Abstract
In this paper, a novel unimodal chaotic system is presented which has stable Lyapunov exponents, a wider range of parameters and a larger phase space. In order to generate evenly distributed chaotic sequences, a general homogenization scheme is proposed with a rigorous mathematical proof. To generate high-quality pseudo-random number sequences, a PRNG scheme based on cross-coupling is designed. Theoretical derivation and experimental analysis fully demonstrate that the proposed PRNG has the ability to produce high-security random numbers with excellent random characteristics.
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