No abstract

No abstract

We give a hierarchy of many-parameter families of maps of the interval [0, 1] with an invariant measure and using the measure, we calculate Kolmogorov-Sinai entropy of these maps analytically. In contrary to the usual one-dimensional maps these maps do not possess period doubling or period-n-tupling cascade bifurcation to chaos, but they have single fixed point attractor at certain region of parameters space, where they bifurcate directly to chaos without having period-n-tupling scenario exactly at certain values of the parameters.

No abstract

A combined analytical approach is proposed to investigate the spin-selectivity properties of DNA nanowires considering the spin degree of freedom in the extended Peyrard–Bishop–Holstein model. On the basis of a real chain of DNA sequence, no completely pure spin current through DNA is shown, instead, one of the spin currents is dominant over another and creates a spin filtering effect. In several parameter regions, the net charge current is low, and thus a nearly pure spin current could be reported. We examined the effects of external fields, temperature, and sequence variation on spin-dependent charge transfer in DNA. The results show peaks in the DNA spin polarization in some parameter values. A DNA coder can be created according to these polarization peaks. Transporting information by using the DNA spin polarization is interested in information theory. Meanwhile, other parameter values exist, where nearly pure spin currents appear. The appearance of these islands can be confirmed and predicted using the Rényi fractal dimension approach.