On camel-like traveling wave solutions in cellular neural networks |
| |
Authors: | Cheng-Hsiung Hsu Suh-Yuh Yang |
| |
Institution: | Department of Mathematics, National Central University, Chung-Li 32054, Taiwan |
| |
Abstract: | This paper is concerned with the existence of camel-like traveling wave solutions of cellular neural networks distributed in the one-dimensional integer lattice . The dynamics of each given cell depends on itself and its nearest m left neighbor cells with instantaneous feedback. The profile equation of the infinite system of ordinary differential equations can be written as a functional differential equation in delayed type. Under appropriate assumptions, we can directly figure out the solution formula with many parameters. When the wave speed is negative and close to zero, we prove the existence of camel-like traveling waves for certain parameters. In addition, we also provide some numerical results for more general output functions and find out oscillating traveling waves numerically. |
| |
Keywords: | 34A12 34B15 34B45 34K10 |
本文献已被 ScienceDirect 等数据库收录! |
|