Periodic and almost periodic oscillations in a delay differential equation system with time-varying coefficients

Xiao Wang;  ; Zhaohui Yang; Xiongwei Liu;

doi:10.3934/dcds.2017263

Periodic and almost periodic oscillations in a delay differential equation system with time-varying coefficients

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017263 ◽

2017 ◽

Vol 37 (12) ◽

pp. 6123-6138

Author(s):

Xiao Wang ◽

◽

Zhaohui Yang ◽

Xiongwei Liu ◽

Keyword(s):

Differential Equation ◽

Delay Differential Equation ◽

Equation System ◽

Time Varying ◽

Almost Periodic ◽

Differential Equation System ◽

Periodic Oscillations ◽

Varying Coefficients ◽

Time Varying Coefficients ◽

Delay Differential

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Routes to chaos in a delay-differential equation system modelling a passive optical resonator

Physics Letters A ◽

10.1016/0375-9601(89)90347-2 ◽

1989 ◽

Vol 139 (3-4) ◽

pp. 133-140 ◽

Cited By ~ 7

Author(s):

F. Kaiser ◽

D. Merkle

Keyword(s):

Differential Equation ◽

Delay Differential Equation ◽

Equation System ◽

Optical Resonator ◽

System Modelling ◽

Differential Equation System ◽

Routes To Chaos ◽

Delay Differential

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Dynamical behavior of a delay differential equation system on toxin producing phytoplankton and zooplankton interaction

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-014-0152-6 ◽

2014 ◽

Vol 31 (3) ◽

pp. 583-609 ◽

Cited By ~ 7

Author(s):

Zhichao Jiang ◽

Wanbiao Ma ◽

Dan Li

Keyword(s):

Differential Equation ◽

Delay Differential Equation ◽

Dynamical Behavior ◽

Equation System ◽

Differential Equation System ◽

Delay Differential

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Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver

Mathematical Biosciences ◽

10.1016/j.mbs.2019.108292 ◽

2020 ◽

Vol 319 ◽

pp. 108292

Author(s):

E. Benjamin Randall ◽

Nicholas Z. Randolph ◽

Mette S. Olufsen

Keyword(s):

Differential Equation ◽

Delay Differential Equation ◽

Valsalva Maneuver ◽

Equation System ◽

Differential Equation System ◽

Delay Differential ◽

Persistent Instability

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LMI optimization approach to asymptotic stability of certain neutral delay differential equation with time-varying coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.09.024 ◽

2005 ◽

Vol 160 (2) ◽

pp. 355-361 ◽

Cited By ~ 7

Author(s):

Ju H. Park

Keyword(s):

Differential Equation ◽

Asymptotic Stability ◽

Optimization Approach ◽

Time Varying ◽

Neutral Delay ◽

Lmi Optimization ◽

Varying Coefficients ◽

Neutral Delay Differential Equation ◽

Time Varying Coefficients ◽

Delay Differential

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Existence and Uniqueness of Pseudo Almost-Periodic Solutions of Recurrent Neural Networks With Time-Varying Coefficients and Mixed Delays

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2011.2178444 ◽

2012 ◽

Vol 23 (1) ◽

pp. 109-118 ◽

Cited By ~ 59

Author(s):

B. Ammar ◽

F. Cherif ◽

A. M. Alimi

Keyword(s):

Recurrent Neural Networks ◽

Existence And Uniqueness ◽

Mixed Delays ◽

Time Varying ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Varying Coefficients ◽

Pseudo Almost Periodic Solutions ◽

Time Varying Coefficients ◽

Pseudo Almost Periodic

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Sieve estimation of constant and time-varying coefficients in nonlinear ordinary differential equation models by considering both numerical error and measurement error

The Annals of Statistics ◽

10.1214/09-aos784 ◽

2010 ◽

Vol 38 (4) ◽

pp. 2351-2387 ◽

Cited By ~ 58

Author(s):

Hongqi Xue ◽

Hongyu Miao ◽

Hulin Wu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Measurement Error ◽

Nonlinear Ordinary Differential Equation ◽

Numerical Error ◽

Time Varying ◽

Varying Coefficients ◽

Sieve Estimation ◽

Differential Equation Models ◽

Time Varying Coefficients

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Existence and global attractivity of almost periodic solution for DCNNs with time-varying coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.11.019 ◽

2008 ◽

Vol 55 (8) ◽

pp. 1887-1894 ◽

Cited By ~ 2

Author(s):

Lijuan Zhang ◽

Ligeng Si

Keyword(s):

Periodic Solution ◽

Global Attractivity ◽

Almost Periodic Solution ◽

Time Varying ◽

Almost Periodic ◽

Varying Coefficients ◽

Time Varying Coefficients

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Almost Periodic Solutions of Lasota–Wazewska-type Delay Differential Equation

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6466 ◽

1999 ◽

Vol 237 (1) ◽

pp. 106-127 ◽

Cited By ~ 46

Author(s):

K Gopalsamy ◽

Sergei I Trofimchuk

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Delay Differential

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NONLINEAR OSCILLATIONS IN BUSINESS CYCLE MODEL WITH TIME LAGS

International Journal of Theoretical and Applied Finance ◽

10.1142/s0219024900000735 ◽

2000 ◽

Vol 03 (03) ◽

pp. 603-604 ◽

Cited By ~ 1

Author(s):

ADAM KRAWIEC ◽

MAREK SZYDŁOWSKI ◽

JANUSZ TOBOŁA

Keyword(s):

Differential Equation ◽

Business Cycle ◽

Nonlinear Oscillations ◽

Equation System ◽

Hopf Bifurcations ◽

Time Lags ◽

Differential Equation System ◽

Cycle Model ◽

Business Cycle Model ◽

Delay Differential

We analyse the Hopf bifurcations in the Kaldor–Kalecki business cycle model represented by a delay differential equation system.

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On asymptotic solutions to delay differential equation with slowly varying coefficients

Nonlinear Analysis ◽

10.1016/s0362-546x(02)00147-5 ◽

2003 ◽

Vol 52 (3) ◽

pp. 971-988 ◽

Cited By ~ 4

Author(s):

Yuriy A. Mitropolskiy ◽

Valeriy Hr. Samoylenko ◽

Giovanni Matarazzo

Keyword(s):

Differential Equation ◽

Delay Differential Equation ◽

Asymptotic Solutions ◽

Varying Coefficients ◽

Delay Differential

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