In this paper, we define bi-periodic (p,q)-Fibonacci and (p,q)-Lucas sequences, which generalize Fibonacci type, Lucas type using recurrence relations of sequences. Generating functions Binet formulas that allow us to calculate the nth terms these sequences are given convergence properties their consecutive examined. Also, prove some fundamental identities conform well-known

Background and Aims: Tomato yellow leaf curl virus (TYLCV) is one of the most destructive viruses of tomato that leads to reduced tomato yield up to 100% in tropical and subtropical regions. In this study, the complete sequence of TYLCV isolate from Hormozgan province, Iran and its recombination evsent was determined. Methods: TYLCV infected tomato was collected from Hormozgan province. Total D...

Two-dimensional scattering of TE polarized light by a finite periodic array of metallic nanocylinders is investigated by using a model of arrays of circular cylinders periodically distributed on layered circular rings. Index Terms Optical responses, finite array of metallic nanocylinders, resonant interactions, localized surface plasmons.

By using the sieve method of combinatorics, we study k-error linear complexity distribution of 2-periodic binary sequences based on Games-Chan algorithm. For k = 4, 5, the complete counting functions on the k-error linear complexity of 2-periodic balanced binary sequences (with linear complexity less than 2) are presented. As a consequence of the result, the complete counting functions on the 4...

A various types of repeat patterns are abundant in genomic sequence, and are associated with the biological phenomena at distinct levels. In particular, comparative analyses of whole-genome-sized sequence data reveal that the periodic sequences cause the segmental duplication that is a type of chromosomal structural arrangement [2]. In this study, we analyze the relationships between the large-...

Partial differential equation solvers spend most of their computation time performing nearest neighbor (stencil) computations on grids that model spatial domains. Tiling is an effective performance optimization for improving the data locality and enabling course-grain parallelization for such computations. However, when the domains are periodic, tiling through time is not directly applicable du...

We study terahertz radiation induced ratchet currents in low dimensional semiconductor structures with a superimposed one-dimensional lateral periodic potential. The periodic potential is produced by etching a grating into the sample surface or depositing metal stripes periodically on the sample top. Microscopically, the photocurrent generation is based on the combined action of the lateral per...

In this research, hydrodynamics of the Bubble Train Flows (BTF) in circular capillaries has been investigated by Direct Numerical Simulation (DNS).The Volume of Fluid Based (VOF) interface tracking method and streamwise direction periodic boundary conditions has been applied. The results show that there exists an appropriate agreement between DNS and experimental correlation results. The re...

In this paper, a new X band Metamaterial (MTM) based ferrite phase shifter is presented. The phase shifter is excited by circular polarized wave base on combination of TE10 and TE01 modes in a square waveguide. In order to synthesize negative refractive index metamaterial (NIM), negative permeability of ferrite slabs in extraordinary mode is mixed with the negative permitivity of printed period...

In this paper we present regions of motion and periodic orbits in the spatial elliptic restricted three body problem (ER3BP). Periodic orbits and regions of motion are fundamental keys to understand any dynamical system; for this reason the Hill’s surfaces or the families of halo orbits have been extensively studied in the frame of the circular restricted three body problem. It is our opinion t...