Published May 22, 2006 | Version v1
Journal article

Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses

  • 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.