Institute of Mathematics, Vietnam Academy of Science and Technology

18 Hoang Quoc Viet Road, Hanoi, Vietnam

- Ph.D., 2009, Technical University Dresden, Germany
- B.s., 2006, Ha Noi University of Science, Viet Nam

- Marie Curie Fellowship (2012-2014), Imperial College London.

- Qualitative theory for stochastic differential equations,
- Finite-time dynamics theory,
- Bifurcation theory,
- Theory of invariant manifolds,
- Multi-scale dynamical systems

- The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor (with P.E. Kloeden and M. Rasmussen).
*Discrete and Continuous Dynamical Systems, Series B***20**(2015), no. 3, 875-887. - On Lyapunov exponents of difference equations with random delay (with N.D. Cong and S. Siegmund).
*Discrete and Continuous Dynamical Systems, Series B***20**(2015), no. 3, 861-874. - Partial linearization for planar nonautonomous differential equations (with P. Bonckaert, P. De Maesschalck and S. Siegmund),
*Journal of Differential Equations***258**(2015), no. 5, 1618-1652. - Stability of positive linear switched systems on ordered Banach spaces (with A. Kalauch, M. Klose and S. Siegmund),
*System and Control Letters***75**(2015), 14-19. - Structure of the fractional Lyapunov spectrum for linear fractional differential equations (with N.D. Cong, S. Siegmund and H.T. Tuan),
*Advances in Dynamical Systems and Applications***9**(2014), 133-147. - On fractional Lyapunov exponent for solutions of linear fractional differential equations (with N.D. Cong and H.T. Tuan),
*Fractional Calculus and Applied Analysis***17**(2014), no. 2, 285-306. - On stable manifolds for planar fractional differential equations (with N.D. Cong, S. Siegmund and H.T. Tuan),
*Applied Mathematics and Computation***226**(2014), no. 1, 157-168. - A constructive approach to linear Lyapunov functions for positive switched systems using Collatz-Wielandt sets (with A. Kalauch and S. Siegmund),
*IEEE Transactions on Automatic Control***64**(2013), no. 3, 748-751. - Differential equations with random delay (with S. Siegmund),
*Fields Institute Communications***64**(2013), 279-303. - Finite-time attractivity for diagonally dominant systems with off-diagonal delays (with S. Siegmund),
*Abstract and Applied Analysis*(2012), Article ID210156, 10 pages, doi:10.1155/2012/210156. - A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents (with D. Karrasch, T.Y. Nguyen and S. Siegmund),
*Journal of Differential Equations***252**(2012), no. 10, 5535-5554. - Integral manifolds of nonautonomous boundary Cauchy problems
(with M. Moussi and S. Siegmund),
*Journal of Nonlinear Evolution Equations and Applications***1**(2012), 1-15. - Nonautonomous saddle-node bifurcations in the quasiperiodically forced logistic map
(with T.Y.Nguyen, T. Jaeger and S. Siegmund),
*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering***21**(2011), no. 5, 1427-1438. - Transient spectral theory, stable and unstable cones and Gershgorin's theorem for finite-time differential equations
(with K. Palmer and S. Siegmund),
*Journal of Differential Equations***250**(2011), no. 11, 4177-4199. - Stability radii for positive linear time-invariant systems on time scales
(with A. Kalauch, S. Siegmund and F. Wirth),
*Systems and Control Letter***59**(2010), no. 3-4, 173-179. - Difference equations with random delay
(with H. Crauel and S. Siegmund),
*Journal of Difference Equations and Applications***15**(2009), no. 7, 627-647. - Exponential stability of linear time-invariant systems on time scales
(with A. Kalauch and S. Siegmund),
*Nonlinear Dynamics and Systems Theory***9**(2009), no. 1, 37-50. - A definition of spectrum for differential equations on finite time
(with A. Berger and S. Siegmund),
*Journal of Differential Equations***246**(2009), no. 3, 1098-1118. - A computational ergodic theorem for infinite iterated function systems
(with N.D. Cong and S. Siegmund),
*Stochastic and Dynamics***8**(2008), no. 3, 365-381. - Nonautonomous finite-time dynamics
(with A. Berger and S. Siegmund),
*Discrete and Continuous Dynamical Systems-B***9**(2008), no. 3-4, 463-492. - An open set of unbounded cocycles with simple Lyapunov spectrum and no exponential separation
(with N.D. Cong),
*Stochastic and Dynamics***7**(2007), no. 3, 335-355.

- The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise (with M. Callaway, J. Lamb and M. Rasmussen).
- On stable manifold for fractional differential equations in high dimensional space (with N.D. Cong, S. Siegmund and H. T. Tuan).

- A remark on finite-time hyperbolicity (with A. Berger and S. Siegmund),
*PAMM, Proc. Appl. Math. Mech.***8**(2008), 10917-10918. - A Bohl-Perron type theorem for random dynamical systems (with N.D. Cong and S. Siegmund),
*Discrete Contin. Dynam. Systems*2011, Added Volume, 322-331. - Hyperbolicity radius of time-invariant linear systems (with A. Kalauch and S. Siegmund),
Proceedings of the International Conference on Differential & Difference Equations and Applications,
*Springer Proceedings in Mathematics and Statistics*47 (2013).

last modified 03/2015