Nguyen Dinh Cong
Full Professor, Doctor of Science

Department of Probability and Mathematical Statistics
Research interests: Dynamical Systems, ODEs, Stochastic Differential Equations


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


List of recent publications
1Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong, Numerical Attractors via Discrete Rough Paths, Journal of Dynamics and Differential Equations, Volume 37, pages 727–748, (2025), (SCI-E, Scopus).
2Nguyen Dinh Cong, Semigroup property of fractional differential operators and its applications, Discrete and Continuous Dynamical Systems - Series B, 28(2023), 1531-3492, (SCI-E, Scopus).
3Nguyen 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, (SCI-E, Scopus).
4Nguyen 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, SCI-E; Scopus.
5Nguyen 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.
6Luu 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.
7Nguyen 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
8Nguyen 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.
9Nguyen Dinh Cong, Hoang The Tuan, Generation of nonlocal fractional dynamical systems by fractional differential equations. Journal of Integral Equations and Applications, 29 (2017), 1-24, SCI(-E); Scopus.
10Nguyen 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.
11Nguyen 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, SCI(-E); Scopus.
12Nguyen 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.
13Nguyen 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, SCI(-E); Scopus.
14Nguyen 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, SCI(-E); Scopus.
15Nguyen 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, SCI(-E); Scopus.
16Nguyen 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, SCI(-E), Scopus.
17Nguyen 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, SCI(-E), Scopus.
18Nguyen 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), 776-802, SCI(-E).
19Nguyen 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, SCI(-E); Scopus.
20Nguyen 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, SCI(-E); Scopus.
21Nguyen Dinh Cong, Nguyen Thi The, Lyapunov spectrum of nonautonomous linear stochastic differential algebraic equations of index-1,  Stochastics and Dynamics, 12 (2012), 1250002, SCI(-E); Scopus.
22Nguyen 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.
23Nguyen 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, SCI(-E); Scopus.
24Nguyen 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, 332-342 , SCI(-E); Scopus.
25Nguyen 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)
26Nguyen Dinh Cong, N. T. The, Stochastic differential-algebraic equations of index 1,  Vietnam J. Math, 38 (2010), 117 - 131.
27Nguyen 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)
28Nguyen Dinh Cong, R. Fabbri, On the spectrum of the one-dimensional Schrửdinger operator, Discrete Contin. Dyn. Syst. Ser. B 9 (2008),  N0 3-4, 541 - 554.
29Nguyen Dinh Cong, Doan Thai Son, S. Siegmund, A computational ergodic theorem for infinite iterated function systems, Stoch. Dyn. 8 (2008),  N0 3, 365 - 381.
30Nguyen 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.
31Nguyen Dinh Cong, A generic bounded linear cocycle has simple Lyapunov spectrum, Ergodic Theory Dynam. Systems 25 (2005), 1775 - 1797.
32Nguyen Dinh Cong, Almost all nonautonomous linear stochastic differential equations are regular, Stoch. Dyn. 4 (2004), N03, 351 - 371.
33Nguyen Dinh Cong, Hoang Nam, Lyapunov regularity of linear differential algebraic equations of index 1, Acta Math. Vietnam. 29 (2004), 1 - 21.
34Nguyen Dinh Cong, Hoang Nam, Lyapunov's inequality for linear differential algebraic equation, Acta Math. Vietnam. 28 (2003), 73 - 88.
35Nguyen Dinh Cong, Theory of dynamical systems (in Vietnamese) – Lý thuyết hệ động lực. NXB Đại học Quốc gia Hà Nội, 2002, 229 trang.
36Nguyen Dinh Cong, S. Siegmund, Dichotomy spectrum of nonautonomous linear stochastic differential equations, Stoch. Dyn. 2 (2002), 175 - 201.
37Nguyen Dinh Cong, Lyapunov spectrum of nonautonomous linear stochastic differential equations, Stoch. Dyn. 1 (2001), 127 - 157.
38Nguyen Dinh Cong, A remark on non-uniform property of linear cocycles. Vietnam J. Math. 28 (2000),  81 - 85.
39L. 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.
40L. Arnold, Nguyen Dinh Cong, Linear cocycles with simple Lyapunov spectrum are dense in L^{\infty}. Ergodic Theory Dynam. Systems 19 (1999), 1389 - 1404.
41L. Arnold, Nguyen Dinh Cong, V. I. Oseledets, Jordan normal form for linear cocycles. Random Oper. Stochastic Equations 7 (1999), 303 - 358.
42Nguyen 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.
43L. Arnold, Nguyen Dinh Cong, On the simplicity of the Lyapunov spectrum of product of random matricies. Ergodic Theory Dynam. Systems 17 (1997), 1005 - 1025.
44Nguyen 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.
45Nguyen Dinh Cong, Structural stability and topological classification of continuous-time linear hyperbolic cocycles. Random Comput. Dynam. 5 (1997), 19 - 63.
46Nguyen Dinh Cong, Topological dynamics of random dynamical systems. Oxford Mathematical Monographs. Clarendon Press, Oxford, 1997.
47Nguyen Dinh Cong, Topological classification of linear hyperbolic cocycles. J. Dynam. Differential Equations 8 (1996), 427 - 467.
48Nguyen Dinh Cong, Structural stability of linear random dynamical systems. Ergodic Theory Dynam. Systems 16 (1996), 1207 - 1220.
49Nguyen Dinh Cong, L. Arnold, Generic properties of Lyapunov exponents. Random Comput. Dynam. 2 (1994), 335 - 345.
50Nguyen 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.
51Nguyen 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.
52Nguyen 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.
53Nguyen 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.
54Nguyen Dinh Cong, Stochastic stability test for the highest Lyapunov exponent. Mat. Zametki 43 (1988), 82 - 97; English transl.: Math. Notes 43 (1988), 49 - 57.
55Nguyen 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.
56Nguyen 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.
57Nguyen Dinh Cong, Lyapunov characteristic exponents of a regular system with a nonlinear perturbation and a random inhomogeneity. Differ. Uravn. 21 (1985), 962-974; English transl.: Differential Equations 21 (1985), 644 - 654.
58Nguyen Dinh Cong, On the Lyapunov exponents of solutions of linear differential systems with a random inhomogeneity. Differ. Uravn. 20 (1984), 887 - 889 (in Russian).
Preprints
1IMH20241003, Luu Hoang Duc, Phan Thanh Hong, Nguyen Dinh Cong, Stability criteria for rough systems