Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics

2017 ◽  
Vol 27 (2) ◽  
pp. 021101 ◽  
Author(s):  
Audric Drogoul ◽  
Romain Veltz
Keyword(s):  
Hopf Bifurcation ◽  
Transport Equation ◽  
Neural Dynamics ◽  
Nonlinear Transport ◽  
Nonlinear Transport Equation ◽  
Nonlocal Nonlinear

scholarly journals A special form of solution to half-wave equations

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Hyungjin Huh
Keyword(s):  
Transport Equation ◽  
Hilbert Transform ◽  
Special Form ◽  
Wave Equations ◽  
Nonlinear Transport ◽  
One Dimensional ◽  
Nonlinear Transport Equation ◽  
Half Wave ◽  
The One ◽  
Nonlocal Nonlinear

<p style='text-indent:20px;'>We investigate a special form of solution to the one-dimensional half-wave equations with particular forms of nonlinearities. Using the special form of solution involving Hilbert transform, the half-wave equations reduce to nonlocal nonlinear transport equation which can be solved explicitly.</p>

scholarly journals PI Controllers for 1-D Nonlinear Transport Equation

2019 ◽  
Vol 64 (11) ◽  
pp. 4570-4582 ◽  
Author(s):  
Jean-Michel Coron ◽  
Amaury Hayat
Keyword(s):  
Transport Equation ◽  
Nonlinear Transport ◽  
Nonlinear Transport Equation ◽  
Pi Controllers

scholarly journals Transport theory and systems theory

2005 ◽  
Vol 20 (1) ◽  
pp. 50-58 ◽  
Author(s):  
Danilo Rastovic
Keyword(s):  
Kinetic Equation ◽  
Transport Equation ◽  
Systems Theory ◽  
Transport Process ◽  
Transport Theory ◽  
Nonlinear Transport ◽  
Nonlinear Transport Equation ◽  
Neutron Diagnostics

The simulation of singular nonlinear transport equation is obtained via corresponding neutron or photon kinetic equation. The conditions for convergence of the non stationary transport process to ward the pure dif fusion across the equilibriums are presented. For such purpose the method of transport scattering is exploited. The goal of these results is optimization of fusion fuels via neutron diagnostics.

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