The Research and Analysis Based on a New Hybrid Chaotic Sequences

The chaos sequence generated by the chaotic map methods usually has unsatisfactory performances. To solve this problem, this paper proposes a novel method with chaos sequence, which blends the Chebyshev chaotic map and one-dimensional chaotic map with infinite collapse in finite interval. Both MATLAB simulations and performance analyses results show that the proposed method has much improved chaotic performances than the single Chebyshev sequence or the chaotic sequence with infinite collapses, by analyzing and simulating the sequence of traversal feature, period doubling properties, Lyapunov exponents, initial value sensitivity, autocorrelation, and the uniformity of sequence.