Dynamics Analysis of a New Fractional-Order Hopfield Neural Network with Delay and Its Generalized Projective Synchronization

Autor:	Han-Ping Hu, Jia-Kun Wang, Fei-Long Xie
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	dynamics analysis fractional-order Hopfield neural network generalized projective synchronization Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 21, Iss 1, p 1 (2018)
Druh dokumentu:	article
ISSN:	1099-4300
DOI:	10.3390/e21010001
Popis:	In this paper, a new three-dimensional fractional-order Hopfield-type neural network with delay is proposed. The system has a unique equilibrium point at the origin, which is a saddle point with index two, hence unstable. Intermittent chaos is found in this system. The complex dynamics are analyzed both theoretically and numerically, including intermittent chaos, periodicity, and stability. Those phenomena are confirmed by phase portraits, bifurcation diagrams, and the Largest Lyapunov exponent. Furthermore, a synchronization method based on the state observer is proposed to synchronize a class of time-delayed fractional-order Hopfield-type neural networks.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cb061638c6f4484fac05745e6a090fff Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.