[PDF] Top 20 Dynamics of a Rational Difference Equation
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Dynamics of a Rational Difference Equation
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 970720, 14 pages doi 10 1155/2010/970720 Research Article Dynamics of a Rational Difference Equation Xiu Mei Jia[.] ... See full document
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Dynamics of higher order rational difference equation $x_{n+1}=(\alpha+\beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$
... the rational difference equation that was investigated by Kulenovic et ...[The Dynamics of x n+1 = A+Bx α+βx n +Cx n n−1 , Facts and ... See full document
17
DYNAMICS OF THE RATIONAL DIFFERENCE EQUATION
... in rational difference equa- tions are still open to for research ...is rational difference equations has been significantly ...present rational difference equation which ... See full document
11
Dynamics of a two dimensional system of rational difference equations of Leslie Gower type
... In the next section, we present some general results about competitive systems in the plane. Section 3 contains some basic facts such as the non-existence of period-two solution of System (1). Section 4 analyzes local ... See full document
29
Dynamics of a two dimensional competitive system of rational difference equations with quadratic terms
... local dynamics near a fixed point of a map when there exists a characteristic vector whose coordinates have negative product and such that the associated eigenvalue is ... See full document
32
Global dynamics of some systems of higher order rational difference equations
... In the present work, we study the qualitative behavior of two systems of higher-order rational difference equations. More precisely, we study the local asymptotic stability, instability, global asymptotic stability ... See full document
23
Global Dynamics of a Competitive System of Rational Difference Equations in the Plane
... 1.1 has a variety of dynamics that depend on the value of parameters. We show that system 1.1 may have between zero and two equilibrium points, which may have different local character. If system 1.1 has one ... See full document
30
Dynamics of the nonlinear rational difference equation $x {n+1}=\dfrac{A x {n \alpha} x {n \beta}+B
... nonlinear difference equations are capable of producing a complicated behavior regardless its ...nonlinear difference equations in proving that every solution of these equations conver to a period two ... See full document
17
Dynamics of a fourth order system of rational difference equations
... The theory of discrete dynamical systems and difference equations developed greatly dur- ing the last twenty-five years of the twentieth century. Applications of difference equations also experienced enormous growth in many ... See full document
15
A Toy Biological Modelling Through a Delayed Rational Difference Equation
... typical dynamics of the rational difference equation ...the rational function can be thought as a response function of a biological ... See full document
16
Investigation of the Class of the Rational Difference Equations
... During this study, we will need to many of the basic concepts. Before anything, the concept of equilibrium point is essential in the study of the dynamics of any physical system. A point ω in the domain of the ... See full document
9
Global Analysis of Solutions of a New Class of Rational Difference Equation
... In the next, we will and to many of the basic concepts. Before anything, the concept of equilibrium point is essential in the study of the dynamics of any physical system. A point ψ in the domain of the function Φ ... See full document
9
Global dynamics of cubic second order difference equation in the first quadrant
... the dynamics of () is the problem of determining the basins of attraction of three different types of attractors: the equilibrium solutions, period- two solution(s), and the point(s) at ... See full document
38
On the Difference Equation
... But “a question ” of mathematics and biology is whether stable and sustained oscillation possible for 1.1, when αβ > 1, increases. In the present paper, we provide a detailed analysis of these questions. Regarding β ... See full document
7
Search | Preprints
... of difference equations are well established in the study of Lie ...of rational difference equations was ana- lyzed in [8, ...the equation y t+1 = f(y t )g(y t−s ... See full document
11
Regarding the dynamics of a third order nonlinear difference equation
... In this work we study various properties of (.). In Section we study attractivity, stabil- ity and attractive region of (.) and its related equations. Further more we study bifurca- tions of (.). In Section we ... See full document
15
Global behavior of a higher order rational difference equation
... GLOBAL BEHAVIOR OF A HIGHER ORDER RATIONAL DIFFERENCE EQUATION HONGJIAN XI AND TAIXIANG SUN Received 17 January 2006; Revised 6 April 2006; Accepted 12 April 2006 We investigate in this paper the glob[.] ... See full document
7
Dynamics of a system of rational third order difference equation
... Rational difference equations that are the ratio of two polynomials are one of the most important and practical classes of nonlinear difference equations. Marwan Aloqeili [] investigated the stability character, ... See full document
6
Qualitative behavior of a rational difference equation
... Difference equations are applied in the field of biology, engineer, physics, and so on [1]. The study of properties of rational difference equations has been an area of intense interest in the recent ... See full document
6
On a Conjecture for a Higher Order Rational Difference Equation
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 394635, 9 pages doi 10 1155/2009/394635 Research Article On a Conjecture for a Higher Order Rational Difference[.] ... See full document
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