Periodic solutions for a class of delays cellular neural networks models with two neurons

Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition)

Volumn 33, Issue 9, 2005, Pages

  Li, Biwen ^a   Zheng, Luzhou ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NONE

Author keywords

Cellular networks; Delays; Existence; Periodic solutions; The continuation theory

Indexed keywords

CONTINUUM MECHANICS; DELAY CONTROL SYSTEMS; SIGNAL THEORY; THEOREM PROVING; TRANSFER FUNCTIONS;

CELLULAR NETWORKS; COINCIDENCE DEGREE THEORY; CONTINUATION THEORY; DELAYS; EXISTENCE; LIPSCHITZ CONDITIONS; QUALITATIVE ANALYSIS; SIGNAL TRANSMISSION FUNCTIONS;

CELLULAR NEURAL NETWORKS;

EID: 27744555712     PISSN: 16714512     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. Zhang Jiye, Jin Xuesong. Global stability analysis in delayed Hopfield neural network models[J]. IEEE Trans Neural Networks, 2000, 14(7): 745-753
2. Zhou Dongming, Zhang Liming, Cao Jinde. On global exponential stability of celleur neural network with Lipschitz-continuous activation and variable delays[J]. Applied Mathematics and Computation, 2004, 151(2): 379-392
3. Dong Qinxi, Matsui K, Huang Xiankai. Existence and stability of periodic solutions for Hopfield neutral network equations with periodic input[J]. Nonlinear Analysis, TMA, 2002, 49(4): 471-479
4. Guo Shangjian, Huang Lihong. Periodic solutions in an inhibitory two-neuron network[J]. Journal of Computational and Applied Mathematics, 2003, 161(1): 217-229