Name
Title | ||
|---|---|---|
The B-Exponential Map: A Generalization of the Logistic Map, and Its Applications In Generating Pseudo-random Numbers |
Abstract | ||
|---|---|---|
Abstract 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-Chaotic Map Hopping) pseudo-random number generator. BEACH successfully passes stringent statistical randomness tests such as ENT, NIST and Diehard. An implementation of BEACH is also outlined. B-Exponential Map |
Year | Venue | Keywords |
|---|---|---|
2006 | Clinical Orthopaedics and Related Research | pseudo random number generator,1 dimensional,random testing,logistic map,exponential map |
Field | DocType | Volume |
Discrete mathematics,Tent map,Statistical randomness,Logistic map,NIST,Exponential map (Riemannian geometry),Mathematics,Pseudorandom number generator | Journal | abs/cs/060 |
Citations | PageRank | References |
4 | 0.46 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mahesh C. Shastry | 1 | 19 | 3.03 |
| Nithin Nagaraj | 2 | 22 | 9.28 |
| Prabhakar G. Vaidya | 3 | 5 | 1.16 |