NGuyen Dinh Cong

NGuyen Dinh Cong

Professor. Dr. Sc.

Department of Discrete Mathematics, Probabilily Theory and Statistics

Research Interest: Dynamical Systems, ODEs, Stochastic Differential Equations

Contact

Office: Room 515, Building A6
Phone: +84 024 38361121/15
Email: ndcong AT math.ac.vn

Scientific CV

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

Scientific Publications

Publications

  1. 1. Luu Hoang Duc, Phan Thanh Hong, NGuyen Dinh Cong, Stability Criteria for Rough Systems, SIAM Journal on Control and OptimizationVol. 64, Iss. 2 (2026) (2026)
  2. 2. NGuyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong, umerical Attractors via Discrete Rough Paths, Journal of Dynamics and Differential Equations, Volume 37, pages 727–748, (2025) (2025)
  3. 3. NGuyen Dinh Cong, Semigroup property of fractional differential operators and its applications, Discrete and Continuous Dynamical Systems - Series B, 28 (2023), 1531-3492 (2023)
  4. 4. 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 (2022)
  5. 5. NGuyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong, Lyapunov spectrum of nonautonomous linear Young differential equations, Journal of Dynamics and Differential Equations, 32 (2020), 1749 - 1777 (2020)
  6. 6. NGuyen Dinh Cong, Hoang The Tuan, Hieu Trinh, On asymptotic properties of solutions to fractional differential equations, Journal of Mathematical Analysis and Applications 484(2020) 123759 (2020)
  7. 7. 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) (2019)
  8. 8. 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 (2018)
  9. 9. 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 (2018)
  10. 10. NGuyen 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 (2017)
  11. 11. 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) (2017)
  12. 12. 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 (2017)
  13. 13. 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 (2017)
  14. 14. NGuyen Dinh Cong, Doan Thai Son, Stefan Siegmund, Hoang The Tuan, On stable manifolds for fractional differential equations in high-dimensional spaces, Nonlinear Dynamics, 86 (2016), 1885–1894 (2016)
  15. 15. 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 (2016)
  16. 16. NGuyen Dinh Cong, Doan Thai Son, Hoang The Tuan, Stefan Siegmund, Linearized asymptotic stability for fractional differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 39 (2016), 1-13 (2016)
  17. 17. 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 (2015)
  18. 18. 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 (2014)
  19. 19. 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), 776-802 (2014)
  20. 20. 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 (2014)
  21. 21. 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 (2014)
  22. 22. NGuyen Dinh Cong, Nguyen Thi The, Lyapunov spectrum of nonautonomous linear stochastic differential algebraic equations of index-1, Stochastics and Dynamics, 12 (2012), 1250002 (2012)
  23. 23. NGuyen Dinh Cong, Nguyen Thi Thuy Quynh, Lyapunov exponents and central exponents of linear Ito stochastic diferential equations, Acta Mathematica Vietnamica 36 (2011), 35 -- 53 (2011)
  24. 24. NGuyen Dinh Cong, Doan Thai Son, Stefan Siegmund, A Bohl-Perron type theorem for random dynamical systems, Discrete and Continuous Dynamical Systems, Supplement volume 2011, 322 - 331 (2011)
  25. 25. NGuyen Dinh Cong, Nguyen Thi Thuy 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 (2011)
  26. 26. M. V. Bulatov, V. K. Gorbunov, Ju. V. Martynenko, NGuyen Dinh Cong, Variational approaches to numerical solution of differential algebraic equations (In Russian), Computational Technologies, 15 (2010), 3 -13. (2010)
  27. 27. NGuyen Dinh Cong, Nguyen Thi The, Stochastic differential-algebraic equations of index 1,, Vietnam Journal of Mathematics, 38 (2010), 117 - 131. (2010)
  28. 28. NGuyen Dinh Cong, M. V. Bulatov, Viktor Filimonovich Chistyakov, On multiple solutions of differential algebraic equations., Transactions of the Middle Volga Mathematical Society 10(2008), 20 – 36. (In Russian) (2008)
  29. 29. NGuyen Dinh Cong, Roberta Fabbri, On the spectrum of the one-dimensional Schrodinger operator, Discrete and Continuous Dynamical Systems - Series B, 9 (2008), N0 3-4, 541 - 554 (2008)
  30. 30. NGuyen Dinh Cong, Doan Thai Son, Stefan Siegmund, A computational ergodic theorem for infinite iterated function systems, Stochastics and Dynamics, 8 (2008), N0 3, 365 - 381 (2008)
  31. 31. NGuyen Dinh Cong, Doan Thai Son, An open set of unbounded cocycles with simple Lyapunov spectrum and no exponential separation, Stochastics and Dynamics, 7 (2007), 335 - 355 (2007)
  32. 32. NGuyen Dinh Cong, A generic bounded linear cocycle has simple Lyapunov spectrum, Ergodic Theory Dynam. Systems 25 (2005), 1775 - 1797 (2005)
  33. 33. NGuyen Dinh Cong, Almost all nonautonomous linear stochastic differential equations are regular, Stochastics and Dynamics, 4 (2004), N03, 351 - 371. (2004)
  34. 34. NGuyen Dinh Cong, Hoang Nam, Lyapunov regularity of linear differential algebraic equations of index 1, Acta Mathematica Vietnamica, 29 (2004), 1 - 21. (2004)
  35. 35. NGuyen Dinh Cong, Hoang Nam, Lyapunov's inequality for linear differential algebraic equation, Acta Mathematica Vietnamica, 28 (2003), 73 - 88 (2003)
  36. 36. NGuyen Dinh Cong, Theory of dynamical systems (in Vietnamese), Theory of Dynamical Systems. Vietnam National University Press Hanoi, 2002, 229 pages. (2002)
  37. 37. NGuyen Dinh Cong, Stefan Siegmund, Dichotomy spectrum of nonautonomous linear stochastic differential equations, Stochastics and Dynamics, 2 (2002), 175 - 201. (2002)
  38. 38. NGuyen Dinh Cong, Lyapunov spectrum of nonautonomous linear stochastic differential equations, Stochastics and Dynamics, 1 (2001), 127 - 157. (2001)
  39. 39. NGuyen Dinh Cong, A remark on non-uniform property of linear cocycles., Vietnam Journal of Mathematics, 28 (2000), 81 - 85. (2000)
  40. 40. L. Arnold, NGuyen Dinh Cong, V. I. Oseledets, The essential range of a nonabelian cocycle is not a cohomology invariant, Israel Journal of Mathematics, 116 (2000), 71 - 76. (2000)
  41. 41. L. Arnold, NGuyen Dinh Cong, Linear cocycles with simple Lyapunov spectrum are dense in $L^{\infty}$, Ergodic Theory and Dynamical Systems, 19 (1999), 1389 - 1404. (1999)
  42. 42. L. Arnold, NGuyen Dinh Cong, V. I. Oseledets, ordan normal form for linear cocycles., Random Oper. Stochastic Equations 7 (1999), 303 - 358. (1999)
  43. 43. 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 (1997)
  44. 44. L. Arnold, NGuyen Dinh Cong, On the simplicity of the Lyapunov spectrum of product of random matricies, Ergodic Theory and Dynamical Systems, 17 (1997), 1005 - 1025. (1997)
  45. 45. 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. (1997)
  46. 46. NGuyen Dinh Cong, Structural stability and topological classification of continuous-time linear hyperbolic cocycles, Random Comput. Dynam. 5 (1997), 19 - 63. (1997)
  47. 47. NGuyen Dinh Cong, Topological dynamics of random dynamical systems, Oxford Mathematical Monographs. Clarendon Press, Oxford, 1997. (1997)
  48. 48. NGuyen Dinh Cong, Structural stability of linear random dynamical systems, Ergodic Theory Dynam. Systems 16 (1996), 1207 - 1220. (1996)
  49. 49. NGuyen Dinh Cong, Topological classification of linear hyperbolic cocycles, Journal of Dynamics and Differential Equations, 8 (1996), 427 - 467. (1996)
  50. 50. NGuyen Dinh Cong, L. Arnold, Generic properties of Lyapunov exponents, Random and Computational Dynamics, 2 (1994), 335 - 345 (1994)
  51. 51. 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 Analysis and Applications, 11 (1993), N$^o$ 4, 423 - 439. (1993)
  52. 52. NGuyen Dinh Cong, Lyapunov exponents and central exponents of systems with weakly varying coefficients under small random perturbations English transl, Differential Equations, 27 (1991), N$^o$ 10, 1208 - 1213. (1991)
  53. 53. NGuyen Dinh Cong, On central exponents of linear systems with coefficients perturbed by a white noise. English transl., Differential Equations, 26 (1990), N$^o$ 3, 307 - 313. (1990)
  54. 54. NGuyen Dinh Cong, On Lyapunov exponents and central exponents of linear systems of differential equations with almost periodic coefficients under random perturbations, Acta Mathematica Vietnamica, 15 (1990), N$^o$ 1, 69 - 73. (1990)
  55. 55. NGuyen Dinh Cong, On the stochastic stability of the Lyapunov exponents of equations of arbitrary order. English transl, Mathematics of the USSR-Sbornik, 60 (1988), N$^o$ 1, 217 - 235. (1988)
  56. 56. NGuyen Dinh Cong, Stochastic stability test for the highest Lyapunov exponent. English transl, Mathematical Notes, 43 (1988), N$^o$ 1, 49 - 57. (1988)
  57. 57. NGuyen Dinh Cong, Stochastic stability of the Lyapunov exponents of systems with integral separateness, English trans, Mathematical Notes, 40 (1986), N$^o$ 3, 731 - 735. (1986)
  58. 58. NGuyen Dinh Cong, Lyapunov characteristic exponents of a regular system with a nonlinear perturbation and a random inhomogeneity, English transl, Differential Equations, 21 (1985), N$^o$ 1, 644 - 654. (1985)
  59. 59. NGuyen Dinh Cong, On the Lyapunov exponents of solutions of linear differential systems with a random inhomogeneity, Differentsialnye Uravneniya, 20 (1984), N$^o$ 5, 887 - 889 (in Russian). (1984)

Preprints

  1. 1. Download, NGuyen Dinh Cong, Luu Hoang Duc, Pullback attractors for stochastic Young differential delay equations To appear in Journal of Dynamics and Differential Equations, arXiv:2005.09823. (2020)
  2. 2. Download, NGuyen Dinh Cong, Luu Hoang Duc, Lyapunov spectrum of nonautonomous linear Young differential equations, Journal of Dynamics and Differential Equations, (2019), SCI(-E); Scopus. (2019)
  3. 3. Luu Hoang Duc, NGuyen Dinh Cong, Phan Thanh Hong, Asymptotic stability for stochastic dissipative systems with a Hölder noise. (2018)
  4. 4. Download, NGuyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong, Nonautonomous Young Differential Equations Revisited (2017)