Hoang Duc Luu
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany

Office: A3 09

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+49 341 9959 535

   Fax:
+49 341 9959 658

Hoang Duc Luu

Publications

Journal Articles

Cong, Nguyen Dinh ; Luu, Hoang Duc and Hong, Phan Thanh: Lyapunov spectrum of nonautonomous linear Young differential equations
In: Journal of dynamics and differential equations, Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1007/s10884-019-09780-z ARXIV: https://arxiv.org/abs/1807.02680

Llanos, Eugenio J. ; Leal, Wilmer ; Luu, Hoang Duc ; Jost, Jürgen ; Stadler, Peter F. and Restrepo, Guillermo: Exploration of the chemical space and its three historical regimes
In: Proceedings of the National Academy of Sciences of the United States of America, 116 (2019) 26, p. 12660-12665
Bibtex DOI: 10.1073/pnas.1816039116

Luu, Hoang Duc ; Hong, Phan Thanh and Cong, Nguyen Dinh: Asymptotic stability for stochastic dissipative systems with a Hölder noise
In: SIAM journal on control and optimization, 57 (2019) 4, p. 3046-3071
Bibtex DOI: 10.1137/19M1236527 ARXIV: https://arxiv.org/abs/1812.04556

Yamakou, Marius Emar ; Tran, Tat Dat ; Luu, Hoang Duc and Jost, Jürgen: The stochastic FitzHugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model
In: Journal of mathematical biology, 79 (2019) 2, p. 509-532
Bibtex MIS-Preprint: 45/2018 DOI: 10.1007/s00285-019-01366-z ARXIV: https://arxiv.org/abs/1806.07149

Cong, Nguyen Dinh ; Luu, Hoang Duc and Hong, Phan Thanh: Nonautonomous Young differential equations revisited
In: Journal of dynamics and differential equations, 30 (2018) 4, p. 1921-1943
Bibtex DOI: 10.1007/s10884-017-9634-y ARXIV: https://arxiv.org/abs/1705.07473

Luu, Hoang Duc ; Garrido-Atienza, María J. ; Neuenkirch, Andreas and Schmalfuß, Björn: Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in (1/2,1)
In: Journal of differential equations, 264 (2018) 2, p. 1119-1145
Bibtex DOI: 10.1016/j.jde.2017.09.033 ARXIV: https://arxiv.org/abs/1705.01573

Luu, Hoang Duc and Siegmund, Stefan: A concept of local metric entropy for finite-time nonautonomous dynamical systems
In: Journal of difference equations and applications, 24 (2018) 2, p. 165-179
Bibtex DOI: 10.1080/10236198.2016.1267154 ARXIV: https://arxiv.org/abs/1401.6664

Luu, Hoang Duc ; Tran, Tat Dat and Jost, Jürgen: Ergodicity of scalar stochastic differential equations with Hölder continuous coeffcients
In: Stochastic processes and their applications, 128 (2018) 10, p. 3253-3272
Bibtex MIS-Preprint: 58/2016 DOI: 10.1016/j.spa.2017.10.014 ARXIV: https://arxiv.org/abs/1608.06785

Luu, Hoang Duc ; Paez Chavez, Joseph ; Son, Doan Thai and Siegmund, Stefan: Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus-response curves
In: Journal of biological dynamics, 10 (2016) 1, p. 379-394
Bibtex DOI: 10.1080/17513758.2016.1204016

Luu, Hoang Duc ; Schmalfuß, Björn and Siegmund, Stefan: A note on the generation of random dynamical systems from fractional stochastic delay differential equations
In: Stochastics and dynamics, 15 (2015) 3, 1550018
Bibtex DOI: 10.1142/S0219493715500185

Siegmund, Stefan and Luu, Hoang Duc: A new concept of local metric entropy for finite-time nonautonomous dynamical systems [In: Mixing, transport and coherent structures : 26 January - 1 February 2014 ; report no. 04/20014]
In: Oberwolfach reports, 11 (2014) 1, p. 262-264
Bibtex DOI: 10.4171/OWR/2014/04 ARXIV: https://arxiv.org/abs/1401.6664

Luu, Hoang Duc and Siegmund, Stefan: Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows
In: Journal of dynamics and differential equations, 23 (2011) 3, p. 475-494
Bibtex DOI: 10.1007/s10884-011-9211-8

Luu, Hoang Duc and Siegmund, Stefan: Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time intervals
In: International journal of bifurcation and chaos in applied sciences and engineering, 18 (2008) 3, p. 641-674
Bibtex DOI: 10.1142/S0218127408020562 LINK: https://www.semanticscholar.org/paper/Hyperbolicity-and-Invariant-Manifolds-for-Planar-on-Duc-Siegmund/401f47cc89719023cbfbb483ed28dc63b4fc26f1

Luu, Hoang Duc ; Ilchmann, Achim ; Siegmund, Stefan and Taraba, Peter: On stability of linear time-varying second-order differential equations
In: Quarterly of applied mathematics, 64 (2006) 1, p. 137-151
Bibtex LINK: https://www.jstor.org/stable/43638716

Crauel, Hans ; Luu, Hoang Duc and Siegmund, Stefan: Towards a Morse theory for random dynamical systems

Luu, Hoang Duc: On the absolute regularity of linear random dynamical systems

Publications in Books and Conference Proceedings

Luu, Hoang Duc and Hong, Phan Thanh: Young differential delay equations driven by Hölder continuous paths
In: Modern mathematics and mechanics : fundamentals, problems and challenges / Victor A. Sadovnichiy... (eds.)
Cham : Springer, 2019. - P. 313-333
(Understanding complex systems)
Bibtex DOI: 10.1007/978-3-319-96755-4_17 ARXIV: https://arxiv.org/abs/1802.03193

Luu, Hoang Duc ; Garrido-Atienza, María J. and Schmalfuß, Björn: Dynamics of SPDEs driven by a small fractional Brownian motion with Hurst parameter larger than 1/2
In: Stochastic partial differential equations and related fields : in honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10-14, 2016 / Andreas Eberle... (eds.)
Cham : Springer, 2018. - P. 213-224
(Springer proceedings in mathematics and statistics ; 229)
Bibtex DOI: 10.1007/978-3-319-74929-7_11

Dieu, Bui Xuan ; Luu, Hoang Duc ; Siegmund, Stefan and Minh, Nguyen Van: Asymptotic behavior of linear almost periodic differential equations
In: Mathematical sciences with multidisciplinary applications : in honor of Professor Christiane Rousseau and in recognition of the mathematics for planet earth initiative / Bourama Toni (ed.)
Cham : Springer, 2016. - P. 113-132
(Springer proceedings in mathematics and statistics ; 157)
Bibtex DOI: 10.1007/978-3-319-31323-8_7 ARXIV: https://arxiv.org/abs/1212.0813

Luu, Hoang Duc ; Christmann, Dennis ; Gotzhein, Reinhard ; Siegmund, Stefan and Wirth, Fabian: The stability of Try-Once-Discard for stochastic communication channels : theory and validation
In: 54th IEEE Conference on Decision and Control, December 15-18, 2015, Osaka, Japan / Yoshito Ohta... (eds.)
[Osaka] : IEEE, 2015. - P. 4170-4175
Bibtex DOI: 10.1109/CDC.2015.7402869

Preprints

Jost, Jürgen ; , Hông Vân ; Luu, Hoang Duc and Tran, Tat Dat: Probabilistic mappings and Bayesian nonparametrics

Luu, Hoang Duc: Stability theory for Gaussian rough differential equations Part I.

Luu, Hoang Duc: Stability theory for Gaussian rough differential equations Part II.

Luu, Hoang Duc: Random attractors for rough differential equations

Luu, Hoang Duc and Hong, Phan Thanh: Asymptotic dynamics of Young differential equations : a unified approach
21.09.2019, 05:49