Existence and attractivity of k-almost automorphic sequence solution of a model of cellular neural networks with delay
@article{Abbas2013ExistenceAA, title={Existence and attractivity of k-almost automorphic sequence solution of a model of cellular neural networks with delay}, author={Syed Abbas and Yonghui Xia}, journal={Acta Mathematica Scientia}, year={2013}, volume={33}, pages={290-302} }
Abstract In this paper we discuss the existence and global attractivity of k -almost automorphic sequence solution of a model of cellular neural networks. We consider the corresponding difference equation analogue of the model system using suitable discretization method and obtain certain conditions for the existence of solution. Almost automorphic function is a good generalization of almost periodic function. This is the first paper considering such solutions of the neural networks.
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References
SHOWING 1-10 OF 21 REFERENCES
The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
- Physics
- 2006
- 60
The existence and exponential attractivity of κ-almost periodic sequence solution of discrete time neural networks
- Mathematics
- 2007
- 39
Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks
- Mathematics
- 2009
- 19
- PDF
Exponential attractor of kappa-almost periodic sequence solution of discrete-time bidirectional neural networks
- Mathematics, Computer Science
- Simul. Model. Pract. Theory
- 2010
- 10
New results concerning exponential stability and periodic solutions of delayed cellular neural networks
- Physics
- 2003
- 305
Exponential stability of continuous-time and discrete-time cellular neural networks with delays
- Mathematics, Computer Science
- Appl. Math. Comput.
- 2003
- 317