Existence and Stability of Traveling Pulses in a Continuous Neuronal Network

David J. Pinto; Russell K. Jackson; C. Eugene Wayne

doi:10.1137/040613020

Existence and Stability of Traveling Pulses in a Continuous Neuronal Network

SIAM Journal on Applied Dynamical Systems ◽

10.1137/040613020 ◽

2005 ◽

Vol 4 (4) ◽

pp. 954-984 ◽

Cited By ~ 44

Author(s):

David J. Pinto ◽

Russell K. Jackson ◽

C. Eugene Wayne

Keyword(s):

Neuronal Network ◽

Traveling Pulses ◽

Existence And Stability

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Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression

SIAM Journal on Applied Dynamical Systems ◽

10.1137/130913092 ◽

2013 ◽

Vol 12 (4) ◽

pp. 2032-2067 ◽

Cited By ~ 13

Author(s):

Grégory Faye

Keyword(s):

Field Equation ◽

Synaptic Depression ◽

Neural Field ◽

Traveling Pulses ◽

Existence And Stability ◽

Neural Field Equation

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Existence and Stability of Traveling Pulses in a Reaction–Diffusion-Mechanics System

Journal of Nonlinear Science ◽

10.1007/s00332-012-9147-0 ◽

2012 ◽

Vol 23 (1) ◽

pp. 129-177 ◽

Cited By ~ 10

Author(s):

Matt Holzer ◽

Arjen Doelman ◽

Tasso J. Kaper

Keyword(s):

Reaction Diffusion ◽

Traveling Pulses ◽

Existence And Stability

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Sleep is a neuronal-network matter

Nature ◽

10.1038/d41586-017-00887-1 ◽

2017 ◽

Vol 546 (7660) ◽

pp. 579-579

Keyword(s):

Neuronal Network

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KCNQ potassium channels are critical determinants of neuronal network activity in neonatal mouse brain

Neuropediatrics ◽

10.1055/s-0029-1215870 ◽

2008 ◽

Vol 39 (05) ◽

Author(s):

A Neu ◽

Q Le ◽

I Hanganu ◽

D Isbrandt

Keyword(s):

Potassium Channels ◽

Mouse Brain ◽

Neuronal Network ◽

Neonatal Mouse ◽

Network Activity ◽

Neuronal Network Activity

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Treatment of the schizoaffective psychosis according to a neuronal network

Klinische Neurophysiologie ◽

10.1055/s-0032-1301665 ◽

2012 ◽

Vol 43 (01) ◽

Author(s):

FM Werner ◽

R Covenas

Keyword(s):

Neuronal Network ◽

Schizoaffective Psychosis

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Desynchronisation of neuronal network activity in traumatic brain injury

Klinische Neurophysiologie ◽

10.1055/s-2008-1072810 ◽

2008 ◽

Vol 39 (01) ◽

Author(s):

F Otto ◽

J Opatz ◽

R Hartmann ◽

D Willbold ◽

E Donauer ◽

...

Keyword(s):

Traumatic Brain Injury ◽

Brain Injury ◽

Neuronal Network ◽

Network Activity ◽

Neuronal Network Activity

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PRE-TREATMENT HUMAN PAPILLOMAVIRUS (HPV) GENOTYPE PREDICTS FOR CERVICAL DYSPALSIA RECURRENCE/PERSISTENCE: RESULTS FROM AN ARTIFICIAL NEURONAL NETWORK ANALYSIS ON 5,104 WOMEN

10.26226/morressier.5770e29bd462b80290b4b9a8 ◽

2016 ◽

Author(s):

Giorgio Bogani

Keyword(s):

Human Papillomavirus ◽

Network Analysis ◽

Neuronal Network ◽

Pre Treatment ◽

Artificial Neuronal Network

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An attempt of autonomous feature extraction of neuronal electrical activity patterns in a reconstructed living neuronal network

10.26226/morressier.5b31ec372afeeb0013459ffa ◽

2018 ◽

Author(s):

Hiromichi Sakuta ◽

Suguru N. Kudoh

Keyword(s):

Feature Extraction ◽

Electrical Activity ◽

Neuronal Network ◽

Activity Patterns ◽

Neuronal Electrical Activity

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Existence and stability results for Langevin equations with Hilfer fractional derivative

Results in Fixed Point Theory and Applications ◽

10.30697/rfpta-2018-3 ◽

2018 ◽

Vol 2018 (-) ◽

Cited By ~ 2

Author(s):

S. Harikrishnan ◽

K. Kanagarajan ◽

E. M. Elsayed

Keyword(s):

Fractional Derivative ◽

Langevin Equations ◽

Hilfer Fractional Derivative ◽

Existence And Stability ◽

Stability Results

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Existence and stability of fractional implicit differential equations with complex order

Results in Fixed Point Theory and Applications ◽

10.30697/rfpta-2018-27 ◽

2018 ◽

Vol 2018 (-) ◽

Author(s):

D. Vivek ◽

K. Kanagarajan ◽

E. M. Elsayed

Keyword(s):

Differential Equations ◽

Implicit Differential Equations ◽

Complex Order ◽

Existence And Stability

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