Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions
| dc.contributor.author | Zhang, Fuxing | |
| dc.contributor.author | Li, Ya | |
| dc.date.accessioned | 2021-08-13T16:41:10Z | |
| dc.date.available | 2021-08-13T16:41:10Z | |
| dc.date.issued | 2007-07-13 | |
| dc.description.abstract | In this paper, we consider higher-order Hopfield neural networks (HHNNs) with time-varying delays. Based on the fixed point theorem, Lyapunov functional method, differential inequality techniques, and without assuming the boundedness on the activation functions, we establish sufficient conditions for the existence and local exponential stability of the almost periodic solutions. The results of this paper are new and they complement previously known results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, F., & Li, Y. (2007). Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions. <i>Electronic Journal of Differential Equations, 2007</i>(99), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14315 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | High-order Hopfield neural networks | |
| dc.subject | Almost periodic solution | |
| dc.subject | Exponential stability | |
| dc.subject | Time-varying delays | |
| dc.title | Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions | |
| dc.type | Article |