scholarly journals Averaging principle for a stochastic cable equation

2020 ◽  
pp. 449-467
Author(s):  
Iryna Bodnarchuk
Keyword(s):  
Averaging Principle ◽  
Cable Equation

Pseudospectral analysis and approximation of two‐dimensional fractional cable equation

2021 ◽  
Author(s):  
Avinash K. Mittal ◽  
Lokendra K. Balyan ◽  
Manoj K. Panda ◽  
Parnika Shrivastava ◽  
Harvindra Singh
Keyword(s):  
Cable Equation ◽  
Two Dimensional ◽  
Fractional Cable Equation

scholarly journals New Approach to the Planetary Theory

1979 ◽  
Vol 81 ◽  
pp. 69-72 ◽  
Author(s):  
Manabu Yuasa ◽  
Gen'ichiro Hori
Keyword(s):  
Perturbation Method ◽  
Canonical Form ◽  
Equations Of Motion ◽  
Disturbing Function ◽  
Averaging Principle ◽  
The Sun ◽  
Planetary Theory ◽  
New Approach ◽  
Canonical Perturbation ◽  
Relative Coordinates

A new approach to the planetary theory is examined under the following procedure: 1) we use a canonical perturbation method based on the averaging principle; 2) we adopt Charlier's canonical relative coordinates fixed to the Sun, and the equations of motion of planets can be written in the canonical form; 3) we adopt some devices concerning the development of the disturbing function. Our development can be applied formally in the case of nearly intersecting orbits as the Neptune-Pluto system. Procedure 1) has been adopted by Message (1976).

scholarly journals Averaging Principle and Shape Theorem for a Growth Model with Memory

2020 ◽  
Author(s):  
Amir Dembo ◽  
Pablo Groisman ◽  
Ruojun Huang ◽  
Vladas Sidoravicius
Keyword(s):  
Growth Model ◽  
Averaging Principle ◽  
Shape Theorem ◽  
With Memory

scholarly journals Polling Systems with Zero Switchover Times: A Heavy-Traffic Averaging Principle

1995 ◽  
Vol 5 (3) ◽  
pp. 681-719 ◽  
Author(s):  
E. G. Coffman ◽  
A. A. Puhalskii ◽  
M. I. Reiman
Keyword(s):  
Heavy Traffic ◽  
Polling Systems ◽  
Averaging Principle ◽  
Switchover Times

Solution of the nerve cable equation using Chebyshev approximations

1999 ◽  
Vol 87 (2) ◽  
pp. 119-136 ◽  
Author(s):  
T.I. Tóth ◽  
V. Crunelli
Keyword(s):  
Cable Equation

scholarly journals Neural Flows in Hopfield Network Approach

2013 ◽  
Vol 57 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Carmen Ionescu ◽  
Emilian Panaitescu ◽  
Mihai Stoicescu
Keyword(s):  
Neural Networks ◽  
Hopfield Network ◽  
Large Network ◽  
Cable Equation ◽  
Network Approach ◽  
Biological Complexity ◽  
Reduction Procedure ◽  
Real Neuron ◽  
Complex Models ◽  
Simple Reduction

Abstract In most of the applications involving neural networks, the main problem consists in finding an optimal procedure to reduce the real neuron to simpler models which still express the biological complexity but allow highlighting the main characteristics of the system. We effectively investigate a simple reduction procedure which leads from complex models of Hodgkin-Huxley type to very convenient binary models of Hopfield type. The reduction will allow to describe the neuron interconnections in a quite large network and to obtain information concerning its symmetry and stability. Both cases, on homogeneous voltage across the membrane and inhomogeneous voltage along the axon will be tackled out. Few numerical simulations of the neural flow based on the cable-equation will be also presented.

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