# Research Journal of Mathematics and Computer Science

## Chaotic Random Sequence Generated from Tent Map on Variant Maps

Research Article of Research Journal of Mathematics and Computer Science Chaotic Random Sequence Generated from Tent Map on Variant Maps Yifeng Zheng1, Jeffrey Zheng1 1School of Software, Yunnan University, Kunmming 650091, China Chaotic sequences, have being widely used in mobile communications and cyberspace security. Using the sequences, various stochastic analysis schemes are developed. The Tent map is one of the widely used chaotic maps with good ergodic uniformity. In this paper, the variant maps are used to illustrate the Tent chaotic sequence under different lengths and control parameters to show the statistical characteristics of sequences. Results are shown that when the control parameter of Tent map is close to 0.5, the generated sequences have the symmetrical distribution, that is more stable if the sequence is longer. Keywords:  tent map, chaotic random sequence, variant map, visual testing ...

## Generating New Orthogonal Binary Sequences Using Quotient Rings Z/pm Z

Research Article of Research Journal of Mathematics and Computer Science Generating New Orthogonal Binary Sequences Using Quotient Rings Z/pm Z Dr. Ahmad Hamza Al Cheikha Dep. of Mathematical Science, College of Arts-science and Education, Ahlia Uni., Manama, Bahrain Orthogonal Sequences (as M-Sequences, Walsh Sequences, …) are used widely at the forward links of communication channels to mix the information on connecting to and at the backward links of these channels to sift through this information is transmitted to reach the receivers this information in a correct form, especially in the pilot channels, the Sync channels, and the Traffic channel. This research is useful to generate new sets of orthogonal sequences (with the bigger lengths and the bigger minimum distance that assists to increase secrecy of these information and increase the possibility of correcting mistakes resulting in the channels of communication) from quotient rings Z/pmZ, where Z is the integers and p is prime, replacing each event number by zero and replacing each odd number by one. Keywords: Walsh Sequences, M-sequences, Additive group, Coefficient of Correlation, Orthogonal sequences, Quotient ring ...

## Traffic Shaping for Congestion Control

Review Article of Research Journal of Mathematics and Computer Science Traffic Shaping for Congestion Control Kuyoro Shade O., Okolie Samuel O. and Oyebode Aduragbemi* Department of Computer Science, Babcock University, Nigeria The problem of congestion is not new to the field of telecommunications; its root can be traced back to the very foundations of the internet. Most, if not all networks, are currently faced with this problem. The distribution of resources on the network is very vital. The fact that resources are limited brought about major problem such that these limited resources would be shared among various workstations and nodes. As the network grows, and the number of workstations and nodes increases; resources become integral and if not properly managed no meaningful work will be done in such networks. Congestion control, which involved managing resources when the network utilization becomes so high, is of utmost importance so as to avoid congestion collapse. The complex calculations and computation carried out in the existing solutions, increase utilization as well as the problem of congestion. Traffic shaping algorithms provide solutions with little overhead and thus would be preferred to use in medium sized networks. This work proposes traffic shaping as a better solution for congestion control especially in medium size networks. Keywords: Congestion; Algorithms; Traffic Shaping; Overhead; Networking ...

## Comparative Study of a Class of One-Step Methods for the Numerical Solution of Some Initial Value Problems in Ordinary Differential Equations

Research Article of Research Journal of Mathematics and Computer Science Comparative Study of a Class of One-Step Methods for the Numerical Solution of Some Initial Value Problems in Ordinary Differential Equations 1 S.E. Fadugba and 2T. E. Olaosebikan 1,2 Department of Mathematics, Ekiti State University, Ado Ekiti, Nigeria We emphasized explicitly on the derivation and implementation of a new one-step numerical method for the solution of initial value problems in ordinary differential equations. In this paper, we aimed at comparing the newly developed method with other existing methods such as Euler’s method, Trapezoidal rule and Simpson’s rule. Using these methods to solve some initial value problems of first order ordinary differential equations, we discovered that the results compared favorably, which led to the conclusion that the newly derived one-step numerical method is approximately correct and can be used for any related first order ordinary differential equations. Keywords: Numerical solution, One-step method, Ordinary differential equation ...

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