Effective filtering on a random slow manifold

Jinqiao Duan , Jinqiao Duan , Huijie Qiao , Yanjie Zhang
Nonlinearity 31 ( 10) 4649 -4666

9
2018
Approximation of invariant foliations for stochastic dynamical systems

Xu Sun , Jinqiao Duan , Xingye Kan
Stochastics and Dynamics 12 ( 1) 1150011

7
2012
A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits

Jinqiao Duan , Jinqiao Duan , Xiaoli Chen , Hui Wang
International Journal of Bifurcation and Chaos 28 ( 01) 1850017

17
2018
Detecting the maximum likelihood transition path from data of stochastic dynamical systems

Jinqiao Duan , Ting Gao , Min Dai , Yubin Lu
Chaos 30 ( 11) 113124

17
2020
Dynamical inference for transitions in stochastic systems with α-stable Lévy noise*

Jinqiao Duan , Zhuan Cheng , Xingye Kan , Ting Gao
Journal of Physics A 49 ( 29) 294002

9
2016
The tipping times in an Arctic sea ice system under influence of extreme events

Stephen Wiggins , Fang Yang , Jinqiao Duan , Yayun Zheng
Chaos 30 ( 6) 063125

17
2020
Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes

Xu Sun , Jinqiao Duan
Journal of Mathematical Physics 53 ( 7) 072701 -072701

20
2012
Quantifying model uncertainty for the observed non-Gaussian data by the Hellinger distance

Fang Yang , Jinqiao Duan , Jürgen Kurths , Jürgen Kurths
Communications in Nonlinear Science and Numerical Simulation 96 105720

2021
Instability of small-amplitude periodic waves from fold-Hopf bifurcation

Jinqiao Duan , Shuang Chen
arXiv: Dynamical Systems

2
2020
Maximum likelihood estimation of stochastic differential equations with random effects driven by fractional Brownian motion

Jinqiao Duan , Xiangjun Wang , Min Dai , Junjun Liao
Applied Mathematics and Computation 397 125927

7
2021
Maximal likely phase lines for a reduced ice growth model

Jinqiao Duan , Athanasios Tsiairis , Pingyuan Wei , Ying Chao
Physica A-statistical Mechanics and Its Applications 569 125749

2021
Gibbs Measure for the Higher Order Modified Camassa-Holm Equation

Jinqiao Duan , Wei Yan , Lin Lin
Chinese Annals of Mathematics, Series B 42 ( 1) 105 -120

2021
A logistic-harvest model with allee effect under multiplicative noise

James Brannan , Jinqiao Duan , Daniel Tesfay , Almaz Tesfay
Stochastics and Dynamics 2150044

6
2021
Stochastic bifurcation for two-time-scale dynamical system with α-stable Lévy noise

Zhigang Zeng , Jinqiao Duan , Shenglan Yuan
Journal of Statistical Mechanics: Theory and Experiment 2021 ( 3) 033204

1
2021
Wave-breaking and moderate deviations of the stochastic Camassa–Holm equation with pure jump noise

Jinqiao Duan , Hongjun Gao , Yong Chen
Physica D: Nonlinear Phenomena 424 132944

4
2021
Global well-posedness of the stochastic Camassa–Holm equation

Jinqiao Duan , Hongjun Gao , Yong Chen
Communications in Mathematical Sciences 19 ( 3) 607 -627

5
2021
2021
A DYNAMICAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

Wei Wang , Jinqiao Duan
Journal of Mathematical Physics 48 ( 10) 102701 -102701

36
2007