Chaotic Sequence Derived from Bifurcation Dependency [ ]


In this paper, we show that logistic map exhibit sufficient dependence on bifurcation parameter and small perturbation of the bifurcation parameter can generate many sequences. Since there are dense islands of periodicity in the chaotic region of the map, Lyapunov exponent was employed to isolate the chaotic domains. Two-bit encoding was used, in other to reduce the quantization error. The threshold for encoding was determined by subjecting a training sequence to a compression algorithm, thus ensuring balance sequence.