On the Judgement of Full-Period Sequences and a Novel Congruential Map with Double Modulus on Z(p^n)

This paper studies the judgement problem of full-period maps on Z(p^n) and proposes a novel congruential map with double modulus on Z(p^n). The full-period properties of the sequences generated by the novel map are studied completely. We prove some theorems including full-period judgement theorem on Z(p^n) and validate them by some numerical experiments. In the experiments, full-period sequences are generated by a full-period map on Z(p^n). By the binarization, full-period sequences are transformed into binary sequences. Then, we test the binary sequences with the NIST SP 800-22 software package and make the poker test. The passing rates of the statistical tests are high in NIST test and the sequences pass the poker test. So the randomness and statistic characteristics of the binary sequences are good. The analysis and experiments show that these full-period maps can be applied in the pseudo-random number generation(PRNG), cryptography, spread spectrum communications and so on.

Star Products of Quartic Maps with Two Equally High Peaks

The double-well potential systems and a hybrid optical bistability device with liquid crystal have a relation to quartic maps with two equally high peaks.The star products for all doubly superstable kneading sequences in the kneading plane are presented,the generalized Feigenbaum's metric universalities such as scaling factors{αc,αD,αE}and convergent rates{δ_(a),δ_(η),δ_(a,η)}are obtained.

Thermal radiation effect on unsteady threedimensional MHD flow of micropolar fluid over a horizontal surface of a parabola of revolution

This paper explores the time-dependent magnetohydrodynamics(MHD)micropolar fluid flow over a three-dimensional variable stretching surface in the occurrence of radiation effect.The model time-dependent partial differential equations(PDE’s)in three independent variables are transformed into ordinary differential equations(ODE’s)by the suitable selfsimilarity variables.Homotopy perturbation method(HPM)and Runge-Kutta(RK)4^(th) order method along with shooting technique are used in the present model.And also,HPM results are compared with Runge-Kutta(RK)4^(th) order method along with the shooting technique.The velocity,micro rotation in x and y directions,temperature,skin friction factor and heat transfer rates are examined for the emerging parameters.The velocity profiles and momentum boundary layer thickness intensification with increasing values of the vortex viscosity parameter.The higher value of a magnetic parameter declines the skin friction coefficient.This type of investigation may be profitable to the polymer fluids,exotic lubricants,electronic chips,artificial fibers,drawing of copper wires,etc.