Random Number Generator and Secure Communication Applications Based on Infinitely Many Coexisting Chaotic Attractors

Abstract

This paper aims to investigate a 3D chaotic system for applications on the secure communication system and random number generation. There exists a sinusoidal nonlinearity in the system making it uncommon of its type. Infinitely many chaotic attractors indicate multi stability of the system, which is desired; for instance, the same system can be implemented for a multiple channel secure communication and switching between the channels can be achieved just by changing initial conditions. A brief mathematical analysis of the system is performed and the circuit of the system is designed using active circuit elements. A synchronized system for secure communication is mathematically analyzed on MATLAB and simulated on PSPICE OrCAD. Synchronization of the system with the proposed circuit structure shows that this dynamic system can be used for chaotic communication. In addition, as an application of cryptography, a NIST* statistical test is performed on 10 bitstreams generated by the system.The bit stream produced has successfully passed all tests giving results in the length of the generated bit.