Nguyen Dinh Cong
Full Professor, Doctor of Science
Department of Probability and Mathematical Statistics

Address
Office: Rom 515, A6
Tel: +84 24 37563474
Email: ndcong AT math.ac.vn
Born in Hanoi in 1960
Education and academic degrees:
 Bachelor/Master: 1983, Moscow State University, Russia
 PhD 1987, Moscow State University, Russia
 Doctor of Science 1997, Institute of Mathematics  Polish Academy of Science, Poland
 Associate Professor 2003
 Full Professor 2007
Positions: Professor at Department of Probability and Mathematical Statistics, Institute of Mathematics, Vietnam Academy of Science and Technology
Research areas: Differential equations, Theory of dynamical systems, Probability and Mathematical Statistics
PUBLICATIONS
List of publications in MathSciNet
1  Nguyen Dinh Cong, Semigroup property of fractional differential operators and its applications, Discrete and Continuous Dynamical Systems  Series B, 28(2023), 15313492, (SCIE, Scopus). 
2  Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong, Pullback attractors for stochastic Young differential delay equations, Journal of Dynamics and Differential Equations, 34 (2022), 605–636, (SCIE, Scopus). 
3  Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hồng, Lyapunov spectrum of nonautonomous linear Young differential equations, Journal of Dynamics and Differential Equations, 32 (2020), 1749  1777, SCIE; Scopus. 
4  Nguyen Dinh Cong, Hoang The Tuan, H.Trinh, On asymptotic properties of solutions to fractional differential equations, Journal of Mathematical Analysis and Applications 484(2020) 123759, SCI(E); Scopus. 
5  Luu Hoang Duc, Phan Thanh Hong, Nguyen Dinh Cong, Asymptotic Stability for Stochastic Dissipative Systems with a Hölder Noise, SIAM Journal on Control and Optimization, 57(2019), 3046–3071. (26 pages), SCI(E), Scopus. 
6  Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong, Nonautonomous Young Differential Equations Revisited, Journal of Dynamics and Differential Equations, 30 (2018) pp 1921–1943, SCI(E); Scopus 
7  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. 
8  Nguyen Dinh Cong, Hoang The Tuan, Generation of nonlocal fractional dynamical systems by fractional differential equations. Journal of Integral Equations and Applications, 29 (2017), 124, SCI(E); Scopus. 
9  Nguyen Dinh Cong, Hoang The Tuan, Existence, uniqueness and exponential boundedness of global solutions to delay fractional differential equations, Mediterranean Journal of Mathematics, 14 (2017), SCI(E); Scopus. 
10  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. 
11  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. 
12  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. 
13  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. 
14  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. 
15  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. 
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), 149159, SCI(E), Scopus. 
17  Nguyen Dinh Cong, Stefan Siegmund, Nguyen Thi The, Adjoint equation and Lyapunov regularity for linear stochastic differential algebraic equations of index 1, Stochastics An International Journal of Probability and Stochastic Processes, 86 (2014), 776802, SCI(E). 
18  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. 
19  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. 
20  Nguyen Dinh Cong, Nguyen Thi The, Lyapunov spectrum of nonautonomous linear stochastic differential algebraic equations of index1, Stochastics and Dynamics, 12 (2012), 1250002, SCI(E); Scopus. 
21  Nguyen Dinh Cong, N. T. T. Quynh, Lyapunov exponents and central exponents of linear Ito stochastic diferential equations, Acta Mathematica Vietnamica 36 (2011), 35  53, Scopus. 
22  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. 
23  Nguyen Dinh Cong, N. T. T. Quynh, Coincidence of Lyapunov exponents and central exponents of linear Ito stochastic differential equations with nondegenerate stochastic term, Discrete and Continuous Dynamical System, Supplement volume, 2011, 332342 , SCI(E); Scopus. 
24  Nguyen Dinh Cong, M. V. Bulatov, V. K. Gorbunov and Ju. V. Martynenko, Variational approaches to numerical solution of differential algebraic equations, Computational Technologies, 15 (2010), 3 13. (In Russian) 
25  Nguyen Dinh Cong, N. T. The, Stochastic differentialalgebraic equations of index 1, Vietnam J. Math, 38 (2010), 117  131. 
26  Nguyen Dinh Cong, M. V. Bulatov and V. Ph. Chistyakov, On multiple solutions of differential algebraic equations. Transactions of the Middle Volga Mathematical Society 10(2008), 20 – 36. (In Russian) 
27  Nguyen Dinh Cong, R. Fabbri, On the spectrum of the onedimensional Schrửdinger operator, Discrete Contin. Dyn. Syst. Ser. B 9 (2008), N0 34, 541  554. 
28  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. 
29  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. 
30  Nguyen Dinh Cong, A generic bounded linear cocycle has simple Lyapunov spectrum, Ergodic Theory Dynam. Systems 25 (2005), 1775  1797. 
31  Nguyen Dinh Cong, Almost all nonautonomous linear stochastic differential equations are regular, Stoch. Dyn. 4 (2004), N03, 351  371. 
32  Nguyen Dinh Cong, Hoang Nam, Lyapunov regularity of linear differential algebraic equations of index 1, Acta Math. Vietnam. 29 (2004), 1  21. 
33  Nguyen Dinh Cong, Hoang Nam, Lyapunov's inequality for linear differential algebraic equation, Acta Math. Vietnam. 28 (2003), 73  88. 
34  Nguyen Dinh Cong, Theory of dynamical systems (in Vietnamese) – Lý thuyết hệ động lực. NXB Đại học Quốc gia Hà Nội, 2002, 229 trang. 
35  Nguyen Dinh Cong, S. Siegmund, Dichotomy spectrum of nonautonomous linear stochastic differential equations, Stoch. Dyn. 2 (2002), 175  201. 
36  Nguyen Dinh Cong, Lyapunov spectrum of nonautonomous linear stochastic differential equations, Stoch. Dyn. 1 (2001), 127  157. 
37  Nguyen Dinh Cong, A remark on nonuniform property of linear cocycles. Vietnam J. Math. 28 (2000), 81  85. 
38  L. Arnold, Nguyen Dinh Cong, V. I. Oseledets, The essential range of a nonabelian cocycle is not a cohomology invariant. Israel J. Math. 116 (2000), 71  76. 
39  L. Arnold, Nguyen Dinh Cong, Linear cocycles with simple Lyapunov spectrum are dense in L^{\infty}. Ergodic Theory Dynam. Systems 19 (1999), 1389  1404. 
40  L. Arnold, Nguyen Dinh Cong, V. I. Oseledets, Jordan normal form for linear cocycles. Random Oper. Stochastic Equations 7 (1999), 303  358. 
41  Nguyen Dinh Cong, Lower estimation for the Lyapunov exponents of linear systems of differential equations under small random perturbation. Vietnam J. Math. 25 (1997), 253  267. 
42  L. Arnold, Nguyen Dinh Cong, On the simplicity of the Lyapunov spectrum of product of random matricies. Ergodic Theory Dynam. Systems 17 (1997), 1005  1025. 
43  Nguyen Dinh Cong, V. I. Oseledets , Topological invariants of linear cocycles of an ergodic map. In: Proceedings of the Steklov Institute of Mathematics 216 (1997), 243  256. 
44  Nguyen Dinh Cong, Structural stability and topological classification of continuoustime linear hyperbolic cocycles. Random Comput. Dynam. 5 (1997), 19  63. 
45  Nguyen Dinh Cong, Topological dynamics of random dynamical systems. Oxford Mathematical Monographs. Clarendon Press, Oxford, 1997. 
46  Nguyen Dinh Cong, Topological classification of linear hyperbolic cocycles. J. Dynam. Differential Equations 8 (1996), 427  467. 
47  Nguyen Dinh Cong, Structural stability of linear random dynamical systems. Ergodic Theory Dynam. Systems 16 (1996), 1207  1220. 
48  Nguyen Dinh Cong, L. Arnold, Generic properties of Lyapunov exponents. Random Comput. Dynam. 2 (1994), 335  345. 
49  Nguyen Dinh Cong, A property of systems of differential equations perturbed by white noises and its applications to the stochastic continuity of Lyapunov exponents. Stochastic Anal. Appl. 11 (1993), 423  439. 
50  Nguyen Dinh Cong, Lyapunov exponents and central exponents of systems with weakly varying coefficients under small random perturbations. Differ. Uravn. 27 (1991), 1712  1720; English transl. in Differential Equations 27 (1991), 1208  1213. 
51  Nguyen Dinh Cong, On Lyapunov exponents and central exponents of linear systems of differential equations with almost periodic coefficients under random perturbations. Acta Math. Vietnam. 15 (1990), 69  73. 
52  Nguyen Dinh Cong, On central exponents of linear systems with coefficients perturbed by a white noise. Differ. Uravn. 26 (1990), No3, 420  427; English transl.: Differential Equations 26 (1990), 307  313. 
53  Nguyen Dinh Cong, Stochastic stability test for the highest Lyapunov exponent. Mat. Zametki 43 (1988), 82  97; English transl.: Math. Notes 43 (1988), 49  57. 
54  Nguyen Dinh Cong, On the stochastic stability of the Lyapunov exponents of equations of arbitrary order. Mat. Sb. 132 (174)(1987), 225  243; English transl.: Math. USSR Sb. 60 (1988), 217  235. 
55  Nguyen Dinh Cong, Stochastic stability of the Lyapunov exponents of systems with integral separateness. Mat. Zametki 40 (1986), No3, 393  400; English transl.: Math. Notes 40 (1986), No3, 731  735. 
56  Nguyen Dinh Cong, Lyapunov characteristic exponents of a regular system with a nonlinear perturbation and a random inhomogeneity. Differ. Uravn. 21 (1985), 962974; English transl.: Differential Equations 21 (1985), 644  654. 
57  Nguyen Dinh Cong, On the Lyapunov exponents of solutions of linear differential systems with a random inhomogeneity. Differ. Uravn. 20 (1984), 887  889 (in Russian). 
1  IMH20241003, Luu Hoang Duc, Phan Thanh Hong, Nguyen Dinh Cong, Stability criteria for rough systems 
2  IMH20230603, Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong, Numerical Attractors via Discrete Rough Paths, to appear in Journal of Dynamics and Differential Equations (2023). 
3  IMH20210703, Nguyen Dinh Cong, Semigroup property of fractional differential operators and its applications. 
Highlights
08/11/24, Conference: School and Workshop “Selected topics in Arithmetic Algebraic Geometry” 
29/11/24, Conference: ICTP and Vietnamese Science: Celebrating 60 Years of Collaborations 
02/12/24, Conference: International workshop on “Commutative Algebra and related Combinatoric structures” 