We investigate explicit functions that can produce truly random numbers. We use the
analytical properties of the explicit functions to show that certain class of autonomous …

A novel approach to generate the pseudorandom-bit sequence from the asymptotic
deterministic randomness system is proposed in this Letter. We study the characteristic of …

We present a scheme whereby a static non-linear, non-invertible transmission function
performed by the electro-optic Mach-Zehnder modulator produces highly complex optical …

We investigate functions of type Xn= P (θzn), where P (t) is a periodic function, θ and z are
real parameters. We show that these functions produce truly random sequences. We prove …

Any real interaction process produces many equally possible, but mutually incompatible
system versions, or realisations, giving rise to the omnipresent, purely dynamic randomness …

Any real interaction process produces many incompatible system versions, or realisations,
giving rise to omnipresent dynamic randomness and universally defined complexity (arXiv …

For a class of nonlinear chaotic maps, the exact solution can be written as Xn= P (θkn),
where P (t) is a periodic function, θ is a real parameter and k is an integer number. A …

We investigate the connections between functions of type xn= p (θTzn) and nonlinear maps
coupled to non-invertible transformations. These systems can produce unpredictable …

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 …

We have analyzed phenology data and jumps in protein configurations with the non-linear
forecasting method proposed by May and Sugihara\cite {MS90}. Full plots of prediction …