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Abstract cascading multigrid preconditioners in Besov spaces
Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations
1.  Department of Mathematics, University of Chester, Parkgate Road, Chester CH1 4BJ, United Kingdom, United Kingdom 
[1] 
Dimitri Breda, Sara Della Schiava. Pseudospectral reduction to compute Lyapunov exponents of delay differential equations. Discrete & Continuous Dynamical Systems  B, 2018, 23 (7) : 27272741. doi: 10.3934/dcdsb.2018092 
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Nguyen Dinh Cong, Nguyen Thi Thuy Quynh. Coincidence of Lyapunov exponents and central exponents of linear Ito stochastic differential equations with nondegenerate stochastic term. Conference Publications, 2011, 2011 (Special) : 332342. doi: 10.3934/proc.2011.2011.332 
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Yuri Bakhtin. Lyapunov exponents for stochastic differential equations with infinite memory and application to stochastic NavierStokes equations. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 697709. doi: 10.3934/dcdsb.2006.6.697 
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Nguyen Dinh Cong, Thai Son Doan, Stefan Siegmund. On Lyapunov exponents of difference equations with random delay. Discrete & Continuous Dynamical Systems  B, 2015, 20 (3) : 861874. doi: 10.3934/dcdsb.2015.20.861 
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Janusz Mierczyński, Sylvia Novo, Rafael Obaya. Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations. Communications on Pure & Applied Analysis, 2020, 19 (4) : 22352255. doi: 10.3934/cpaa.2020098 
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Igor Chueshov, Michael Scheutzow. Invariance and monotonicity for stochastic delay differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 15331554. doi: 10.3934/dcdsb.2013.18.1533 
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Xiuli Sun, Rong Yuan, Yunfei Lv. Global Hopf bifurcations of neutral functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 667700. doi: 10.3934/dcdsb.2018038 
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Zhenyu Lu, Junhao Hu, Xuerong Mao. Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 40994116. doi: 10.3934/dcdsb.2019052 
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Bahareh Akhtari, Esmail Babolian, Andreas Neuenkirch. An Euler scheme for stochastic delay differential equations on unbounded domains: Pathwise convergence. Discrete & Continuous Dynamical Systems  B, 2015, 20 (1) : 2338. doi: 10.3934/dcdsb.2015.20.23 
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Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete & Continuous Dynamical Systems, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
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Tian Zhang, Huabin Chen, Chenggui Yuan, Tomás Caraballo. On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations. Discrete & Continuous Dynamical Systems  B, 2019, 24 (10) : 53555375. doi: 10.3934/dcdsb.2019062 
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Weiyin Fei, Liangjian Hu, Xuerong Mao, Dengfeng Xia. Advances in the truncated Euler–Maruyama method for stochastic differential delay equations. Communications on Pure & Applied Analysis, 2020, 19 (4) : 20812100. doi: 10.3934/cpaa.2020092 
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Zhen Wang, Xiong Li, Jinzhi Lei. Second moment boundedness of linear stochastic delay differential equations. Discrete & Continuous Dynamical Systems  B, 2014, 19 (9) : 29632991. doi: 10.3934/dcdsb.2014.19.2963 
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David Lipshutz. Exit time asymptotics for small noise stochastic delay differential equations. Discrete & Continuous Dynamical Systems, 2018, 38 (6) : 30993138. doi: 10.3934/dcds.2018135 
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Jiaohui Xu, Tomás Caraballo. Long time behavior of fractional impulsive stochastic differential equations with infinite delay. Discrete & Continuous Dynamical Systems  B, 2019, 24 (6) : 27192743. doi: 10.3934/dcdsb.2018272 
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Wei Mao, Yanan Jiang, Liangjian Hu, Xuerong Mao. Stabilization by intermittent control for hybrid stochastic differential delay equations. Discrete & Continuous Dynamical Systems  B, 2022, 27 (1) : 569581. doi: 10.3934/dcdsb.2021055 
[17] 
F. M. G. Magpantay, A. R. Humphries. Generalised LyapunovRazumikhin techniques for scalar statedependent delay differential equations. Discrete & Continuous Dynamical Systems  S, 2020, 13 (1) : 85104. doi: 10.3934/dcdss.2020005 
[18] 
Sigurdur Hafstein, Skuli Gudmundsson, Peter Giesl, Enrico Scalas. Lyapunov function computation for autonomous linear stochastic differential equations using sumofsquares programming. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 939956. doi: 10.3934/dcdsb.2018049 
[19] 
Wenmeng Geng, Kai Tao. Lyapunov exponents of discrete quasiperiodic gevrey Schrödinger equations. Discrete & Continuous Dynamical Systems  B, 2021, 26 (6) : 29772996. doi: 10.3934/dcdsb.2020216 
[20] 
Fuke Wu, Peter E. Kloeden. Meansquare random attractors of stochastic delay differential equations with random delay. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 17151734. doi: 10.3934/dcdsb.2013.18.1715 
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