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复杂系统理论和应用

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   一、梯队简介

          本梯队名称为“复杂系统理论和应用”,主要研究方向有(1) 复杂网络的理论与应用,混沌密码学(2)复杂系统建模, 细胞神经网络(CNN) 的局部活动性理论及应用(3)CNN的鲁棒性设计; 图像处理。 

   二、梯队人员构成和研究方向

            本梯队由1名教授、3名副教授和3名讲师和组成。人员如下:

            闵乐泉     教授        硕士      研究方向 (1), (2), (3)

            藏鸿雁    副教授     博士     主要研究方向 (1)

            苏永美    副教授     博士     主要研究方向 (2)

            孟 艳       副教授     博士     主要研究方向 (2)

           李为东    讲师        博士      主要研究方向 (3)

           丁 军       讲师        硕士      主要研究方向 (1)

           王丹铃    讲师       博士后   主要研究方向 (1)

 

 三、代表性论著

[1] L. Min and G. Chen, “Generalized synchronization in an array of  nonlinear dynamic systems with applications to chaotic CNN,” Int. J. Bifurcat. Chaos, vol. 23, no. 1, pp. 1350016–1 to 1350016–53, 2013.

      [2] L. Min and G. Chen, “A novel stream encryption scheme with avalanche  effect,” European Physics J. B, vol. 86, no. 11, pp. 459–1--59– 13, 2013.

[3] L. Min, T. Chen, and H. Zang, “Analysis of fips 140-2 test and  chaos-based pseudorandom number generator,” Chaotic Modeling and Simulation, no. 2, pp. 273–280, 2013.

[4] L. Min, L. Hao, and L. Zhang, “Statistical test for string  pseudorandom number generators,” Lecture Notes Artificial Intelligence (D. Liu et al. Eds), vol. 7888, pp. 278–287, 2013. 

[5] L. Hao and L. Min, “Statistical tests and chaotic synchronization  based pseudorandom number generator for string bit sequences with application to image encryption,” Eur. Phys. J. Special Topics, vol.  May 13, 2014 online, no. DOI: 10.1140/epjst/e2014-02182-2, 2014.

[6] Y. Ji, T. Liu, and L. Min, “Generalized chaos synchronization theorems for bidirectional differential equation and discrete systems with applications,” Phys. Lett. A., vol. 372, pp. 3645–365, 2008.

[7] L. Cao, Y. Ji, and L. Min, “A generalized chaos synchronization based digital signature scheme with application,” in Proc. of The 2008 World Congress in Computer Science, Computer Engineering, and Applied Computing. LasVegas, USA: CSREA Press, Jul 14-17 2008, pp. 232–237.

[8] J. Jing and L. Min, “Generalized synchronization of time delayed differential systems,” Chinese Physics Letters, vol. 26, no. 2, pp. 028 702–1–4, 2009.

[9] H. Zang and L. Min, “An image encryption scheme based on generalized synchronization theorem for discrete array systems,” in Proc. of the 2008 Int. Conf. on Communications, Circuits and Systems, vol. II, 2008, pp. 991–995.

[10] Zang Hongyan, Min Lequan,Zhao Geng,Chen Guanrong, Generalized Chaos      Synchronization of Bidirectional Arrays of Discrete Systems,CHIN,PHYS. LETT.      2013,30(4),040502 (SCI).

[11] L. Min, Y. Su, and Y. Kuang, “Mathematical analysis of a basic virus infection model with application to HBV infection,” Rocky Mountain J. of Mathematics, vol. 38, no. 5, pp. 1573–1585, 2008.

[12] Y. Zheng, L. Min, Y. Ji, and et. al, “Global stability of endemic equilibrium point of basic virus infection  model with application to HBV infection,” J. Systems Science and Complexity, vol. 23, no. 6, pp. 1221–1230, 2010.

[13] 陈晓闵乐泉郑宇等, “HBV感染组合治疗动力学建模及模拟,” 计算机工程与应用,

Vol. 48, no. 24, pp. 20-27, 2012, Epidemiology  2014, 4:4.

[14] X. Chen, L. Min, and Y. Zheng et al, “Dynamics of acute hepatitis B virus infection in chimpanzees,” Mathematics and Computer Simulation, vol. 83, no. 1, pp. 157–170, 2014.

[15] L. Min, X. Chen, and Y. Zheng et al, “Modeling and simulating dynamics of complete and poor response chronic hepatitis B chinese patients for adefovir and traditional chinese medicine plus adefovir therapy,”The Int. J of Alternative Medicine, vol. 2013, pp. 767 290–1–767290–12, 2013.

[16] Y. Su, L. Zhao, and L. Min, “Analysis and simulation of an adfovir anti-hepatitis b virus infection therapy immune model with alanine aminotransferase,” IET Systems Biology, vol. 7, no. 5, pp. 205–213, 2013.

[17] Lequan Min, Xiao Chen, Yonan Ye et al., Modeling and Simulating  Dynamics of Complete- and Poor-Response Chronic Hepatitis B Chinese Patients for Adefovir and Traditional Chinese Medicine Plus Adefovir Therapy, Evidence-Based Complementary and Alternative Medicine, 2013 2013,  767290-1-767290-12. http://dx.doi.org/10.1155/2013/767290.

[18] Q. Sun and L. Min, “Dynamics analysis and simulation of a modified HIV infection model with a saturated  infection rate,” Computational and Mathematical Methods in Medicine, vol. 2014, no. Article ID 145162, pp. 1–14, 2014, , also see: http://dx.doi.org/10.1155/2014/145162.

[19] Y. Hu, L. Min, and Y. Kuang, “Modeling the dynamics of epidemic spreading on homogenous and heterogeneous networks,” Applicable AnalysisPublished online: 17 Dec 2014.http://dx.doi.org/10.1080/00036811.2014.983487.

[20] Qian Huang, Lequan Min, Xiao Chen, Susceptible-infected-recovered models with Nature Birth and Death On Complex Networks,  Mathematical Methods in the Applied Sciences, online 9  Dec. 27, 2013. 

[21] M. Zhang, L. Min, and X. Zhang, “Automatic robust designs of template parameters for a type of uncoupled cellular neural networks,” Advances in Intelligent Systems and           Computing (Z. Wen and T. Editor Eds.), vol. 277, pp. 577–590, 2014.

[22] L. Q. Min, “Robustness designs of a kind of uncoupled cnns with applications,” in Proceeding of the IEEE International  Workshop on Cellular Neural Networks and Their Applications. Hsinchu, Taiwan: IEEE, May 2005, pp. 98–101.

[23] W. Li and L. Min, “Robustness design for cnn templates with    performance of extracting closed domain,” Commun in Theor. Phys., vol. 45, no. 1, pp. 189–192., 2006.

[24] J. Liu and L. Min, “Robust designs for gray-scale global  connectivity detection cnn template,” Int. J. Bifurc. Chaos, vol.   17, no. 8, pp. 2827–2838., 2007.

[25] B. Zhao, W. Li, S. Jian, and L. Min, “Two theorems on the robust designs for pattern matching cnns,” in Lecture Notes Computer Science, vol. 4493, Nanjing, China, June 3-7 2007, pp. 1658–1662.

[26] S. Jian, B. Zhao, and L. Min, “Two theorems on the robust designs for dilation and erosion cnns,” in Proc. of Int. Conf. on Communications, Circuit and Systems, Fukuoka, Japan, 11 2007, pp. 877–881.

[27] J. Liu and L. Min, “Robust design of bipolar wave cellular neural network with applications,” International Journal of Modeling, Identification and Control, vol.11(1/2), pp. 99–106, 2010.

[28] Q. Zhang and L. Min, “Dynamic Analysis of Coupled Binary Stripe CNNS,” Proceeding of the 2011 IEEE International conference on Intelligent Computation and Bio-Medical Instrumentation, pp. 236–240, 2011.

[29] L. Min, K. Crounse, and L. O. Chua, “Analytical criteria for local activity and applications to the oregonator cnn,” Int J Bifur and Chaos, vol. 10, no. 1, pp. 25–71, 2000.

[30] ——, “Analytical criteria for local activity of reaction- diffusion cnn with four state variables and applications to the hodgkin-huxley equation,” Int J Bifur and Chaos, vol. 10, no. 6, pp. 1295–1343, 2000.

[31] L. Min, Y. Meng, and L. O. Chua, “Applications of local activity theory of cnn to controlled coupled oregonator  systems,” International  Journal of Bifurcation and Chaos, vol. 18,  no. 11, pp. 1–65, 2008.

[32] L. Min and N. Yu,“Some analytical criteria for local activity of two-port cnn with three or four state variables: Analysis and  applications,” Int. J. Bifur. Chaos, vol. 12, no. 5, pp. 931–963, 2002.

[33] L. Min, J. Wang, and X. Dong et al, “Some analytical criteria for local activity of three-port cnn with four state variables: analysis and applications,” Int J Bifurc Chaos, vol. 13, no. 8, pp. 2189–2239, 2003.

 

[34] Y. Meng, L. Min, and X. Dong, “Application of local activity theory of cnn to the coupled cell cycle clock,” in  Proceeding of 2007 IEEE Int. Conf. on Control and Automation, Guangzhou, May 30-June 1 2007, pp. 038–2043.


   四、主要科研项目

  主持了2项国家自然科学基金(主持人:闵乐泉):

  (1) 《几类复杂网络的若干广义同步理论及部分应用研究》(项目编号:61074192. 起始时间: 2011年1月--2013年12月, 22万).

  (2) 《细胞神经网络的若干基本性质及部分应用研究》(项目编号:60674059。起始时间:

2007年1月--2009年12月, 20万)。

    参加了一项国家科技"十一五"计划重大专项(子项目主持人:闵乐泉):

  (3) 《艾滋病和病毒性肝炎等重大传染病防治》(子项目编号:2008ZX10005-006。起始时间:

2008年10月--2011年6月,项目总经费4000千万,子项目到校经费25.84万)

参加了1项国家自然科学基金(与北京电子科技学院合作项目,本校主持人:闵乐泉):

  (4)《混沌公钥密码算法的设计与分析研究》(项目编号:61170037. 起始时间:  2011年1月-2015年12月,经费17.1万,已到校15万 ).

主持了横向课题4项:

  (5) 《中国体育彩票竞猜风险模型及系统开发》。项目起止时间:2010.10-2011.12, 经费: 39.2万. 主持人:闵乐泉.

  (6)《RSA-768数域筛法大数分解多项式选择中的多项式大小优化研究与工程实现》。 项目起止时间:2013.12-2014.5;到校经费:16万元。主持人:臧鸿雁。项目单位:北京信息科学技术研究院(国防科技大学项目)。

  (7)《RSA-768数域筛法大数分解多项式选择中的多项式大小优化研究与工程实现》。 项目起止时间:2014.11-2015.12;项目经费:21万元(未到校)。主持人:臧鸿雁。项目单位:北京信息科学技术研究院(国防科技大学项目)。

(8)《彩色鼎九码信息隐藏安全传递软件套件开发》。。 项目起止时间:2014.11-2015.05;项目经费:20万元(已到校经费17万)。主持人:闵乐泉。