The B-Exponential Map: A Generalization of the Logistic Map, and Its\n Applications In Generating Pseudo-random Numbers

2006/07/14 by Mahesh C. Shastry, Shastry, Mahesh C, Nithin Nagaraj +3 · 1 citation
Computer Science · Physics and Astronomy · #Chaos-based Image/Signal Encryption #Chaos control and synchronization

paper · pdf · doi:10.48550/arxiv.cs/0607069

Abstract

A 1-dimensional generalization of the well known Logistic Map is proposed.\nThe proposed family of maps is referred to as the B-Exponential Map. The\ndynamics of this map are analyzed and found to have interesting properties. In\nparticular, the B-Exponential Map exhibits robust chaos for all real values of\nthe parameter B >= e^(-4). We then propose a pseudo-random number generator\nbased on the B-Exponential Map by chaotically hopping between different\ntrajectories for different values of B. We call this BEACH (B-Exponential\nAll-Chaotic Map Hopping) pseudo-random number generator. BEACH successfully\npasses stringent statistical randomness tests such as ENT, NIST and Diehard. An\nimplementation of BEACH is also outlined.\n

Citations

• Multi-Map Orbit Hopping Chaotic Stream Cipher

Cited by

• Robust chaos with prescribed natural invariant measure and Lyapunov exponent

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