[PDF] Top 20 Dynamics for Nonlinear Difference Equation

... Our aim in this paper is to extend and generalize the work in 3. That is, we will investigate the global behavior of 1.1, including the global asymptotical stability of zero equilibrium, the existence of unbounded ... See full document

... First we study the relation of attractivity and stability of equilibrium point of this equation and some related equations. Further more we prove the existence of Neimark-Sacker and period doubling (flip) ... See full document

... and from linearized stability theorem, all roots of the characteristic equation lie inside the unit disk. So, the positive equilibrium of system (6.1) is locally as- ymptotically stable. Therefore, the negative ... See full document

... that nonlinear difference equations are capable of producing a complicated behavior regardless its ...of nonlinear difference ...to nonlinear difference equations in proving that ... See full document

... a nonlinear coupling constant appearing through derivative ...chiral nonlinear Schrödinger is a non-integrable equation by the classical method of inverse ... See full document

... PKF equation for the physical diffusion ...diffusion equation is first recalled, and we specify the methodology for developing the paramet- ric dynamics under a systematic ...Burgers equation, ... See full document

... In this paper, we have dealt with the problem of boundedness character for a class of max-type difference system. And we have obtained some sufficient conditions which ensure the boundedness character of the ... See full document

... self-oscillatory dynamics, for exam- ple systems involving the Belousov-Zhabotinsky reaction and systems used for material synthesis by solid-phase combustion, known as self-propagating high- temperature ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 767620, 14 pages doi 10 1155/2010/767620 Research Article Solvability of a Higher Order Nonlinear Neutral Delay[.] ... See full document

... Difference equations appear naturally as discrete analogues and in the numerical solutions of differential and delay differential equations having applications in biology, ecology, physics, and so forth 1. The study of ... See full document

... Oscillation theory of difference equations has attracted many researchers. In recent years there has been much research activity concerning the oscillation and nonoscillation of solutions of delay difference equations. For ... See full document

... With this probabilistic interpretation, it should be possible to implement new numerical methods for the Poisson-Boltzmann equation. To this aim, an efficient way to simulate the forward process given by Eq. (6) ... See full document

... Recently, there has been a great interest in studying nonlinear difference equations and sys- tems. One of the reasons for this is a necessity for some techniques which can be used in inves- tigating equations ... See full document

... The rest of this section presents some results as regards monotone difference equations in the plane. The second section presents the local stability analysis of the equilibrium solutions. The third section describes the ... See full document

... second-order nonlinear delay dynamic equations on time ...second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time ... See full document

... To the best of our knowledge, there are few papers that consider the boundary value of nonlinear fractional q-difference equations with parameters. Theories and applications seem to be just being initiated. In this ... See full document

... best of our knowledge, very little has been done with the stability of impulsive difference equations see 15, 20 . Motivated by this, the aim of this paper is devoted to studying the uniform stability and global ... See full document

... Since the system of the difference equation () is the extension of the third-order equa- tion in [] in the six-dimensional space. In this paper, we investigated the local behavior of solutions of the system of ... See full document

... y   0.8 and y   0  0 .95 are selected to show in Figure 1(b) the unstable behavior of the solutions of Equation (1.4). In Figure 1(c), we can show that by de- creasing of the parameter  the local stability ... See full document

... This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence ... See full document