基本信息

康艳梅 

 

主要经历 

 

 1997.09-2000.04  西安交大应用数学专业硕士研究生 

 

 2000.09-2004.08  西安交大工程力学专业博士研究生 

  

 2004.10-2006.11  西安交大数学流动站博士后 

  

 2006.12-2007.07  西安交大理学院讲师 

 

  2007.08-2014.12 西安交大数学与统计学院副教授

 

  2010.08-2011.07

 Visiting Research Scholar , Lab of Computational Biology, Warwick University, UK

 

 2016.08-2016-10

 Visiting Professor, Faculty of Science, The University of Sydney, AUS

 

  2014年12月至今 西安交大数学与统计学院教授

  

 

  研究方向:随机系统响应理论及其在物理、生物系统中的应用

 

 2014年起招收博士生

 

  联系邮件:ymkang@mail.xjtu.edu.cn

 

 

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研究领域

 

研究方向  

 

随机理论、方法及其生物、物理系统中的应用;相关分析算法与图像重构;反常扩散系统的响应分析与模拟;  随机共振现象的数学方法与应用模拟;皮层神经网络失衡的临界动力学

 

 

科研项目:

   

1.  非线性复杂系统中随机共振现象的半解析方法,国家自然科学基金,     

     执行年限:2007年1月-2009年12月

 

2.  反常扩散系统的响应理论及噪声诱导的非线性现象,国家自然科学基金,     

     执行年限:2011年1月-2013年12月

 

3. 具有分式结构的生化反应系统的随机响应方法及其在基因调控网络中的应用,

     国家自然科学基金

     执行年限: 2014年1月-2017年12月

  

主要学术论文

 

[1] Ruo-Nan Liu, Yan-Mei Kang, Observing Stochastic Resonance in Periodic Potential Systems Driven by Alpha Stable Lévy Noise. submitted to Physical Review E, under revision

[2] Xi Chen, Yan-Mei Kang, Switches in a genetic regulatory system under multiplicative non-Gaussian noise. submitted to Journal of theoretical biology, under revision

[3]  Shuo Ma, Yan-Mei Kang, Exponential Synchronization of Delayed Neutral-Type Neural Networks with Levy noise under Non-Lipschitz Condition. submitted to Communications in Nonlinear Science and Numerical Simulation, under revision

[4] Kang Y. M, Chen X. Lin X.D. Tan N. Mean First Passage Time and Stochastic Resonance in a Transcriptional Regulatory System with Non-Gaussian Noise.  Fluctuation & Noise Letters (2017) , 16 (01), art. no. 175007[17 pages]

[5] Chen C, Kang Y. M. Dynamics of a stochastic multi-strain SIS epidemic model driven by Lévy noise. Communications in Nonlinear Science and Numerical Simulation 2017, 42:379-395. DOI: 10.1016/j.cnsns.2016.06.012

[6] Chen X., Kang Y. M. Application of Gaussian moment method to a gene autoregulation model of rational vector field. Mod. Phys. Lett. B 30, 1650264 (2016) [10 pages]

 http://www.worldscientific.com/doi/abs/10.1142/S021798491650264X

[7] Chen Z. Y., Kang Y. M. The first passage time density of Ornstein–Uhlenbeck process with continuous and impulsive excitations. Chaos, Solitons & Fractals 2016 91: 214-220 http://dx.doi.org/10.1016/j.chaos.2016.05.018

[8]  Kang Y. M. Simulating Transient dynamics of the time-dependent time fractional Fokker-Planck systems. Phys. Lett. A 2016, 380: 3160-3166 DOI: 10.1016/j.physleta.2016.07.049

[9] Chen C, Kang Y. M. The asymptotic behaviour of a stochastic vaccination model with backward bifurcation. Applied Mathematical Modelling 2016, 40(11-12): 6051-6058

[10] Kang Y. M., Xie Y. , Lu J. C. Jiang J.  On the nonexistence of non-constant exact periodic solutions in a class of Caputo fractional-order dynamical systems. Nonlinear Dynamics 82(3)259–1267 (2015) 

[11] Kang Y M, Jiang Y L and Xie Y. Linear response characteristics of time-dependent time fractional Fokker-Planck equation systems. J. Phys. A: Math. Theor.47,455055(2014)

[12] Xie Y, Kang Y M, Liu Y, Wu Y. Firing properties and aynchronization rate in fractional-order Hindmarsh-Rose model neurons.  Science China Technological  Science 57(5), 917(2014)

[13]Chen C, Kang Y M. Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence. Abstract and Applied Analysis, 2014, 723825(2014).

[14] Zhang Z R, Kang Y M et al. Stochastic resonance in a simple threshold sensor systems with alpha stable noise. Commun. Theor. Phys. 61, 578(2014)

[15] Shao Y G, Kang Y M. Effect of spatially correlated noise on stochastic synchronization in globally coupled FitzHugh-Nagumo neuron systems. Theor. & Appl. Mech. Lett.4, 013006(2014) 

[16] Kang Y M et al.  Effect of spatial correlation on stochastic resonance in two linearly interacting noisy bistable oscillators. J. Stat Mech. P10029(2012)

[17]  Kang Y M, Wang M et al. Stochastic resonance in coupled weakly-damped bistable oscillators subjected to additive and multiplicative noise. Acta Mech. Sin. 28(2),05 (2012) 

 [18] Durrant S, Kang Y. M., Stocks N. and Feng J. F. Suprathreshold stochastic resonance in neural processing tuned by correlation. Phys. Rev. E 84, 011923(2011) 

 [19]  Kang Y M.  Coherence resonance in subdiffusive fractional Klein-Kramers periodic potential systems without a bifurcation precusor. EPL(Europhys. Lett.) 94, 60005(2011)

 [20] Kang Y M, Jiang J, Xie Y.  Observing fluctuating spectral density of subdiffusive overdampoed Brownian particles in periodic potentials. J. Phys. A: 44, 035002(2011)

 [21] Li Y. J., Kang Y. M. A study on stochastic resonance in biased subdiffusive Smoluchowski systems within linear response range. Commun. Theor. Phys. 54, 292(2010)

 [22] Kang Y M, Jiang Y L.  Linear response charactersistics in time-dependent subdiffusive fractional Fokker-Planck equations. J. Math. Phys. 51, 023301(2010)

 [23] Kang Y M, Jiang Y L.  Spectral density of fluctuations in fractional bistable Klein-Kramers systems. Phys. Rev. E 81,021109(2010)

 [24] Xie Y, Chen L, Kang Y M and Aihara K. Controling the onset of Hopf bifurcation in the Hodgkin_Huxley model. Phys. Rev. E 77(6), 061921(2008)

 [25] Xie Y, Chen L, Kang Y M. Changes in types of neural excitability via bifurcation control. Phys. Rev. E 77(2), 021917(2008) 

 [26] Kang Y M, Jiang Y L. A semi-analytic method for computing the long-time order parameter dynamics in mean-field coupled overdamped oscillators with colored noises. Phys. Lett. A 372(46),6826(2008) 

 [27] Kang Y M, Jiang Y L.  Long-time dynamic response and stochastic resonance of subdiffusive overdamped bistable fractional Fokker-Planck systems. Chin. Phys.  Lett.  25(10), 3578(2008)

[28] Kang Y M, Xie Y, Xu J X. Observing nonlinear stochastic resonance with piecewise constant forces by the method of moments. Chaos Solitons & Fractals 27(3), 715(2006) 

[29] Kang Y M, Xu J X and Xie Y. Signal-to-noise ratio gain of a noisy neuron that transmits subthreshold periodic spike strains. Phys. Rev. E 72(2), 021902(2005)

[30] Kang Y M, Xu J X, Jin W Y. Aperiodic stochastic resonance and stochastic synchronization of uni-directionally coupled optical ssytems. Int. J. Nonlinear Science and Numerical Simulation 6,19(2005)

 [31]Kang Y M, Xu J X  and Xie Y. Observing stochastic resonance in an underdapmed bistable Duffing oscillator by the method of moments. Phys. Rev. E 68(3), 036123(2003) 

[32] Kang Y M, Xu J X and Xie Y. Relaxation rate and stochastic resonance of a single-mode nonlinear optical system. Acta Physica Sinica 52(11), 2712(2003) (in Chinese)

[33] Kang Y M, Xu J X and Xie Y. Stochastic resonace in two-dimensional Brownian motion in the waek noise limit. Acta Physica Sinica, 52(4), 802(2003) (in Chinese)

 

 

 

教学经历

 

主讲课程:数学物理方程、数学建模、概率论

参与建设课程:随机微分方程 

曾辅导课程:工科数学分析基础(I)、线性代数与空间解析几何
 
 
 
获奖情况
 
 
2011-2012学年度,西安交通大学电气工程学院优秀授课教师(获奖)
 
2007 西安交通大学优秀博士后(获奖)
 
2007年 全国百篇优秀博士学位论文(提名)
 
2006年 陕西省优秀博士学位论文(获奖)
 
2005年 西安交通大学唐照千奖学特等奖(获奖)
 
 
 

Representative Oral Presentation

 

  

[1] Y. M. Kang. Some  quantitative analytic results on stochastic gene regulatory systems. The 4th International Random Dynamical Systems. Huazhong University of Science and TechnologyJune-23-27, 2017, Wuhan, China  

[2] Z-Y Chen, Y. M. Kang. The first passage time distribution of the noisy integrate-and-fire neuron with continous and discrete periodic input. The 5th International Conference on Cognitive Neurodynamics(ICCN 2015), June 3-7 2015 Sanya, China 

[3] X. Chen, Y. M. Kang. Application of Gaussian moment method  to a simple gene regulation model of rational vector field. The 2015 International Conference on Noise and Fluctuations(ICNF 2015), June 2-6 2015, Xi'an,China

[4]Y.M. Kang et al. Enhancement of weak signal detection in parallel arrays of integrate-and-fire neurons by negative spatial correlation in H. Liljenstrom(ed.), Advances in Cognitive Neurodynamics(IV),Springer Science+Business Media Dordrechet 2015[5]Y. M. Kang. Stochastic Resonance in Neural Systems. Workshop on Life Science Modelling and Computation, Shanghai Jiaotong University, Shanghai, 2013 Dec. 27-29

 

 

 
  学术兼职

 

 《Mathematical Review》评论员;  陕西工业与应用数学学会理事