个人简介

黄煜，男，中共党员，中山大学理学院，教授，博士生导师，曾获广东省自然科学二等奖获（排名第二）。曾访问美国西北大学，美国杨伯明翰大学，美国德克萨斯农工大学，加拿大西安大略大学，美国德克萨斯农工大学卡塔尔分校，中国台湾中央研究院，香港中文大学和香港城市大学等院校。国际SCI类数学刊物JMAA杂志编委（2006-）。

研究领域

动力系统；控制系统， 

教育背景

1979.9-1983.7，中山大学数学系，本科/学士，数学

1983.9-1986.7，中山大学数学系，硕士研究生/硕士，基础数学

1991.1-1995.1，香港中文大学数学系，博士研究生/博士，基础数学 

工作经历

1986.7-1988.7，中山大学/数学系，助教

1988.7-1997.1，中山大学/数学学院，讲师

1995.1-1997.1，中山大学博士后流动站，博士后

1997.1-2006.6，中山大学/数学学院，副教授

2006.6-2023.1，中山大学/数学学院，教授

2023.1-至今，中山大学/理学院，教授

联系方式：stshyu@mail.sysu.edu.cn

主持课题

1.国家自然科学基金面上项目, 项目号: 12171492, 网络控制系统的熵, 2022.01 - 2025.12, 在研, 主持 

2. 国家自然科学基金面上项目, 项目号: 11771459, 控制系统不变熵及其相关问题的研究, 2018.01 - 2021.12, 结题, 主持 

3. 国家自然科学基金面上项目, 项目号: 11371380，可由有限维系统诱导的无穷维系统的混沌性质及控制， 2014.01 - 2017.12, 结题, 主持

4. 国家自然科学基金面上项目, 项目号: 11071263, 切换系统稳定性研究的遍历理论方法, 2011.01 - 2013.12, 结题, 主持

5. 国家自然科学基金面上项目, 项目号: 10771222, 动力系统复杂性研究的新方法, 2008.01 - 2010.12, 结题, 主持

论文成果(2006-)

1. On pointwise vibration and entropy of interval maps, ACTA Math. Sinica (in Chinese), 49(2006), No.2 (with Jun Luo and Zuoling Zhou).

2. On a nonlocal problem for nonlinear pseudoparabolic equations, Nonlinear Analysis, 64 (2006), no. 3, 499{512. (with Daoqing Dai).

3. Rapid fluctuations of chaotic maps on RN, J. Math. Anal. Appl., Volume 323, No. 1, November 2006, Pages 228-252, (with Goong Chen and Daowei Ma).

4. Infinite-dimensional dynamical systems induced by interval maps, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 13 (2006), no. 3-4, 509{524. (with Zhaosheng Feng).

5. On a mixed problem with integral conditions for one-dimensional parabolic equation, Applicable Analysis, 9(2006), 1113 - 1121, (with Daoqing Dai)

6. Hopf bifurcation in a discrete metapopulation model with delay and dispersion, Acta Math. Applicatae Sinica (in Chinese) 29(2006), 747-754.(with L. Zeng and Y. Zhao). 

7. Nonlocal boundary problems for a third-order one-dimensional nonlinear pseudoparabolic equation, Nonlinear Analysis, 66 (2007), 179-191. (with Daoqing Dai).

8. A moment problem for one-dimensional nonlinear pseudoparabolic equation, Journal of Mathematical Analysis and Applications, V. 328(2007), 1057-1067.(with Daoqing Dai)

9. Impact of dispersion on dynamics of a discrete metapopulation model, Open Syst. Inf. Dyn. 14 (2007), no. 4, 379{396(with Xingfu Zou).

10. Remarks on a semilinear heat equation with integral boundary conditions, Nonlinear Anal. 67 (2007), no. 2, 468{475. (with Daoqing Dai).

11. Approximate solution of the Burgers-Korteweg-DeVries Equation, Commun. Pure Appl. Anal. 6 (2007), no. 2, 429{440.(with Zhaosheng Feng).

12. Stability of Cohen-Grossberg neural networks with time-varying delays, Neural Networks, Vol. 20, 868-873 #, 2007 (with Tingwen Huang, Andrew Chan, Jinde Cao).

13. Almost sure stability of discrete-time switched linear systems: A topological point of view, SIAM J. Control Optim., Vol. 47, No. 4, (2008) 2137-2156 (with Xiongping Dai, Mingqing Xiao).

14. Dynamics in numerics: on a discrete predator-prey model, Differential Equations and Dynamical Systems, Vol. 16 No. 1& 2,(2008) (with Xiamei Jiang and Xingfu Zou).

15. Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays, Neurocomputing, 71(2008), 3064-3069, (with Tingwen Huang and Chuandong Li).

16. Period-doubling bifurcation of a discrete metapopulation model with a delay in the dispersion terms. Appl. Math. Lett. 21 (2008), no. 1, 47{55.(with Li Zeng and Yi Zhao).

17. Controllability and observability of the switched systems in Banach space. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 16 (2009), no. 1, 89C106, (with Wei Sun, Li Zeng and Yi Zhao).

18. The cost of approximate controllability for semilinear heat equations. J. Control Theory Appl. 7 (2009), no. 1, 73C76. (with Yuqing Yan and Yi Zhao).

19. Rapid fluctuation for topological dynamical systems. Front. Math. China 4 (2009), no. 3, 483C494.(with Yi Zhou).

20. Criteria of stability for continuous-time switched systems by using Liao-type exponents. SIAM J. Control Optim. 48 (2009/10), no. 5, 3271C3296.(with Xiongping Dai and Mingqing Xiao).

21. Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions. J. Math. Anal. Appl. 361 (2010), no. 1, 69C85,(with Liangliang Li).

22. Nonisotropic spatiotemporal chaotic vibrations of the one-dimensional wave equation with a mixing transport term and general nonlinear boundary condition. J. Math. Phys. 51 (2010), no. 10, 102703, 22 pp, (with Y.L.Chen and L.L.Li).

23. The set of stable switching sequences for discrete-time linear switched systems. J. Math. Anal. Appl. 377 (2011), no. 2, 732C743.(with Tingwen Huang, Jun Luo and Mingqing Xiao).

24. The persistence of snap-back repeller under small C1C1 perturbations in Banach spaces. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 21 (2011), no. 3, 703C710,(with Y.L.Chen and L.L.Li).

25. Realization of joint spectral radius via ergodic theory. Electron. Res. Announc. Math. Sci. 18 (2011), 22C30. (with Xiongping Dai and Mingqing Xiao).

26. The spectrum of chaotic time series (I): Fourier analysis. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 21 (2011), no. 5, 1439C1456, ( with Goong Chen; Sze-Bi Hsu and Marco A. Roque-Sol).

27. The spectrum of chaotic time series (II): wavelet analysis. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 21 (2011), no. 5, 1457C1467. ( with Goong Chen; Sze-Bi Hsu and Marco A. Roque-Sol).

28. Periodically switched stability induces exponential stability of discrete-time linear switched systems in the sense of Markovian probabilities, Automatica, 47(2011), 1512-1519. (with Xiongping Dai and Mingqing Xiao).

29. Two new recurrent levels for C0-flows, Acta Appl. Math., 118(2012), 125-145. (with Zuoling Zhou).

30. The finite-step realizability of the joint spectral radius of a pair of d d matrices one of which being rank-one, Linear Algebra and its Applications 437 (2012) 1548C1561.(with Xiongping Dai and Mingqing Xiao).

31. Observer design for wave equations with van der Pol type boundary conditions,SIAM J. CONTROL OPTIM. Vol.50 (2012), No. 3, pp. 1200C1219, (with Liangliang Li and Mingqing Xiao). 

32. Li Yorke Chaos System Without a Proper Subsystem Being Li Yorke Chaos, ACTA MATHEMATICA SINICA, Chinese Series, Vol.55 (2012), No.4, 749-756, (with Xiaoyi Wang).

33. Extremal ergodic measures and the finiteness property of matrix semigroups, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 141, Number 2, February 2013, Pages 393C401 (with Xiongping Dai and Mingqing Xiao).  

34. Devaney chaos revisited, Topology and its Applications 160 (2013) 455C460, (with Xiaoyi Wang).

35. Asymptotic stability of time-varying switched systems under perturbations, J. Math. Anal. Appl. 408 (2013) 268C274, (with Xiongping Dai and Mingqing Xiao).

36. Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons, Sci China Math, 2013, 56: 1869C1878, (with Yuanlong Chen and Xingfu Zou).

37. Proper quasi-weakly almost periodic points and quasi-regular points (in Chinese). Sci Sin Math, 2013, 43: 1XX, doi: 10.1360/012011-XXX, (with Xiaoyi Wang).

38. Chaotic oscillations of solutions of first order hyperbolic systems in 1D with nonlinear boundary conditions. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 24 (2014), no. 5 (with Xiongping Dai, Tingwen Huang and Goong Chen). 

39. Complex dynamics of a delayed discrete neural network of two nonidentical neurons. Chaos 24 (2014), no. 1, (with Yuanlong Chen, Tingwen Huang). 

40. Approximately nearly controllability of discrete-time bilinear control systems with control input characteristic. J. Franklin Inst. 352 (2015), no. 4, 1561C1579 (with Lin Liu and Mingqing Xiao).

41. Pointwise stability of descrete-time stationary matrix-valued Markovian processes. IEEE Trans. Automat. Control 60 (2015), no. 7, 1898C1903(with Xiongping Dai and Mingqing Xiao).

42. Chaotic oscillations of second order linear hyperbolic equations with nonlinear boundary conditions: a factorizable but noncommutative case. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 25 (2015), no. 11 (with Tingwen Huang, Liangliang Li and Goong Chen).

43. Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions, Numer. Methods Partial Differential Equations 32 (2016), no. 2, 373C398 (with Jun Liu, Haiwei Sun and Mingqing Xiao).

44. The Auslander-Yorke dichotomy theorem for inseparable systems (In Chinese), Sci Sin Math, 2016, 46(11): 1715-1726 (with Zhijing Chen).

45. Exponential stability of matrix-valued Markov chains via non-ignorable periodic data, Trans. Amer. Math. Soc. 369 (2017), no. 8, 5271C5292(with Xiongping Dai, Tingwen Huang).

46. Functional envelopes relative to the point-open topology on a subset. Discrete Contin. Dyn. Syst. 37 (2017), no. 3, 1227C1246(with Zhijing Chen)

47. Chaotic behavior of discrete-time linear inclusion dynamical systems. J. Franklin Inst. 354 (2017), no. 10, 4126C4155(with Xiongping Dai, Tingwen Huang, Yi Luo, Gang Wang and Xiao, Mingqing).

48. Chaotic behaviors of one dimensional wave equations with van der Pol nonlinear boundary conditions, Journal of Mathematical Physics 59, 022704 (2018) (with Zhijing Chen, Tingwen Huang and Xin Liu).

49. Caratheodory-Pesin structures associated with control systems, Systems and Control Letters 112 (2018) 36C41 (with Xingfu Zhong).

50. On Li-Yorke and distributionally chaotic direct sum operators, Topology and its Applications 239 (2018) 35C45 (with Zongbin Yin and Shengnan He).

51. Remarks on multiples of distributionally chaotic operators, STUDIA MATHEMATICA 243 (1) (2018) (with Zongbin Yin)

52.  Topological entropy of switched systems, J. Korean Math. Soc. 55 (2018), No. 5, pp. 1157-1175 (with Xingfu Zhong).

53. Weak mixing in switched systems, SCIENCE CHINA Mathematics, https://doi.org/10.1007/s 017-9243-5, (2018) (with Xingfu Zhong)

54. Invariance Pressure Dimensions for Control Systems, Journal of Dynamics and Differential Equations, https://doi.org/10.1007/s10884-018-9701-z, (2018) (with Xingfu Zhong)

55. Measure-theoretic invariant entropy for control systems, SIAM J. CONTROL OPTIM., Vol. 57 (2019), No. 1, pp. 310{333, (with Tao Wang and Hai-Wei Sun)

56. Chaotic Behaviors of One-Dimensional Wave Equations with van der Pol Boundary Conditions Containing a Source Term, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 30 (2020), no. 15 (with Zhijing Chen, Hai-Wei Sun and Tongyang Zhou).

57. Recurrence and minimal center of attraction with respect to Folner sequence, Topology and its Applications, 275(2020) (with Zhijing Chen and Xin Liu).

58. Equi-invariability, bounded invariance complexity and L-stability for control systems, Sci China Math, 2021, 64: 2275-2294(with Zhijing Chen and Xingfu Zhong).

59. Inverse variational principles for control systems, Nonlinearity 35 (2022) 1610-1633 (with Tao Wang).

60. Measure-theoretic invariance entropy and variational principles for control systems, J. of Differential Equations, 321(2022) 318-348 (with Xiaoxiao Nie and Tao Wang).

61. Restricted sensitivity, return time and entropy in Feldman–Katok and mean metrics， Dynamical Systems, 2022, DOI: 10.1080/14689367.2022.2054311(with Xiaoxiao Nie)

62. BS Invariance Pressures for Control Systems, Journal of Dynamical and Control Systems, 2023, https://doi.org/10.1007/s10883-023-09643-3(with Hai-wei Sun and Xingfu Zhong)

出版专著

1. 非线性分布参数控制系统理论，广东科技出版社, 1990, 478页 (with Yi Zhao) 由首届广东优秀科技专著出版基金会资助出版.

2. Chaotic Maps, Dynamics, Fractals, and Rapid Fluctuations, Synthesis Lectures On Mathematics And Statistics 11, (Steven G. Krantz ed.) Morgan & Claypool Publishers, 2011. pp.243, (with Goong Chen).