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In this Letter, we focus on the deterministic randomness theory. Based on Lissajous map, which is constructed by the skewed parabola map and the non-invertible nonlinearity transform, we present conditions for generating asymptotic deterministic randomness. We rectify several popular statements, such as the function xn=sin2(θTzn) cannot generate deterministic randomness, and the corresponding Lyapunov...
In this Letter, we introduce a new cryptosystem by integrating the asymptotic model of deterministic randomness with the one-way coupled map lattice (OCML) system. The key space, the encryption efficiency, and the security under various attacks are investigated. With the properties of deterministic randomness and spatiotemporal dynamics, the new scheme can improve the security to the order of computational...
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