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In Predictable Outcome of Some Complex Function on Space 176 Views
The Main advantage of this work is to concentrate on the outcome of the function as a function of ( ) , ( ) . This type of work has been studied deeply by [HIL , 12] . Here , we see that the outcomes of the function are depending on the of the function ( ) . More deeply , s value will appear as a matrix of zero triangle values depending 0n the positive of on the real line .

Enhancing Replacement Policy of ContentCentric Networking to Support Reaction toward Natural Disaster 248 Views
Replacement policy in ContentCentric Networking (CCN) is a necessary and current, function as an important part in Interest packet caching. Pending Interest Table (PIT) is the main and core cache tables in CCN and plays a signi?cant role for recording the information of Interest packets that are forwarded but are still waiting for matching with incoming Data packets. However, PIT management is more fundamental with regard to CCN operations for better memory ef?ciency. The PIT size determination of the forwarding system is a difficult problem in PIT management. Due to the limited PIT sizing, PIT replacement is utilized to remove the current entry from PIT and constructing a new space for the incoming entry to it. In a disaster area, this problem is due to the massive Interest packet that generating by survivors from the disaster and rescuers. The PIT over?ow could be subjected due to use of long Interest lifetimes that would simultaneously increase the number of entries in the PIT. Thus particularly when there is no flexible replacement policy, hence affecting PIT performance. Therefore, the ultimate aim of this paper is to develop the replacement policy that can deal with this problem. The proposed policy is a PIT management based on CCN PIT replacement policy for managing the PIT during a natural disaster, which can lead to mitigating PIT over?owing. The results showed the overall scenarios, the proposed policy better PIT memory usage as well as decreasing the Interest drop, delay time, Interest lifetime and Interest retransmission. A positive signi?cance in?uence in this work would be to presents a formulate a rule as a function which can decrease the delay and thus be leading to increasing PIT utilization, which will be very much useful for survivors, emergency rescue teams as well as emergency operation centers.

Calculation of The Sensitivity and transitivity of f x y = ( , ) ?? ?1  ? a y bx?  + ?? ? x ? SAMAH 179 Views
In this work ,We study the chaotic behavior for f (x, y) = ? ?? ? ? ?? ? ? a y +bx x 1 through employment sensitivity dependent on initial condition and transitive by using the software (Matlap) these are implement by varying the parameter of system. We found the parameters which make f(x,y) sensitive does not make him transitive and vise versa.

Sopen set in Bitopological space 243 Views
The primary purpose of this paper is to introduce and study a new types of open sets called Sopen sets , continuous , separation axioms are study with respect to the new open set .

Sensitivity Dependent on Initial Condition of Rossler System 257 Views
In this work we search the chaotic behavior for the Rossler system through employment sensitive depends on initial condition by using the software (Matlab) we get sensitive depends on initial condition (chaos) by varying the parameter of system.

ON WEAKLY ?CONTINUOUS FUNCTIONS IN BITOPOLOGICAL SPACES 219 Views
As a generalization of ? continuous functions, we introduce and study several properties of weakly ? continuous functions in Bitopological spaces and we obtain its several characterizations Keywords and phrases. Bitopological spaces, ? open sets ,weakly ? continuous function.

The Dynamics of the Fixed Points to Modified Jerk Map 248 Views
Recently, Jerk equation is the thirdorder explicit autonomous differential equation, is noticed to be a motivating subclass of dynamical systems. Where many of regular and chaotic motion features can be reveal from these systems. In this paper, a simplified version Jerk map is presented. Different properties of dynamical behavior is acquired by replacing three dimensional systems to two dimensional one. Where a new parameter is added with the same properties. Moreover, we study the fixed point of modified Jerk map with the form Mj a,b = (y ? ax + by2) = (xy) and the general properties of them, so, we find the contracting and expanding area of this map. Also, we determine fixed point attracting repelling or saddle.

Studying the Chaotic of Modified Jerk Map based on Lyapunov Exponents, Topological Entropy, and Sensitivity 231 Views
n the last four decades, Chaos has been studied intensively as an interesting practical phenomenon. Hence, it is considered to be one of the most important branches in mathematics science that deals with the dynamic behavior of systems which are sensitive to the initial conditions. It has therefore been used in many scientific applications in the sciences of chemistry, physics, computers, communications, cryptography, and engineering as well as in bits generators, and psychology. However, there are many issues that need to be considered and highlighted, such as future prediction, computational complexities, and unstable behavior of dynamic system. The dynamic system must contain three characteristics in order to be considered a chaotic system which is first, to be sensitive to the initial conditions; second, to have dense periodic orbits and finally to be topologically mixing. In the previous work, we studied the fixed point of ?? ????? + ???? =? 2 ? in order to find the contracting and expanding area of this a modified Jerk map with the form ???? ??,?? map, as well as to define the area in which the fixed points of attracting, repelling, or saddle are located. In this paper, we continue to address the same problem by Modified Jerk Map. We prove that it has a positive Lypaunov exponent if a=1 and has sensitivity dependence to initial condition if a>1 and we give an estimate of topological entropy. Finally, to simulate our equations and obtain related results, we have used Matlab program by implementing a Lypaunov exponent and drawing the sensitivity of ???? ??,?? .

Chaotic Properties of the Modified Hénon Map 186 Views
Abstract: In this study, a dynamical system of modified Hénon map on two dimension with the form MHa,b (yx) = ( 1+ ax + cos 2?y by ) is studied. We find some general properties, and we show some chaotic properties of it. The proposed paper prove that the modified Hénon map has positive Lypaunov exponent and sensitivity dependence to initial condition. Fpr applying the suggested scheme, Mat lab programs are used to draw the sensitivity of modified Hénon map and compute the Lyapunov exponent.

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