Đoàn Thái Sơn
GS. TSKH. NCVCC

Phòng Xác suất và thống kê
Hướng nghiên cứu: Hệ động lực tất định và ngẫu nhiên


Liên hệ
Phòng làm việc: 202, Nhà A5
Điện thoại: +84 (02)4 37563474/ 202
Email: dtson AT math.ac.vn

Lý lịch khoa học

  • Đại học: năm 2006, Đại học Khoa học tự Nhiên, Hà Nội, Việt Nam
  • Tiến sĩ: năm 2009, Technical University Dresden, CHLB Đức
  • Tiến sĩ khoa học năm 2016
  • Phó giáo sư: 2018
  • Giáo sư: 2023

Chuyên ngành: Xác Suất và Thống Kê

Các vị trí công tác đã qua

  • 2023 - nay: Viện trưởng Viện Toán học
  • 2020 - 2022: Phó Viện trưởng Viện Toán học
  • 2018 - 2020: Giám đốc Trung tâm Đào tạo Sau đại học
  • 2006-nay: Viện Toán Học, Viện Hàn Lâm Khoa Học và Công Nghệ Việt Nam

Các lĩnh vực quan tâm: Lý thuyết định tính hệ động lực ngẫu nhiên

DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

Danh sách gần đây
1Adam Czornik, Đoàn Thái Sơn, On the Lyapunov exponents of triangular discrete time-varying systems, Mathematische Nachrichten: Volume 298, Issue 3, Page 976-997, (SCI-E, Scopus).
2Đoàn Thái Sơn, Phan Thi Huong, Peter E. Kloeden, Theta-scheme for solving Caputo fractional differential equations, Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 05, pp. 1-13, (SCI-E, Scopus).
3Đoàn Thái Sơn, P.E. Kloeden, Asymptotic behaviour of non-autonomous Caputo fractional differential equations with a one-sided dissipative vector field, Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, Numbers 1(104)−2(105), 2024, Pages 44–52, (Scopus).
4Đoàn Thái Sơn, P. E. Kloeden, Attractors of Caputo semi-dynamical systems, Fractional Calculus and Applied Analysis, Volume 27, pages 2305–2316, (2024), (SCI-E, Scopus).
5Pham The Anh, Adam Czornik, Đoàn Thái Sơn, Nguyen Thi Thu Suong, Assignment of spectrum for time-varying linear control systems via kinematic equivalence, Systems & Control Letters Volume 186, April 2024, 105763, (SCI-e, Scopus).
6Phan Thi Huong, Peter Kloeden, Đoàn Thái Sơn, Well-posedness and regularity for solutions of Caputo stochastic fractional differential equations in $ L^p $ spaces, Stochastic Analysis and Application, Vol 41 (2023), No. 1, 1-15, (SCI-E, Scopus).
7Do Duc Thuan, Đoàn Thái Sơn, Le Viet Cuong, A characterization of delay independent stability for linear off-diagonal delay difference equations. Systems & Control Letters 171(2023), Paper No. 105428, (SCI-E, Scopus).
8Đoàn Thái Sơn, Peter E. Kloeden , Attractors of Caputo fractional differential equations with triangular vector fields, Fractional Calculus and Applied Analysis volume 25 (2022), pages720–734, (SCI-E, Scopus).
9Pham The Anh, Artur Babiarz, Adam Czornik, Đoàn Thái Sơn, Proportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems, SIAM Journal on Control and OptimizationVol. 60 (2022), pp. 1294--1319, (SCI-E, Scopus).
10Artur Babiarz, Le Viet Cuong, Adam Czornik, Đoàn Thái Sơn, Necessary and sufficient conditions for assignability of dichotomy spectrum of one-sided discrete time-varying linear systems, IEEE-Transactions on Automatic Control, Volume 67 (2022), Issue 4, 2039-2043, (SCI-E, Scopus, Preprint: download here).
11Pham The Anh, Adam Czornik, Đoàn Thái Sơn, Stefan Siegmund, Proportional Local Assignability of Dichotomy Spectrum of One-sided Continuous Time-Varying Linear Systems, Journal of Differential Equations Volume 309 (2022), 176-195, (SCI-E, Scopus, Preprint: download here).
12Peter De Maesschalck, Đoàn Thái Sơn, Jeroen Wynen, Intrinsic determination of the criticality of a slow-fast Hopf bifurcation, Journal of Dynamics and Differential Equations, 33(2021), 2253–2269 , (SCI-E, Scopus, Preprint: download here).
13Đoàn Thái Sơn, Peter Kloeden, Semi-dynamical systems generated by autonomous Caputo fractional differential equations, Vietnam Journal of Mathematics volume 49, pages1305–1315 (2021), (Scopus, Preprint: download here)).
14Cấn Văn Hảo, Đoàn Thái Sơn, Nguyễn Văn Quyết, Limit theorems for the one dimensional random walk with random resetting to the maximum, Journal of Statistical Physics, 183 (2021), Article number: 21, (SCI-E, Scopus, Preprint: download here).
15Artur Babiarz, Le Viet Cuong, Adam Czornik, Đoàn Thái Sơn, Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems, Automatica 125 (2021), 109466, SCI-E, Scopus, Preprint: download here.
16Le Viet Cuong, Đoàn Thái Sơn, Assignability of dichotomy spectra for discrete time-varying linear control systems, Discrete and Continuous Dynamical Systems, Series B, 2020, 25(9): 3597-3607, SCI(-E); Scopus.
17Đoàn Thái Sơn, Phan Thị Hương, Peter Kloeden and Vu Anh Mỹ, Euler-Maruyama Scheme for Caputo Stochastic Fractional Differential Equations, Journal of Computational and Applied Mathematics, 380 (2020), 112989, (SCI(-E); Scopus).
18Le Viet Cuong, Đoàn Thái Sơn, S. Siegmund, A Sternberg theorem for nonautonomous differential equations, Journal of Dynamics and Differential Equations 31 (2019), 1279-1299, SCI(-E), Scopus.
19Pham The Anh, Đoàn Thái Sơn, Phan Thi Huong, A variation of constant formula for Caputo fractional stochastic differential equations. Statistics and Probability Letters 145 (2019), 351-358, SCI(-E), Scopus.
20Đoàn Thái Sơn, Maximilian Engel, Jeroen S W Lamb, Martin Rasmussen, Hopf bifurcation with additive noise, Nonlinearity, 31 (2018), 4567–4601, SCI(-E); Scopus.
21Đoàn Thái Sơn, P.T. Huong, P.E. Kloeden, Hoàng Thế Tuấn, Asymptotic separation between solutions of Caputo fractional stochastic differential equations. Stochastic Analysis and Applications, 36 (2018), issue 4, 654-664 (SCI(-E); Scopus).
22Nguyễn Đình Công, Đoàn Thái Sơn, Hoàng Thế Tuấn, Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations. Vietnam Journal of Mathematics. 46(2018), pp 665–680, Scopus.
23Peter De Maesschalck, Đoàn Thái Sơn, Gevrey normal form for unfoldings of nilpotent contact points of planar slow fast systems. Annales de l'Institut Fourier 67 (2017), 2597-2621, SCI(-E); Scopus.
24Đoàn Thái Sơn, K. Palmer, M. Rasmussen, The Bohl spectrum for linear nonautonomous differential equations, Journal of Dynamics and Differential Equations 29 (2017), 1459–1485, SCI(-E); Scopus..
25M. Callaway, Đoàn Thái Sơn, J. Lamb, M. Rasmussen, The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53, (2017), 1548-1574,SCI(-E); Scopus.
26Pham The Anh, Đoàn Thái Sơn, Explicit formulas for the top Lyapunov exponents of planar linear stochastic differential equations. Stochastic Analysis and Applications, 35 (2017), 662-676, SCI(-E); Scopus.
27Đoàn Thái Sơn, On analyticity of Lyapunov exponents of generic bounded linear random dynamical systems. Discrete and Continuous Dynamical Systems, Series B, 22 (2017), 3113 - 3126, SCI(-E); Scopus.
28Nguyễn Đình Công, Đoàn Thái Sơn, Hoàng Thế Tuấn, A Perron-type theorem for fractional differential systems. Electronic Journal of Differential Equations, 2017 (2017), No. 142, 1-12, SCI(-E); Scopus.
29Nguyễn Đình Công, Đoàn Thái Sơn, Stefan Siegmund, Hoàng Thế Tuấn, An instability theorem for nonlinear fractional differential systems. Discrete and Continuous Dynamical Systems - Series B, 22 ( 2017), 3079 - 3090, SCI(-E); Scopus.
30Nguyễn Đình Công, Đoàn Thái Sơn, S. Siegmund, Hoàng Thế Tuấn, On stable manifolds for fractional differential equations in high-dimensional spaces, Nonlinear Dynamics, 86 (2016), 1885–1894, SCI(-E); Scopus.
31Marko Budišić, Stefan Siegmund, Đoàn Thái Sơn, Igor Mezic, Mesochronic Classifi cation of Incompressible 3D Finite-Time Vector Fields, Discrete and Continuous Dynamical Systems, Series S, 9 (2016), 923-958, SCI(-E); Scopus.
32Nguyễn Đình Công, Đoàn Thái Sơn, On intergral separation of bounded linear random differential equations, Discrete and Continuous Dynamical Systems, Series S, 9 (2016), 995-1007, SCI(-E); Scopus.
33Joseph Páez Chávez, Lưu Hoàng Đức, Đoàn Thái Sơn, Stefan Siegmund, Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves. Journal of Biological Dynamics, 10 (2016), 379-394, SCI(-E); Scopus.
34Nguyễn Đình Công, Đoàn Thái Sơn, Siegmund Stefan, Hoàng Thế Tuấn, Linearized asymptotic stability for fractional differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 39 (2016), 1-13, SCI(-E); Scopus.
35Đoàn Thái Sơn, P.E. Kloeden, M. Rasmussen, The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor, Discrete and Continuous Dynamical Systems, Series B, 20 (2015), 3, 875-887, SCI(-E), Scopus.
36Đoàn Thái Sơn, A. Kalauch, M. Klose and S. Siegmund, Stability of positive linear switched systems on ordered Banach spaces, System and Control Letters, 75 (2015), 14-19, SCI(-E), Scopus.
37Nguyễn Đình Công, Đoàn Thái Sơn, Stefan Siegmund, On Lyapunov exponents of difference equations with random delay, Discrete and Continuous Dynamical Systems – Series B, 20(2015), 861-874, SCI(-E), Scopus.
38P. Bonckaert, P. De Maesschalck, Đoàn Thái Sơn, S. Siegmund, Partial linearization for planar nonautonomous differential equations. Journal of Differential Equations, 258 (2015), 1618-1652, SCI(-E), Scopus.
39Nguyễn Đình Công, Đoàn Thái Sơn, Hoàng Thế Tuấn, Stefan Siegmund, Structure of the Fractional Lyapunov Spectrum for Linear Fractional Differential Equations, Advances in Dynamical Systems and Applications, 9 (2014), 149-159, SCI(-E), Scopus.
40Nguyễn Đình Công, Đoàn Thái Sơn, Hoàng Thế Tuấn, On fractional lyapunov exponent for solutions of linear fractional differential equations, Fractional Calculus and Applied Analysis, 17 (2014), 285-306, SCI(-E); Scopus.
41Nguyễn Đình Công, Đoàn Thái Sơn, Stefan Siegmund, Hoàng Thế Tuấn, On stable manifolds for planar fractional differential equations, Applied Mathematics and Computation, 226 (2014), 1, 157-168, SCI(-E); Scopus.
42Đoàn Thái Sơn, A. Kalauch, Stefan Siegmund, Hyperbolicity radius of time-invariant linear systems, Proceedings of the International Conference on Differential Difference Equations and Applications, Springer Proceedings in Mathematics and Statistics 47 (2013), 113-125.
43Đoàn Thái Sơn, A. Kalauch and S. Siegmund, A constructive approach to linear Lyapunov functions for positive switched systems using Collatz-Wielandt sets,  IEEE-Transactions on Automatic Control, 58 (2013),  748 -- 751, SCI(-E); Scopus.
44Đoàn Thái Sơn, S. Siegmund, Differential equations with  random delay, Fields Institute Communications, 64 (2013), 279 - 303, Scopus.
45Đoàn Thái Sơn, M. Moussi and S. Siegmund, Integral manifolds of nonautonomous boundary Cauchy problem,  Journal of Nonlinear Evolution Equations and Applications 2012 (1), 1-15.
46Đoàn Thái Sơn, S. Siegmund, Finite-time attractivity for diagonnally dominant systems with off-diagonal delays,  Abstract and applied Analysis, 2012 (2012), 10p, SCI(-E); Scopus.
47Đoàn Thái Sơn, Nguyen Tien Yet, D. Karrasch and S. Siegmund, A unified approach to finite-time lyapunov exponents,  Journal of Differential Equations, 252 (2012), 5535 -- 5554,SCI(-E); Scopus.
48Đoàn Thái Sơn, Nguyen Tien Yet, T. Jaeger, S. Siegmund, Nonautonomous saddle-node bifurcations in the quasiperiodically forced logistic map, International Journal of Bifurcation and Chaos 21 (2011), 1427 - 1438, SCI(-E); Scopus.
49Đoàn Thái Sơn, K. Palmer and S. Siegmund, Transient spectral property, stable and unstable cones and Gershgorin’s theorem for finite-time differential equations,  Journal of Differential Equations   250 (2011), 4177 - 4199, SCI(-E); Scopus.
50Nguyễn Đình Công, Đoàn Thái Sơn, S. Siegmund, A Bohl-Perron type theorem for random dynamical systems, Discrete and Continuous Dynamical Systems, Supplement volume 2011, 322 - 331, SCI(-E); Scopus.
51Đoàn Thái Sơn, A. Kalauch, S. Siegmund and F. R. Wirth, Stability radii for positive linear time-invariant systems on time scales, Systems and Control Letters, 59 (2010), 173 -- 179, SCI(-E); Scopus.
52H. Crauel, Đoàn Thái Sơn, Stefan Siegmund, Difference equations with random delay. Journal of Difference Equations and Applications, Vol 15 (2009), 627-647.
53Đoàn Thái Sơn, Anke Kalauch and Stefan Siegmund, Exponential stability of linear time-invariant systems on time scales, Nonlinear Dynamics and Systems Theory, 9 (2009), 37-50.
54Arno Berger, Đoàn Thái Sơn, Stefan Siegmund, A definition of spectrum for differential equations on finite time, Journal of Differential Equations, 246 (2009), 1098-1118.
55Arno Berger, Đoàn Thái Sơn, Stefan Siegmund, Nonautonomous finite-time dynamics, Discrete and Continuous Dynamical Systems-B 9 (2008), 463-492.
56Nguyễn Đình Công, Đoàn Thái Sơn, S. Siegmund, A computational ergodic theorem for infinite iterated function systems, Stoch. Dyn. 8 (2008),  N0 3, 365 - 381.
57Arno Berger, Đoàn Thái Sơn, Stefan Siegmund, A remark on finite-time hyperbolicity, Proc. Appl. Math. Mech., 8 (2008), 10917-10918.
58Nguyễn Đình Công, Đoàn Thái Sơn, An open set of unbounded cocycles with simple Lyapunov spectrum and no exponential separation, Stoch. Dyn. 7 (2007), 335 - 355.
Tiền ấn phẩm
1IMH20241201, Đoàn Thái Sơn, Phan Thi Huong and Peter Kloeden, The $\theta$-scheme for Caputo fractional differential equations, To appear in Electronic Journal of Differential Equations.
2IMH20240704, Đoàn Thái Sơn, P. E. Kloeden, Attractors of Caputo semi-dynamical systems, To appear in Fractional Calculus and Applied Analysis.