scholarly journals Shape of transition layers in a differential-delay equation

2017 ◽  
Vol 82 (3) ◽  
pp. 681-696 ◽  
Author(s):  
Jonathan A. D. Wattis
Keyword(s):  
Delay Equation ◽  
Differential Delay Equation ◽  
Transition Layers ◽  
Differential Delay

Multiple transition layers in a singularly perturbed differential-delay equation

1993 ◽  
Vol 123 (6) ◽  
pp. 1119-1134 ◽  
Author(s):  
John Mallet-Paret ◽  
Roger D. Nussbaum
Keyword(s):  
Discrete System ◽  
Step Function ◽  
Delay Equation ◽  
Singularly Perturbed ◽  
Differential Delay Equation ◽  
Transition Layers ◽  
Differential Delay ◽  
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SynopsisThe singularly perturbed differential-delay equationis studied for a class of step-function nonlinearities f. We show that in general the discrete systemdoes not mirror the dynamics of (*), even for small ε, but that rather a different systemdoes. Here F is related to, but different from, f, and describes the evolution of transition layers. In this context, we also study the effects of smoothing out the discontinuities of f.

scholarly journals Response of an oscillatory differential delay equation to a single stimulus

2016 ◽  
Vol 74 (5) ◽  
pp. 1139-1196 ◽  
Author(s):  
Michael C. Mackey ◽  
Marta Tyran-Kamińska ◽  
Hans-Otto Walther
Keyword(s):  
Single Stimulus ◽  
Delay Equation ◽  
Differential Delay Equation ◽  
Differential Delay

Analysis of anNth-order nonlinear differential-delay equation

1989 ◽  
Vol 39 (1) ◽  
pp. 197-205 ◽  
Author(s):  
Réal Vallée ◽  
Christopher Marriott
Keyword(s):  
Delay Equation ◽  
Differential Delay Equation ◽  
Differential Delay
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