Công bố khoa học

• Công bố khoa học

  1.  Peter E. Kloeden, Đoàn Thái Sơn, Hoàng Thế Tuấn, Lyapunov methods for dissipative Caputo fractional differential equations with two indices, Communications in Nonlinear Science and Numerical Simulation, Volume 157, June 2026, 109737

  2.  Đoàn Thái Sơn, Peter E. Kloeden, Hoàng Thế Tuấn, Attractors of Caputo Fractional Differential Equations, SpringerBriefs in Mathematics, 2026

  3.  Lê Viết Cường, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Proportional local assignability of two-sided dichotomy spectrum of linear time-varying systems, Journal of Differential Equations Volume 477, 5 October 2026, 114592

  4.  Đoàn Thái Sơn, Phan Thị Hương, Peter E. Kloeden, Theta-scheme for solving Caputo fractional differential equations, Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 05, pp. 1-13

  5.  Adam Czornik, Đoàn Thái Sơn, On the Lyapunov exponents of triangular discrete time-varying systems, Mathematische Nachrichten: Volume 298, Issue 3, Page 976-997

  6.  Phạm Thế Anh, Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Assignment of spectrum for time-varying linear control systems via kinematic equivalence, Systems & Control Letters Volume 186, April 2024, 105763.

  7.  Đoàn Thái Sơn, Peter E. Kloeden, Attractors of Caputo semi-dynamical systems, Fractional Calculus and Applied Analysis, Volume 27, pages 2305–2316, (2024)

  8.  Đoàn Thái Sơn, Peter 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

  9.  Đoàn Thái Sơn, Spectral Theory of Nonautonomous Dynamical Systems and Applications, Springer 2024

  10.  Đỗ Đức Thuận, Đoàn Thái Sơn, Lê Viết Cường, A characterization of delay independent stability for linear off-diagonal delay difference equations., Systems & Control Letters 171(2023), Paper No. 105428

  11.  Phan Thị Hương, Peter E. 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

  12.  Phạm Thế 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).

  13.  Adam Czornik, Lê Viết Cường, Artur Babiarz, 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).

  14.  Phạm Thế 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).

  15.  Đoàn 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).

  16.  Artur Babiarz, Lê Viết Cường, 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).

  17.  Cấn 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).

  18.  Đoàn Thái Sơn, Peter E. Kloeden, Semi-dynamical systems generated by autonomous Caputo fractional differential equations, Vietnam Journal of Mathematics volume 49, pages1305–1315 (2021), (Scopus).

  19.  Peter 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).

  20.  Đoàn Thái Sơn, Phan Thị Hương, Peter E. Kloeden, Vũ Anh Mỹ, Euler-Maruyama Scheme for Caputo Stochastic Fractional Differential Equations, Journal of Computational and Applied Mathematics, 380 (2020), 112989 (SCI-E, Scopus).

  21.  Lê Viết Cường, 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).

  22.  Phạm Thế Anh, Đoàn Thái Sơn, Phan Thị Hương, A variation of constant formula for Caputo fractional stochastic differential equations, Statistics and Probability Letters 145 (2019), 351-358 (SCI(-E), Scopus).

  23.  Lê Viết Cường, Đoàn Thái Sơn, Stefan Siegmund, A Sternberg theorem for nonautonomous differential equations, Journal of Dynamics and Differential Equations 31 (2019), 1279-1299 (SCI(-E), Scopus).

  24.  Nguyễn 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).

  25.  Đoàn Thái Sơn, Phan Thị Hương, Peter E. Kloeden, Hoàng Thế Tuấn, 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).

  26.  Đoàn Thái Sơn, Maximilian Engel, Jeroen S W Lamb, Martin Rasmussen, Hopf bifurcation with additive noise, Nonlinearity, 31 (2018), 4567–4601 (SCI(-E); Scopus).

  27.  Nguyễn 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).

  28.  Nguyễn 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).

  29.  Đoàn 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).

  30.  Phạm Thế 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).

  31.  M. Callaway, Đoàn Thái Sơn, Jeroen S W Lamb, Martin 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).

  32.  Đoàn Thái Sơn, Kenneth J. Palmer, Martin Rasmussen, The Bohl spectrum for linear nonautonomous differential equations, Journal of Dynamics and Differential Equations 29 (2017), 1459–1485 (SCI(-E); Scopus).

  33.  Peter 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).

  34.  Nguyễn Đình Công, Đoàn Thái Sơn, Stefan Siegmund, Hoàng Thế Tuấn, On stable manifolds for fractional differential equations in high-dimensional spaces, Nonlinear Dynamics, 86 (2016), 1885–1894 (SCI(-E); Scopus).

  35.  Nguyễn Đình Công, Đoàn Thái Sơn, Hoàng Thế Tuấn, Stefan Siegmund, Linearized asymptotic stability for fractional differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 39 (2016), 1-13 (SCI(-E); Scopus).

  36.  Lưu Hoàng Đức, Joseph Páez Chávez, 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).

  37.  Nguyễn 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).

  38.  Marko Budišić, Stefan Siegmund, Đoàn Thái Sơn, Igor Mezić, Mesochronic classification of Incompressible 3D Finite-Time Vector Fields, Discrete and Continuous Dynamical Systems, Series S, 9 (2016), 923-958 (SCI(-E); Scopus.).

  39.  Patrick Bonckaert, Peter De Maesschalck, Đoàn Thái Sơn, Stefan Siegmund, Partial linearization for planar nonautonomous differential equations, Journal of Differential Equations, 258 (2015), 1618-1652 (SCI(-E), Scopus).

  40.  Nguyễn 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).

  41.  Đoàn Thái Sơn, Anke Kalauch, Markus Klose, Stefan Siegmund, Stability of positive linear switched systems on ordered Banach spaces, System and Control Letters, 75 (2015), 14-19 (SCI(-E), Scopus).

  42.  Đoàn Thái Sơn, Peter E. Kloeden, Martin 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.).

  43.  Nguyễn 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).

  44.  Nguyễn 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).

  45.  Nguyễn 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).

  46.  Stefan Siegmund, Đoàn Thái Sơn, Differential equations with random delay, Fields Institute Communications, 64 (2013), 279 - 303 (Scopus).

  47.  Đoàn Thái Sơn, Stefan Siegmund, Anke Kalauch, 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).

  48.  Đoàn Thái Sơn, Anke 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.

  49.  Đoàn Thái Sơn, D. Karrasch, Nguyễn Tiến Yết, Stefan Siegmund, A unified approach to finite-time lyapunov exponents, Journal of Differential Equations, 252 (2012), 5535 -- 5554

  50.  Đoàn Thái Sơn, Stefan Siegmund, Finite-time attractivity for diagonnally dominant systems with off-diagonal delays, Abstract and applied Analysis, 2012 (2012), 10p

  51.  Đoàn Thái Sơn, M. Moussi, Stefan Siegmund, Integral manifolds of nonautonomous boundary Cauchy problem, Journal of Nonlinear Evolution Equations and Applications 2012 (1), 1-15

  52.  Nguyễn Đình Công, Đoàn Thái Sơn, Stefan Siegmund, A Bohl-Perron type theorem for random dynamical systems, Discrete and Continuous Dynamical Systems, Supplement volume 2011, 322 - 331

  53.  Đoàn Thái Sơn, Kenneth J. Palmer, Stefan 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

  54.  Nguyễn Tiến Yết, Đoàn Thái Sơn, Tobias Jäger, Stefan Siegmund, Siegmund, Nonautonomous saddle-node bifurcations in the quasiperiodically forced logistic map, International Journal of Bifurcation and Chaos 21 (2011), 1427 - 1438

  55.  Đoàn Thái Sơn, Anke Kalauch, Stefan Siegmund, Fabian R. Wirth, Stability radii for positive linear time-invariant systems on time scales, Systems and Control Letters, 59 (2010), 173 -- 179

  56.  Arno Berger, Đoàn Thái Sơn, Stefan Siegmund, A definition of spectrum for differential equations on finite time, Journal of Differential Equations, 246 (2009), 1098-1118

  57.  Anke Kalauch, Đoàn Thái Sơn, Stefan Siegmund, Exponential stability of linear time-invariant systems on time scales,, Nonlinear Dynamics and Systems Theory, 9 (2009), 37-50.

  58.  H. Crauel, Đoàn Thái Sơn, Stefan Siegmund, Difference equations with random delay, Journal of Difference Equations and Applications, Vol 15 (2009), 627-647

  59.  Arno Berger, Đoàn Thái Sơn, Stefan Siegmund, A remark on finite-time hyperbolicity, Proceedings in Applied Mathematics and Mechanics, 8 (2008), 10917-10918

  60.  Nguyễn Đình Công, Đoàn Thái Sơn, Stefan Siegmund, A computational ergodic theorem for infinite iterated function systems, Stochastics and Dynamics, 8 (2008), N0 3, 365 - 381

  61.  Arno Berger, Đoàn Thái Sơn, Stefan Siegmund, Nonautonomous finite-time dynamics, Discrete and Continuous Dynamical Systems-B 9 (2008), 463-492.

  62.  Nguyễn Đình Công, Đoàn Thái Sơn, An open set of unbounded cocycles with simple Lyapunov spectrum and no exponential separation, Stochastics and Dynamics, 7 (2007), 335 - 355