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DYNAMICAL ANALYSIS OF A SELF-CONNECTION FRACTIONAL-ORDER NEURAL NETWORK.
- Source :
-
Fractals . Sep2021, Vol. 29 Issue 6, p1-17. 17p. - Publication Year :
- 2021
-
Abstract
- This paper researches the problem of bifurcation for a ring fractional-order neural network (FONN) with self-connection delay and communication delay. Self-connection delay is firstly regarded as a bifurcation parameter to examine the bifurcations of the developed FONN, and the critical values of bifurcations with respect to self-connection delay are derived. Second, communication delay is further taken as a bifurcation parameter to investigate the bifurcations of the designed FONN, and the stability zones and bifurcation points are determined. It reveals that FONN exhibits excellent stability performance when electing a lesser value of them, and the stability performance is devastated and Hopf bifurcation arises upon taking a larger one. Eventually, the efficiency of the developed theory is appraised on account of numerical verifications. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF bifurcations
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 29
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 152602792
- Full Text :
- https://doi.org/10.1142/S0218348X21501383