Periodic solutions of nonautonomous cellular neural networks with impulses and delays

Exponential Synchronization of the Hopfield Neural Networks with New Chaotic Strange Attractor

“…The Hopfield neural networks with impulse effect are studied, where the criteria on the existence, uniqueness and global stability of periodic solution are obtained. Further, Gui chaos strange attractor was also found [6][7][8][9][10].…”

“…As is known to all that (1) can exhibit chaotic phenomenons [6][7][8][9][10] . In order to show it clearly, we give the following example.…”

“…Taking (2) as the drive system in Example 1. The response system is constructed as follows: Then the error system of drive system (2) and respond system (9) is constructed as follows: Numeric results show that system (9) still has a Gui chaotic strange attractor [6][7][8][9][10] . The phase plot of Gui chaotic strange attractor of response system is shown in Fig.…”

Periodic Solution for Neutral Type Neural Networks

“…The existence of periodic oscillatory solutions of neural networks model has been studied by many researchers [1][2][3][4][5][6]. Some authors [3][4][5] used the well-known Hopf bifurcation theory to discuss the bifurcating periodic solutions.…”

Existence and Global Exponential Stability of Periodic Solution of Cellular Neural Networks with Delay and Impulses

“…In many cases, impulsive effect exists in a variety of evolutionary processes where states are changed abruptly at certain moments. Many results for the existence of their periodic solutions and the exponential convergence properties [11][12][13][14][15][16][17][18] have been reported in literature. However, most of the results require that the impulsive strength be small enough; see e.g., [15][16][17][18].…”