On linear generalized neutral differential delay systems

2009 ◽  
Vol 346 (7) ◽  
pp. 691-704 ◽  
Author(s):  
Athanasios A. Pantelous ◽  
Grigoris I. Kalogeropoulos
Keyword(s):  
Delay Systems ◽  
Differential Delay

scholarly journals On the Number of Periodic Orbits to Odd Order Differential Delay Systems

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1731
Author(s):  
Weigao Ge ◽  
Lin Li
Keyword(s):  
Variational Method ◽  
Periodic Orbits ◽  
Index Theory ◽  
Accurate Method ◽  
Delay System ◽  
Delay Systems ◽  
Differential Delay ◽  
Odd Order

In this paper, we study the periodic orbits of a type of odd order differential delay system with 2k−1 lags via the S1 index theory and the variational method. This type of system has not been studied by others. Our results provide a new and more accurate method for counting the number of periodic orbits.

Statistics and dimension of chaos in differential delay systems

1987 ◽  
Vol 35 (1) ◽  
pp. 328-339 ◽  
Author(s):  
B. Dorizzi ◽  
B. Grammaticos ◽  
M. Le Berre ◽  
Y. Pomeau ◽  
E. Ressayre ◽  
...  
Keyword(s):  
Delay Systems ◽  
Differential Delay

Exponential stability of stochastic differential delay systems with delayed impulse effects

2011 ◽  
Vol 52 (9) ◽  
pp. 092702 ◽  
Author(s):  
Xiaotai Wu ◽  
Litan Yan ◽  
Wenbing Zhang ◽  
Yang Tang
Keyword(s):  
Exponential Stability ◽  
Delay Systems ◽  
Differential Delay ◽  
Delayed Impulse

Stability of nonlinear differential delay systems

1998 ◽  
Vol 45 (3-4) ◽  
pp. 257-267 ◽  
Author(s):  
Erik I. Verriest ◽  
Woihida Aggoune
Keyword(s):  
Delay Systems ◽  
Differential Delay
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