Almost periodic traveling waves of nonlocal evolution equations

2002 ◽  
Vol 50 (6) ◽  
pp. 807-838 ◽  
Author(s):  
Fengxin Chen
Keyword(s):  
Traveling Waves ◽  
Evolution Equations ◽  
Almost Periodic ◽  
Periodic Traveling Waves ◽  
Nonlocal Evolution Equations

scholarly journals Stability of periodic traveling waves for complex modified Korteweg–de Vries equation

2010 ◽  
Vol 248 (10) ◽  
pp. 2608-2627 ◽  
Author(s):  
Sevdzhan Hakkaev ◽  
Iliya D. Iliev ◽  
Kiril Kirchev
Keyword(s):  
Traveling Waves ◽  
Vries Equation ◽  
Periodic Traveling Waves ◽  
De Vries

scholarly journals Synaptic propagation in neuronal networks with finite-support space dependent coupling

2020 ◽  
Author(s):  
Ricardo Erazo Toscano ◽  
Remus Osan
Keyword(s):  
Time Constant ◽  
Sensory Processing ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Neuronal Networks ◽  
Evolution Equations ◽  
Network Connectivity ◽  
Space Constant ◽  
The Stability ◽  
The Brain

1AbstractTraveling waves of electrical activity are ubiquitous in biological neuronal networks. Traveling waves in the brain are associated with sensory processing, phase coding, and sleep. The neuron and network parameters that determine traveling waves’ evolution are synaptic space constant, synaptic conductance, membrane time constant, and synaptic decay time constant. We used an abstract neuron model to investigate the propagation characteristics of traveling wave activity. We formulated a set of evolution equations based on the network connectivity parameters. We numerically investigated the stability of the traveling wave propagation with a series of perturbations with biological relevance.

scholarly journals On the stability of periodic traveling waves for the modified Kawahara equation

2019 ◽  
pp. 1-8
Author(s):  
Gisele Detomazi Almeida ◽  
Fabrício Cristófani ◽  
Fábio Natali
Keyword(s):  
Traveling Waves ◽  
Kawahara Equation ◽  
Periodic Traveling Waves ◽  
The Stability

scholarly journals Periodic traveling waves in SIRS endemic models

2009 ◽  
Vol 49 (1-2) ◽  
pp. 393-401 ◽  
Author(s):  
Tong Li ◽  
Yi Li ◽  
Herbert W. Hethcote
Keyword(s):  
Traveling Waves ◽  
Periodic Traveling Waves
Sign in / Sign up

Export Citation Format

Share Document