HOPF BIFURCATION OF A FRACTIONAL-ORDER OCTONION-VALUED NEURAL NETWORKS WITH TIME DELAYS

被引:18
|
作者
Kandasamy, Udhayakumar [1 ]
Rajan, Rakkiyappan [1 ]
机构
[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
来源
关键词
Fractional-order; octonions; hopf bifurcation; time delay; GLOBAL EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS; LEAKAGE DELAY; DISCRETE; EXISTENCE; RING;
D O I
10.3934/dcdss.2020137
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the hopf bifurcation of a fractional-order octonion-valued neural networks with time delays is investigated. With this constructed model all the parameters would belong to the normed division algebra of octonians. Because of the non-commutativity of the octonians, the fractional-order octonian-valued neural networks can be decomposed into four-dimensional real-valued neural networks. Furthermore, the conditions for the occurrence of Hopf bifurcation for the considered model are firstly given by taking time delay as a bifurcation parameter. Also we investigate their bifurcation when the system loses its stability. Finally, we give one numerical simulation to verify the effectiveness of the our proposed method.
引用
收藏
页码:2537 / 2559
页数:23
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