quaternion field
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Adaptive quaternion projective synchronization of fractional order delayed neural networks in quaternion field

2021 ◽  
Vol 400 ◽  
pp. 126045
Author(s):  
Weiwei Zhang ◽  
Chunlin Sha ◽  
Jinde Cao ◽  
Guanglan Wang ◽  
Yuan Wang
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Projective Synchronization ◽  
Delayed Neural Networks ◽  
Quaternion Field

Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field

2020 ◽  
Vol 43 (10) ◽  
pp. 6223-6253 ◽  
Author(s):  
Anbalagan Pratap ◽  
Ramachandran Raja ◽  
Jehad Alzabut ◽  
Jinde Cao ◽  
Grienggrai Rajchakit ◽  
...  
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Impulsive Synchronization ◽  
Quaternion Field

scholarly journals Computation of Euclidean minima in totally definite quaternion fields

2019 ◽  
Vol 15 (01) ◽  
pp. 43-66
Author(s):  
Jean-Paul Cerri ◽  
Pierre Lezowski
Keyword(s):  
Number Field ◽  
Number Fields ◽  
Quaternion Field ◽  
Norm Form

We describe an algorithm that allows to compute the Euclidean minimum (for the norm form) of any order of a totally definite quaternion field over a number field [Formula: see text] of degree strictly greater than [Formula: see text]. Our approach is a generalization of the previous work dealing with number fields. The algorithm was practically implemented when [Formula: see text] has degree [Formula: see text].

Fixed-Time Synchronization of Second-Order MNNs in Quaternion Field

2019 ◽  
pp. 1-12 ◽  
Author(s):  
Ruoyu Wei ◽  
Jinde Cao ◽  
Mahmoud Abdel-Aty
Keyword(s):  
Time Synchronization ◽  
Fixed Time ◽  
Second Order ◽  
Quaternion Field

Decomposition approach to the stability of recurrent neural networks with asynchronous time delays in quaternion field

2017 ◽  
Vol 94 ◽  
pp. 55-66 ◽  
Author(s):  
Dandan Zhang ◽  
Kit Ian Kou ◽  
Yang Liu ◽  
Jinde Cao
Keyword(s):  
Neural Networks ◽  
Recurrent Neural Networks ◽  
Time Delays ◽  
Decomposition Approach ◽  
Quaternion Field ◽  
The Stability

scholarly journals A New Geometrical Representation over Quaternion Field

2017 ◽  
Vol 07 (04) ◽  
pp. 236-240
Author(s):  
文烨 王
Keyword(s):  
Geometrical Representation ◽  
Quaternion Field

scholarly journals Quintessence and phantom emerging from the split-complex field and the split-quaternion field

2015 ◽  
Vol 48 (1) ◽  
Author(s):  
Changjun Gao ◽  
Xuelei Chen ◽  
You-Gen Shen
Keyword(s):  
Complex Field ◽  
Split Quaternion ◽  
Quaternion Field

scholarly journals Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ji Eun Kim ◽  
Su Jin Lim ◽  
Kwang Ho Shon
Keyword(s):  
Exponential Function ◽  
Clifford Analysis ◽  
Regular Function ◽  
Regular Functions ◽  
Quaternion Field ◽  
Hypercomplex Structure ◽  
Cauchy Riemann

We define a new hypercomplex structure ofℝ3and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures ofℝ3.

scholarly journals FUNCTIONS AND DIFFERENTIAL OPERATORS IN THE DUAL REDUCED QUATERNION FIELD

2013 ◽  
Vol 29 (3) ◽  
pp. 293-302 ◽  
Author(s):  
Hyun Sook Jung ◽  
Kwang Ho Shon
Keyword(s):  
Differential Operators ◽  
Quaternion Field
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