Published May 22, 2006
| Version v1
Journal article
Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses
Creators
- 1. Department of Computer Science, Hainan Normal University, Haikou, HaiNan 571158 (China) and Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081 (China)
- 2. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081 (China)
Description
By using the continuation theorem of Mawhin's coincidence degree theory and some analysis techniques, some new sufficient conditions are obtained ensuring existence, uniqueness and global exponential stability of periodic solution of nonautonomous cellular neural networks with impulses. The results extend earlier ones where impulses are absent. Further, using numerical simulation method the influences of the impulsive perturbations on the inherent oscillation are investigated
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2006.01.018;
- PII
- S0375-9601(06)00053-3;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 354
- Journal Issue
- 1-2
- Journal Page Range
- p. 84-94
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37068825
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMPUTERIZED SIMULATION; LYAPUNOV METHOD; MATHEMATICAL SOLUTIONS; NEURAL NETWORKS; OSCILLATIONS; PERIODICITY; PERTURBATION THEORY; PULSES; STABILITY
- Descriptors DEC
- CALCULATION METHODS; SIMULATION; VARIATIONS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.