Bifurcation Study on Fractional-Order Cohen–Grossberg Neural Networks Involving Delays
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-15
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This work is chiefly concerned with the stability behavior and the appearance of Hopf bifurcation of fractional-order delayed Cohen–Grossberg neural networks.
Firstly, we study the stability and the appearance of Hopf bifurcation of the involved neural networks with identical delay ϑ1=ϑ2=ϑ.
Secondly, the sufficient criterion to guarantee the stability and the emergence of Hopf bifurcation for given neural networks with the delay ϑ2=0 is set up.
Thirdly, we derive the sufficient condition ensuring the stability and the appearance of Hopf bifurcation for given neural networks with the delay ϑ1=0.
The investigation manifests that the delay plays a momentous role in stabilizing networks and controlling the Hopf bifurcation of the addressed fractional-order delayed neural networks.
At last, software simulation results successfully verified the rationality of the analytical results.
The theoretical findings of this work can be applied to design, control, and optimize neural networks.
American Psychological Association (APA)
Tang, Bingnan. 2020. Bifurcation Study on Fractional-Order Cohen–Grossberg Neural Networks Involving Delays. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1201650
Modern Language Association (MLA)
Tang, Bingnan. Bifurcation Study on Fractional-Order Cohen–Grossberg Neural Networks Involving Delays. Mathematical Problems in Engineering No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1201650
American Medical Association (AMA)
Tang, Bingnan. Bifurcation Study on Fractional-Order Cohen–Grossberg Neural Networks Involving Delays. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1201650
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201650