Enhanced bifurcation results for a delayed fractional neural network with heterogeneous orders

Chengdai Huang, Jingyong Tang, Yantao Niu and Jinde Cao

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: This paper addresses the stability and bifurcation of a delayed fractional neural network(FNN) with different orders. Firstly, system parameter acts as a bifurcation parameter, and bifurcation criterion are educed for such system. It discovers that the stability performance of the proposed system can be exalted by selecting modest system parameter. Secondly, the bifurcation diagrams are fully illustrated for checking the exactness of the procured bifurcation results. Thirdly, in terms of discreet calculation, it perceives that the onset of bifurcation can be advanced by single order or time delay if as they decrease. Finally, two numerical examples are exploited to validate the efficiency of the theoretical results.

Keywords: Heterogeneous orders; System parameter; Time delay; Stability; Bifurcation (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119306247
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306247

DOI: 10.1016/j.physa.2019.04.250

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().