Doan Thai Son
Associate Professor, Doctor of Science
Department of Probability and Mathematical Statistics

Address
Office: Building A5, Room 107
Tel: +84 (02)4 37563474/ 107
Email: dtson AT math.ac.vn
Education and academic degrees
 2006: Bachelor/Master: Hanoi university of Science, Vietnam
 2009: PhD, Technical University Dresden, Germany
 2016: Doctor of Science, Technical University Dresden, Germany
 2017: Associate Professor
Positions
 2006present: Institute of Mathematics, Vietnam Academy of Science and Technology.
Research areas: Dynamical Systems
PUBLICATIONS
List of publications in MathSciNet
List of recent publications1  Doan Thai Son, Peter Kloeden, Semidynamical systems generated by autonomous Caputo fractional differential equations, Vietnam Journal of Mathematics volume 49, pages1305–1315 (2021), (Scopus). 
2  Can Van Hao, Doan Thai Son, 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, (SCIE, Scopus). 
3  Artur Babiarz, Le Viet Cuong, Adam Czornik, Doan Thai Son, Necessary and sufficient conditions for assignability of dichotomy spectra of continuous timevarying linear systems, Automatica 125 (2021), 109466,SCIE, Scopus. 
4  Le Viet Cuong, Doan Thai Son, Assignability of dichotomy spectra for discrete timevarying linear control systems, Discrete and Continuous Dynamical Systems, Series B, 2020, 25(9): 35973607, SCI(E); Scopus. 
5  Doan Thai Son, Phan Thị Hương, Peter Kloeden and Vu Anh Mỹ, EulerMaruyama Scheme for Caputo Stochastic Fractional Differential Equations, Journal of Computational and Applied Mathematics, 380 (2020), 112989, (SCI(E); Scopus). 
6  Le Viet Cuong, Doan Thai Son, S. Siegmund, A Sternberg theorem for nonautonomous differential equations, Journal of Dynamics and Differential Equations 31 (2019), 12791299, SCI(E), Scopus. 
7  Pham The Anh, Doan Thai Son, Phan Thi Huong, A variation of constant formula for Caputo fractional stochastic differential equations. Statistics and Probability Letters 145 (2019), 351358, SCI(E), Scopus. 
8  Doan Thai Son, Maximilian Engel, Jeroen S W Lamb, Martin Rasmussen, Hopf bifurcation with additive noise, Nonlinearity, 31 (2018), 4567–4601, SCI(E); Scopus. 
9  Doan Thai Son, P.T. Huong, P.E. Kloeden, Hoang The Tuan, Asymptotic separation between solutions of Caputo fractional stochastic differential equations. Stochastic Analysis and Applications, 36 (2018), issue 4, 654664 (SCI(E); Scopus). 
10  Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations. Vietnam Journal of Mathematics. 46(2018), pp 665–680, Scopus. 
11  Peter De Maesschalck, Doan Thai Son, Gevrey normal form for unfoldings of nilpotent contact points of planar slow fast systems. Annales de l'Institut Fourier 67 (2017), 25972621, SCI(E); Scopus. 
12  Doan Thai Son, 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.. 
13  M. Callaway, Doan Thai Son, 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), 15481574,SCI(E); Scopus. 
14  Pham The Anh, Doan Thai Son, Explicit formulas for the top Lyapunov exponents of planar linear stochastic differential equations. Stochastic Analysis and Applications, 35 (2017), 662676, SCI(E); Scopus. 
15  Doan Thai Son, 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. 
16  Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, A Perrontype theorem for fractional differential systems. Electronic Journal of Differential Equations, 2017 (2017), No. 142, 112, SCI(E); Scopus. 
17  Nguyen Dinh Cong, Doan Thai Son, Stefan Siegmund, Hoang The Tuan, An instability theorem for nonlinear fractional differential systems. Discrete and Continuous Dynamical Systems  Series B, 22 ( 2017), 3079  3090, SCI(E); Scopus. 
18  Nguyen Dinh Cong, Doan Thai Son, S. Siegmund, Hoang The Tuan, On stable manifolds for fractional differential equations in highdimensional spaces, Nonlinear Dynamics, 86 (2016), 1885–1894, SCI(E); Scopus. 
19  Marko Budišić, Stefan Siegmund, Doan Thai Son, Igor Mezic, Mesochronic Classification of Incompressible 3D FiniteTime Vector Fields, Discrete and Continuous Dynamical Systems, Series S, 9 (2016), 923958, SCI(E); Scopus. 
20  Nguyen Dinh Cong, Doan Thai Son, On intergral separation of bounded linear random differential equations, Discrete and Continuous Dynamical Systems, Series S, 9 (2016), 9951007, SCI(E); Scopus. 
21  Joseph Páez Chávez, Luu Hoang Duc, Doan Thai Son, Stefan Siegmund, Finitetime Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves. Journal of Biological Dynamics, 10 (2016), 379394, SCI(E); Scopus. 
22  Nguyen Dinh Cong, Doan Thai Son, Siegmund Stefan, Hoang The Tuan, Linearized asymptotic stability for fractional differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 39 (2016), 113, SCI(E); Scopus. 
23  Doan Thai Son, P.E. Kloeden, M. Rasmussen, The meansquare dichotomy spectrum and a bifurcation to a meansquare attractor, Discrete and Continuous Dynamical Systems, Series B, 20 (2015), 3, 875887, SCI(E), Scopus. 
24  Doan Thai Son, A. Kalauch, M. Klose and S. Siegmund, Stability of positive linear switched systems on ordered Banach spaces, System and Control Letters, 75 (2015), 1419, SCI(E), Scopus. 
25  Nguyen Dinh Cong, Doan Thai Son, Stefan Siegmund, On Lyapunov exponents of difference equations with random delay, Discrete and Continuous Dynamical Systems – Series B, 20(2015), 861874, SCI(E), Scopus. 
26  P. Bonckaert, P. De Maesschalck, Doan Thai Son, S. Siegmund, Partial linearization for planar nonautonomous differential equations. Journal of Differential Equations, 258 (2015), 16181652, SCI(E), Scopus. 
27  Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, Stefan Siegmund, Structure of the Fractional Lyapunov Spectrum for Linear Fractional Differential Equations, Advances in Dynamical Systems and Applications, 9 (2014), 149159, SCI(E), Scopus. 
28  Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, On fractional lyapunov exponent for solutions of linear fractional differential equations, Fractional Calculus and Applied Analysis, 17 (2014), 285306, SCI(E); Scopus. 
29  Nguyen Dinh Cong, Doan Thai Son, Stefan Siegmund, Hoang The Tuan, On stable manifolds for planar fractional differential equations, Applied Mathematics and Computation, 226 (2014), 1, 157168, SCI(E); Scopus. 
30  Doan Thai Son, A. Kalauch, Stefan Siegmund, Hyperbolicity radius of timeinvariant linear systems, Proceedings of the International Conference on Differential Difference Equations and Applications, Springer Proceedings in Mathematics and Statistics 47 (2013), 113125. 
31  Doan Thai Son, A. Kalauch and S. Siegmund, A constructive approach to linear Lyapunov functions for positive switched systems using CollatzWielandt sets, IEEETransactions on Automatic Control, 58 (2013), 748  751, SCI(E); Scopus. 
32  Doan Thai Son, S. Siegmund, Differential equations with random delay, Fields Institute Communications, 64 (2013), 279  303, Scopus. 
33  Doan Thai Son, M. Moussi and S. Siegmund, Integral manifolds of nonautonomous boundary Cauchy problem, Journal of Nonlinear Evolution Equations and Applications 2012 (1), 115. 
34  Doan Thai Son, S. Siegmund, Finitetime attractivity for diagonnally dominant systems with offdiagonal delays, Abstract and applied Analysis, 2012 (2012), 10p, SCI(E); Scopus. 
35  Doan Thai Son, Nguyen Tien Yet, D. Karrasch and S. Siegmund, A unified approach to finitetime lyapunov exponents, Journal of Differential Equations, 252 (2012), 5535  5554,SCI(E); Scopus. 
36  Doan Thai Son, Nguyen Tien Yet, T. Jaeger, S. Siegmund, Nonautonomous saddlenode bifurcations in the quasiperiodically forced logistic map, International Journal of Bifurcation and Chaos 21 (2011), 1427  1438, SCI(E); Scopus. 
37  Doan Thai Son, K. Palmer and S. Siegmund, Transient spectral property, stable and unstable cones and Gershgorin’s theorem for finitetime differential equations, Journal of Differential Equations 250 (2011), 4177  4199, SCI(E); Scopus. 
38  Nguyen Dinh Cong, Doan Thai Son, S. Siegmund, A BohlPerron type theorem for random dynamical systems, Discrete and Continuous Dynamical Systems, Supplement volume 2011, 322  331, SCI(E); Scopus. 
39  Doan Thai Son, A. Kalauch, S. Siegmund and F. R. Wirth, Stability radii for positive linear timeinvariant systems on time scales, Systems and Control Letters, 59 (2010), 173  179, SCI(E); Scopus. 
40  H. Crauel, Doan Thai Son, Stefan Siegmund, Difference equations with random delay. Journal of Difference Equations and Applications, Vol 15 (2009), 627647. 
41  Doan Thai Son, Anke Kalauch and Stefan Siegmund, Exponential stability of linear timeinvariant systems on time scales, Nonlinear Dynamics and Systems Theory, 9 (2009), 3750. 
42  Arno Berger, Doan Thai Son, Stefan Siegmund, A definition of spectrum for differential equations on finite time, Journal of Differential Equations, 246 (2009), 10981118. 
43  Arno Berger, Doan Thai Son, Stefan Siegmund, Nonautonomous finitetime dynamics, Discrete and Continuous Dynamical SystemsB 9 (2008), 463492. 
44  Nguyen Dinh Cong, Doan Thai Son, S. Siegmund, A computational ergodic theorem for infinite iterated function systems, Stoch. Dyn. 8 (2008), N0 3, 365  381. 
45  Arno Berger, Doan Thai Son, Stefan Siegmund, A remark on finitetime hyperbolicity, Proc. Appl. Math. Mech., 8 (2008), 1091710918. 
46  Nguyen Dinh Cong, Doan Thai Son, An open set of unbounded cocycles with simple Lyapunov spectrum and no exponential separation, Stoch. Dyn. 7 (2007), 335  355. 
1  IMH20210902, Phan Thi Huong, Peter Kloeden, Doan Thai Son, Wellposedness and regularity for solutions of Caputo stochastic fractional differential equations in $ L^p $ spaces. To appear in Stochastic Analysis and Application. 
2  IMH202108089, Doan Thai Son, Peter Kloeden, Attractors of Caputo fractional differential equations with triangular vector fields. 
3  IMH20210401, Artur Babiarz, Le Viet Cuong, Adam Czornik, Doan Thai Son, Necessary and sufficient conditions for assignability of dichotomy spectrum of onesided discrete timevarying linear systems. To appear in IEEETransactions on Automatic Control. 
4  IMH20200503, Peter De Maesschalck, Doan Thai Son, Jeroen Wynen, Intrinsic determination of the criticality of a slowfast Hopf bifurcation.To appear in Journal of Dynamics and Differential Equations, Doi: https://doi.org/10.1007/s1088402009903x. 