Dynamical System Prediction: A Lie Algebraic Approach for a Novel Neural Architecture

1997 ◽  
pp. 285-289 ◽  
Author(s):  
Yves Moreau ◽  
Joos Vandewalle
Keyword(s):  
Dynamical System ◽  
Algebraic Approach ◽  
Neural Architecture

Controllability criteria of fractional differential dynamical systems with non-instantaneous impulses

2019 ◽  
Vol 37 (3) ◽  
pp. 777-793
Author(s):  
B Sundara Vadivoo ◽  
R Raja ◽  
Jinde Cao ◽  
G Rajchakit ◽  
Aly R Seadawy
Keyword(s):  
Dynamical System ◽  
Algebraic Approach ◽  
Main Section ◽  
Volterra Type ◽  
Differential Systems ◽  
Gramian Matrix ◽  
Fractional Differential Systems ◽  
Fractional Differential ◽  
Fractional Dynamical System ◽  
Sufficiency Conditions

Abstract This manuscript prospects the controllability criteria of non-instantaneous impulsive Volterra type fractional differential systems. By enroling an appropriate Gramian matrix that is often defined by the Mittag-Leffler function and with the assistance of Laplace transform, the necessary and sufficiency conditions for the controllability of non-instantaneous impulsive Volterra-type fractional differential equations are derived by using algebraic approach and Cayley–Hamilton theorem. An important feature present in our paper is that we have taken non-instantaneous impulses into the fractional order dynamical system and studied the controllability analysis, since this do not exist in the available source of literature. Inclusively, we have provided two illustrative examples with the existence of non-instantaneous impulse into the fractional dynamical system. So this demonstrates the validity and efficacy of our obtained criteria of the main section.

scholarly journals A dynamical system for the algebraic approach to the genetic code

2003 ◽  
Vol 33 (4) ◽  
pp. 825-830 ◽  
Author(s):  
M. Magini ◽  
J.E.M. Hornos
Keyword(s):  
Dynamical System ◽  
Genetic Code ◽  
Algebraic Approach

Chaos and Creativity: The Psique as a Complex Dynamical System Creativiy and Arquetipal Psychology

2012 ◽  
Author(s):  
Magaly Villaobos ◽  
Yolanda Ng Lee ◽  
Maria Elena Gutierrez
Keyword(s):  
Dynamical System ◽  
Complex Dynamical System

A Neural Architecture for Visual Search

1992 ◽  
Author(s):  
William Ross ◽  
Ennio Mingolla
Keyword(s):  
Visual Search ◽  
Neural Architecture

Spontaneous pattern classification by a dynamical system

1987 ◽  
Vol 48 (12) ◽  
pp. 2027-2035 ◽  
Author(s):  
W. Banzhaf
Keyword(s):  
Dynamical System ◽  
Pattern Classification
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