With Active and Passive Control

“…6 Recently, several new chaotic attractors have been discovered, [7][8][9] and many more will be revealed due to their potential applications especially in secure communication. [10][11][12] Chua's attractor is the most famous chaos circuit; the others are Colpitts and Wien-bridge 13 attractors. Likewise, Vilnius chaotic attractor is one of the circuitbased chaotic oscillators.…”

Nonlinear Unknown‐Input Observer‐Based Systems for Secure Communication

“…where Ψ ¼ 0, and the chaotic parameters are given by a, b, c fg ¼ {0:2, 0:2, 5:7} [43] or 0:398, 2, 4 fg [42]. Note that the Rossler system (4) contains only one nonlinear term.…”