Nonlinear differential delay equations using the Poincaré section technique

Physical Review E ◽

10.1103/physreve.54.6925 ◽

1996 ◽

Vol 54 (6) ◽

pp. 6925-6928 ◽

Author(s):

Zhao Hong ◽

Zhang Feizhou ◽

Yan Jie ◽

Wang Yinghai

Keyword(s):

Delay Equations ◽

Poincaré Section ◽

Poincare Section ◽

Differential Delay ◽

Differential Delay Equations ◽

Section Technique

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Strong convergence rate of truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps

Frontiers of Mathematics in China ◽

10.1007/s11464-021-0914-9 ◽

2021 ◽

Author(s):

Shuaibin Gao ◽

Junhao Hu ◽

Li Tan ◽

Chenggui Yuan

Keyword(s):

Convergence Rate ◽

Strong Convergence ◽

Delay Equations ◽

Poisson Jumps ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations ◽

Strong Convergence Rate

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Comments on “Exponential stability of nonlinear differential delay equations” [Systems & Control Letters 28 (1996) 159–165]

Systems & Control Letters ◽

10.1016/j.sysconle.2008.03.014 ◽

2008 ◽

Vol 57 (10) ◽

pp. 834-835 ◽

Author(s):

Chuandong Li ◽

Qiu Yan

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Systems Control

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Robust stability of uncertain stochastic differential delay equations

Systems & Control Letters ◽

10.1016/s0167-6911(98)00080-2 ◽

1998 ◽

Vol 35 (5) ◽

pp. 325-336 ◽

Author(s):

Xuerong Mao ◽

Natalia Koroleva ◽

Alexandra Rodkina

Keyword(s):

Robust Stability ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations

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Robustness of exponential stability of stochastic differential delay equations

IEEE Transactions on Automatic Control ◽

10.1109/9.486647 ◽

1996 ◽

Vol 41 (3) ◽

pp. 442-447 ◽

Author(s):

X. Mao

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations

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Multiple periodic solutions for non-canonical Hamiltonian systems with application to differential delay equations

Science China Mathematics ◽

10.1007/s11425-014-4829-8 ◽

2014 ◽

Vol 57 (8) ◽

pp. 1625-1638 ◽

Author(s):

Rong Cheng ◽

JunXiang Xu ◽

FuBao Zhang

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Multiple Periodic Solutions

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Khasminskii-Type Theorems for Stochastic Differential Delay Equations

Stochastic Analysis and Applications ◽

10.1080/07362990500118637 ◽

2005 ◽

Vol 23 (5) ◽

pp. 1045-1069 ◽

Author(s):

Xuerong Mao ◽

Matina John Rassias

Keyword(s):

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations

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Taylor approximation of the solutions of stochastic differential delay equations with Poisson jump

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2010.04.032 ◽

2011 ◽

Vol 16 (2) ◽

pp. 798-804 ◽

Author(s):

Feng Jiang ◽

Yi Shen ◽

Lei Liu

Keyword(s):

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations ◽

Taylor Approximation ◽

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Numerical solutions of stochastic differential delay equations under local Lipschitz condition

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00750-1 ◽

2003 ◽

Vol 151 (1) ◽

pp. 215-227 ◽

Author(s):

Xuerong Mao ◽

Sotirios Sabanis

Keyword(s):

Lipschitz Condition ◽

Numerical Solutions ◽

Delay Equations ◽

Local Lipschitz Condition ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations

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Chaotic behavior of a class of nonlinear differential delay equations

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01762537 ◽

1984 ◽

Vol 138 (1) ◽

pp. 15-33 ◽

Author(s):

Hans -Willi Siegberg

Keyword(s):

Chaotic Behavior ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations

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On the global dynamics of nonlinear autonomous differential delay equations

Applied Mathematical Sciences - Delay Equations ◽

10.1007/978-1-4612-4206-2_17 ◽

1995 ◽

pp. 426-442

Author(s):

Odo Diekmann ◽

Sjoerd M. Verduyn Lunel ◽

Stephan A. van Gils ◽

Hanns-Otto Walther

Keyword(s):

Delay Equations ◽

Global Dynamics ◽

Differential Delay ◽

Differential Delay Equations

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