scholarly journals Boussinesq Solitons as Propagators of Neural Signals

2018 ◽  
Vol 3 (1) ◽  
pp. 120 ◽  
Author(s):  
Edgar Villagran Vargas ◽  
Juan Ramón Collantes C. ◽  
Máximo A. Agüero Granados
Keyword(s):  
Nonlinear Equation ◽  
Linear Equation ◽  
Boussinesq Equation ◽  
Equation Of Motion ◽  
Simplified Model ◽  
Melting Transition ◽  
Single Neurons ◽  
Neural Signals ◽  
Non Linear Equation ◽  
Lipid Melting

We  consider  certain  approximation for determining the  equation  of motion  for nerve  signals by  using  the  model  of the  lipid  melting  of membranes.   The  nerve  pulses  are  found  to  display nonlinearity and  dispersion  during  the  melting  transition.  In this  simplified model the  nonlinear equation  early  proposed  by  Heimburg  and  coworkers  transformed to  the  well known  integrable Boussinesq  non linear  equation.   Under  specific values of the  parametric space this  system  shows the  existence  of singular  and  regular  soliton  like structures.   After  their  collisions  the  mutual creation  and annihilation (each other)  of nerve signals along the  nerve,  during  their  propagation, has been observed.Keywords: Boussinesq equation,  singular  solitons,  single neurons,  neural  code.

scholarly journals Non-linear equation for estimation of the global solar radiation for any latitude in Egypt

MAUSAM ◽  
2021 ◽  
Vol 51 (1) ◽  
pp. 75-80
Author(s):  
M. T. Y. TADROS
Keyword(s):  
Solar Radiation ◽  
Nonlinear Equation ◽  
Linear Equation ◽  
Global Solar Radiation ◽  
Published Data ◽  
Non Linear Equation ◽  
The World ◽  
Non Linear ◽  
Solar Instruments

The aim of this study is to obtain a nonlinear equation for computation of the monthly solar radiation for any latitude of any place in Egypt, when the recording solar instruments are not available. This equation allows to estimate the monthly values of the Global Solar Radiation for any latitude in Egypt with deviation from the published data (in the world net work), for any month, of about 17%.

Nonlinear Vibrations of a Hinged Beam Including Nonlinear Inertia Effects

1973 ◽  
Vol 40 (1) ◽  
pp. 121-126 ◽  
Author(s):  
S. Atluri
Keyword(s):  
Nonlinear Equation ◽  
Nonlinear Vibrations ◽  
Initial Conditions ◽  
Equation Of Motion ◽  
Multiple Time Scales ◽  
Multiple Time ◽  
Nonlinear Ordinary Differential Equations ◽  
Inertia Effects ◽  
Modal Expansion ◽  
General Response

This investigation treats the large amplitude transverse vibration of a hinged beam with no axial restraints and which has arbitrary initial conditions of motion. Nonlinear elasticity terms arising from moderately large curvatures, and nonlinear inertia terms arising from longitudinal and rotary inertia of the beam are included in the nonlinear equation of motion. Using a Galerkin variational method and a modal expansion, the problem is reduced to a system of coupled nonlinear ordinary differential equations which are solved for arbitrary initial conditions, using the perturbation procedure of multiple-time scales. The general response and frequency-amplitude relations are derived theoretically. Comparison with previously published results is made.

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