### Doan Thai Son

Doctor of Science
Department of Probability and Mathematical Statistics
Probability and Statistics |

**Address**

Office: Building A5, Room 107

Tel: +84 (0)4 37563474/ 107

Email: dtson AT math.ac.vn

Personal homepage: http://vie.math.ac.vn/~dtson/

*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

*Positions*

- 2006-present: Institute of Mathematics, Vietnam Academy of Science and Technology.

Research areas: Dynamical Systems

**PUBLICATIONS**

*List of publications in MathSciNet*

*List of recent publications*1 | 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. |

2 | 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), 1548-1574. |

3 | 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), 662-676. |

4 | 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. |

5 | Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, A Perron-type theorem for fractional differential systems. Electronic Journal of Differential Equations, 2017 (2017), No. 142, 1-12. |

6 | 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. |

7 | Nguyen Dinh Cong, Doan Thai Son, S. Siegmund, Hoang The Tuan, On stable manifolds for fractional differential equations in high-dimensional spaces, Nonlinear Dynamics, 86 (2016), 1885–1894. |

8 | Marko Budišić, Stefan Siegmund, Doan Thai Son, Igor Mezic, Mesochronic Classification of Incompressible 3D Finite-Time Vector Fields, Discrete and Continuous Dynamical Systems, Series S, 9 (2016), 923-958. |

9 | Nguyen Dinh Cong, Doan Thai Son, On intergral separation of bounded linear random differential equations, Discrete and Continuous Dynamical Systems, Series S, 9 (2016), 995-1007. |

10 | Joseph Páez Chávez, Luu Hoang Duc, Doan Thai Son, 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. |

11 | 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), 1-13. |

12 | Doan Thai Son, 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. |

13 | 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), 14-19. |

14 | 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), 861-874. |

15 | P. Bonckaert, P. De Maesschalck, Doan Thai Son, S. Siegmund, Partial linearization for planar nonautonomous differential equations. Journal of Differential Equations, 258 (2015), 1618-1652. |

16 | 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), 149-159. |

17 | 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), 285-306. |

18 | 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, 157-168. |

19 | Doan Thai Son, 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. |

20 | Doan Thai Son, 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. |

21 | Doan Thai Son, S. Siegmund, Differential equations with random delay, Fields Institute Communications, 64 (2013), 279 - 303. |

22 | Doan Thai Son, M. Moussi and S. Siegmund, Integral manifolds of nonautonomous boundary Cauchy problem, Journal of Nonlinear Evolution Equations and Applications 2012 (1), 1-15. |

23 | Doan Thai Son, S. Siegmund, Finite-time attractivity for diagonnally dominant systems with off-diagonal delays, Abstract and applied Analysis, 2012 (2012), 10p. |

24 | Doan Thai Son, Nguyen Tien Yet, D. Karrasch and S. Siegmund, A unified approach to finite-time lyapunov exponents, Journal of Differential Equations, 252 (2012), 5535 -- 5554. |

25 | Doan Thai Son, 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. |

26 | Doan Thai Son, 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. |

27 | Nguyen Dinh Cong, Doan Thai Son, S. Siegmund, A Bohl-Perron type theorem for random dynamical systems, Discrete and Continuous Dynamical Systems, Supplement volume 2011, 322 - 331. |

28 | Doan Thai Son, 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. |

29 | H. Crauel, Doan Thai Son, Stefan Siegmund, Difference equations with random delay. Journal of Difference Equations and Applications, Vol 15 (2009), 627-647. |

30 | Doan Thai Son, Anke Kalauch and Stefan Siegmund, Exponential stability of linear time-invariant systems on time scales, Nonlinear Dynamics and Systems Theory, 9 (2009), 37-50. |

31 | Arno Berger, Doan Thai Son, Stefan Siegmund, A definition of spectrum for differential equations on finite time, Journal of Differential Equations, 246 (2009), 1098-1118. |

32 | Arno Berger, Doan Thai Son, Stefan Siegmund, Nonautonomous finite-time dynamics, Discrete and Continuous Dynamical Systems-B 9 (2008), 463-492. |

33 | 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. |

34 | Arno Berger, Doan Thai Son, Stefan Siegmund, A remark on finite-time hyperbolicity, Proc. Appl. Math. Mech., 8 (2008), 10917-10918. |

35 | 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. |

*Preprints*1 | IMH20171101, Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations. Accepted to Vietnam Journal of Mathematics. |

2 | IMH20150901, Peter De Maesschalck, Doan Thai Son, Gevrey normal form for unfoldings of nilpotent contact points of planar slow fast systems.To appear in Annales de l'Institut Fourier. |

### Highlights

14/12/17, Conference: International Workshop “Optimization Algorithms and Some Related Problems” |

19/12/17, Conference: International Workshop “Variational Analysis and Optimization Theory” |

12/01/18, Joint Mathematics-Physics Colloquium: Nobel Prize 2017 in Physics – Einstein’s General relativity and Gravitational waves |

26/02/18, Conference: International conference "Nevanlinna theory and Complex Geometry in Honor of Lê Văn Thiêm's Centenary" |

05/03/18, Conference: CIMPA-IMH-VAST research school on "Recent developments in stochastic dynamics and stochastic analysis" |

19/03/18, Conference: 7th International Conference on HIGH PERFORMANCE SCIENTIFIC COMPUTING Modeling, Simulation and Optimization of Complex Processes |