The b-exponential map: A generalization of the logistic map, and its applications in generating pseudo-random numbers
MC Shastry, N Nagaraj, PG Vaidya - arXiv preprint cs/0607069, 2006 - arxiv.org
A 1-dimensional generalization of the well known Logistic Map is proposed. The proposed
family of maps is referred to as the B-Exponential Map. The dynamics of this map are
analyzed and found to have interesting properties. In particular, the B-Exponential Map
exhibits robust chaos for all real values of the parameter B>= e^(-4). We then propose a
pseudo-random number generator based on the B-Exponential Map by chaotically hopping
between different trajectories for different values of B. We call this BEACH (B-Exponential All …
family of maps is referred to as the B-Exponential Map. The dynamics of this map are
analyzed and found to have interesting properties. In particular, the B-Exponential Map
exhibits robust chaos for all real values of the parameter B>= e^(-4). We then propose a
pseudo-random number generator based on the B-Exponential Map by chaotically hopping
between different trajectories for different values of B. We call this BEACH (B-Exponential All …
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