Stability and Existence of Periodic Solutions for Cellular Neural Networks with State Dependent Delays on Time Scales

Joint Authors

Ren, Yaping
Li, Yongkun

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-09-26

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

We study delayed cellular neural networks on time scales.

Without assuming the boundedness of the activation functions, we establish the exponential stability and existence of periodic solutions.

The results in this paper are completely new even in case of the time scale ?=ℝ or ℤ and improve some of the previously known results.

American Psychological Association (APA)

Ren, Yaping& Li, Yongkun. 2012. Stability and Existence of Periodic Solutions for Cellular Neural Networks with State Dependent Delays on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-468048

Modern Language Association (MLA)

Ren, Yaping& Li, Yongkun. Stability and Existence of Periodic Solutions for Cellular Neural Networks with State Dependent Delays on Time Scales. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-468048

American Medical Association (AMA)

Ren, Yaping& Li, Yongkun. Stability and Existence of Periodic Solutions for Cellular Neural Networks with State Dependent Delays on Time Scales. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-468048

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-468048