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Pseudo almost periodic high-order cellular neural networks with complex deviating arguments

  • Aiping ZhangEmail author
Original Article

Abstract

In this paper, we propose and study the pseudo almost periodic high-order cellular neural networks with oscillating leakage coefficients and complex deviating arguments, which has not been studied in the existing literature. Applying the contraction mapping fixed point theorem and inequality analysis techniques, we establish a set of criteria for the existence and uniqueness of pseudo almost periodic solutions for this model, which can be easily tested in practice by simple algebra computations. The obtained results play an important role in designing high-order cellular neural networks with state-dependent delays. Moreover, some illustrative examples are given to demonstrate our theoretical results.

Keywords

High-order cellular neural networks Pseudo almost periodic solution Existence Oscillating leakage coefficient Complex deviating argument 

Mathematics Subject Classification

34C25 34K13 34K25 

Notes

Acknowledgements

The author would like to express the sincere appreciation to the editor and reviewers for their helpful comments in improving the presentation and quality of the paper.

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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of ScienceHunan University of TechnologyZhuzhouPeople’s Republic of China

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