Representative Publications since 2005


Selected papers published and/or accepted, submitted to peer-reviewed journals, or in preparation:

  • Wei Lin* and Tian Ge, Engineering oscillators in discrete biological systems: Theory and methods for amplitude and frequency modulation, In preparation.
  • Jiawen Hou, Huanfei Ma, Dake He, Jie Sun, Qing Nie*, and Wei Lin*, A model-free method of predicting change points in complex systems, in submission.
  • Qiyang Ge, Zixin Hu, Kai Zhang, Shudi Li, Wei Lin, Li Jin, and Momiao Xiong, Recurrent neural reinforcement learning for counterfactual evaluation of public health interventions on the spread of Covid-19 in the world, under revision.



  1. Qunxi Zhu*, Yao Guo*, and Wei Lin* [2021] Neural delay differential equations, The Ninth International Conference on Learning Representations (ICLR 2021), accepted as a poster, full file.
  2. Yiqun Dong, Jun Tao, Youmin Zhang, Wei Lin, and Jianliang Ai [2021] Deep learning in aircraft design, dynamics, and control: Review and prospects, IEEE Transactions on Aerospace and Electronic Systems, accepted as a review paper.
  3. Shijie Zhou* and Wei Lin [2021] Eliminating synchronization of coupled neurons adaptively by using feedback coupling with heterogeneous delays, CHAOS, vol. 31, no. 2, February, Art. no. 023114.
  4. Kai Shi, Lingli Zhang, Juehua Yu, Zilin Chen, Shenying Lai, Xingzhong Zhao, Wei-Guang Li, Qiang Luo, Wei Lin, Jianfeng Feng, Peer Bork, Xing-Ming Zhao*, and Fei Li* [2021] A 12-genus bacterial signature identifies a group of severe autism children with differential sensory behavior and brain structuresClinical and Translational Medicine, in press.
  5. Kunquan Lan and Wei Lin [2021] Steady-state solutions of one dimensional competition models in an unstirred chemostat  via the fixed point index theoryProceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 151 , no. 1, February, pp. 240 – 264.
  6. Jiawen Hou, Jie Hong, Boyun Ji, Bowen Dong, Yun Chen, Michael P. Ward, Wei Tu, Zhen Jin, Jian Hu, Qing Su, Wenge Wang, Zheng Zhao, Shuang Xiao, Jiaqi Huang, Wei Lin*, and Zhijie Zhang* [2021] Changed transmission epidemiology of COVID-19 at early stage: A nationwide population-based piecewise mathematical modelling study, Travel Medicine and Infectious Diseases, vol. 39, Art. no. 101918.   [Supplemental Materials: Changing transmission dynamics of COVID-19 in China: A nationwide population-based piecewise mathematical modeling study, medRxiv 2020:2020.03.27.20045757].
  7. Jiachen Ye, Thomas Peron, Wei Lin, Jürgen Kurths, Peng Ji* [2021] Performance measures after perturbations in the presence of inertia, Communications in Nonlinear Science and Numerical Simulation, vol. 97, June, Art. no. 105727.
  8. Qiyang Ge, Zixin Hu, Shudi Li, Wei Lin, Li Jin, and Momiao Xiong* [2021] A novel intervention recurrent  autoencoder for real time forecasting  and non-pharmaceutical  intervention selection to curb  the spread of Covid-19 in the worldStatistics and Its Interface, vol. 14, no. 1, pp. 37-47.  full file.
  9. Qiyang Ge, Xuelin Huang, Shenying Fang, Yuanyuan Liu, Wei Lin, and Momiao Xiong* [2020], Conditional generative adversarial networks for individualized treatment effect estimation and treatment selectionFrontiers in Genetics-Statistical Genetics and Methodology, vol. 11, Art. no. 585804.
  10. Peng Ji*, Wei Lin, and Jürgen Kurths [2020] Asymptotic scaling describing signal propagation in complex networksNature Physics, Matters Arisingvol. 16, no. 11,  1082-1083.
  11. Jiachen Ye, Peng Ji*, David Waxman, Wei Lin, and Yamir Moreno* [2020] Impact of intra and inter-cluster coupling balance on the performance of nonlinear networked systems, Chaos, Solitons & Fractals, vol. 139, Art. no. 110065.
  12. Yang Tang, Jürgen Kurths*, Wei Lin, Edward Ott, Ljupco Kocarev [2020] Introduction to Focus Issue: When machine learning meets complex systems: Networks, chaos, and nonlinear dynamics, CHAOS, Editorial, vol. 30, no. 6,  Art. no. 063151.
  13. Siyang Leng, Huanfei Ma, Jürgen Kurths, Ying-Cheng Lai, Wei Lin*, Kazuyuki Aihara*, Luonan Chen* [2020] Partial cross mapping eliminates indirect causal influences, Nature Communications, vol. 11, Art. no. 2632.
  14. Leheng Fang, Jiawen Hou, Junjie Lai, Zhen Jin, Ye Yao, Na He, Zhongxue Gan, and Wei Lin* [2020] Mathematical modeling of COVID-19 spreading dynamics based on a real megapolis map: An elementary study of computational simulations and intervention strategies (in Chinese), Acta Mathematicae Applicatae Sinica (应用数学学报), vol. 43, no. 2, 382-400.
  15. Peng Ji*, Lipeng Zhu, Chao Lu, Wei Lin, and Juergen Kurths [2020] How price-based frequency regulation impacts stability in power grids: A complex network perspectives, Complexity, vol. 2020, Art. no. 6297134.
  16. Kunquan Lan and Wei Lin [2020] Positive solutions of elliptic boundary value problems and applications to population dynamicsJournal of Dynamics and Differential Equationsvol. 32, 873-894.
  17. Kai Shi, Wei Lin, Xingming Zhao [2020] Identifying molecular biomarkers for diseases with machine learning based on integrative omicsIEEE/ACM Transactions on Computational Biology and Bioinformatics, Regular Paper, online.
  18. Qiang Li, Paul Schultz, Wei Lin, Jürgen Kurths, and Peng Ji* [2020]  Global and local performance metric with inertia effectsNonlinear Dynamics, vol. 102, 653-665.
  19. Yunbin Zhang, Ning Liu, Wei Lin, and Chunhe Li* [2019] Quantifying the interplay between genetic and epigenetic regulations in stem cell development, New Journal of Physics, vol. 21, Art. no. 103042.
  20. Qunxi Zhu, Huanfei Ma, and Wei Lin* [2019] Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing, CHAOS, vol. 29, no. 9, Art. no. 093125Focus Issue “When Machine Learning Meets Complex Systems: Networks, Chaos and Nonlinear Dynamics.”  full file.
  21. Shijie Zhou, Yao Guo, Maoxing Liu, Ying-Cheng Lai, and Wei Lin* [2019] Random temporal connections promote network synchronization, Physical Review E, vol. 100, Art. no. 032302. full file.
  22. Lijia Chen, Peng Ji*, David Waxman, Wei Lin, and Jürgen Kurths [2019] Effects of dynamical and structural modifications on synchronization, CHAOS, vol. 29, no. 8, Art. no. 083131.
  23. Qunxi Zhu and Wei Lin* [2019] Stabilizing Boolean networks by optimal event-triggered feedback control, Systems & Control Letters, vol. 126, 40-47.
  24. Chiyu Pan, Yuanren Jiang, Qunxi Zhu, and Wei Lin* [2019] Emergent dynamics of coordinated cells with time delays in a tissue, CHAOS, Fast Track, vol. 29, Art. no. 031101.
  25. Kunquan Lan and Wei Lin [2019] Systems of elliptic boundary value problems and applications to competition modelsApplied Mathematics Letters, vol. 90, 86-92.
  26. Kunquan Lan and Wei Lin [2019] Lyapunov type inequalities for Hammerstein integral equations and applications to population dynamicsDiscrete & Continuous Dynamical Systems-B, vol. 24, no. 4, 1943-1960.
  27. Fuli Dai, Shijie Zhou, Thomas Peron, Wei Lin, and Peng Ji* [2018] Interplay among inertia, time delay and frustration on synchronization dynamics, Physical Review E, vol. 98, art. no. 052218.
  28. Huanfei Ma, Siyang Leng, Kazuyuki Aihara*, Wei Lin*, and Luonan Chen* [2018] Randomly distributed embedding making short-term high-dimensional data predictable, Proceedings of the National Academy of Sciences of the United States of America, vol. 115, no. 43, E9994-E10002 (open access).
  29. Le-Heng Fang, Wei Lin*, and Qiang Luo [2018]  Brain-inspired constructive learning algorithms with evolutionally additive nonlinear neurons, International Journal of Bifurcation and Chaos, vol. 28, no. 5, Article no. 1850068. full file.
  30. Junjie Jiang, Zigang Huang, Thomas P. Seager, Wei Lin, Celso Grebogi, Alan Hastings*, and Ying-Cheng Lai* [2018] Predicting tipping points in mutualistic networks through dimension reduction, Proceedings of the National Academy of Sciences of the United States of America, vol. 115, no. 4, E639-E647. full file.
  31. Yao Guo, Wei Lin*, and Guanrong Chen [2018] Stability of switched systems on randomly switching durations with random interaction matricesIEEE Transaction on Automatic ControlRegular Paper, vol. 63, no. 1, 21-36full file.
  32. Yongzheng Sun, Siyang Leng, Ying-Cheng Lai, Celso Grebogi, and Wei Lin* [2017] Closed-loop control of complex networks: A trade-off between time and energyPhysical Review Letters, vol. 119, Article no. 198301.full file.
  33. Huanfei Ma, Siyang Leng, Chenyang Tao, Xiong Ying, Jürgen Kurths, Ying-Cheng Lai, and Wei Lin* [2017] Detection of time delays and directional interactions based on time series from complex dynamical systems, Physical Review E, vol. 96 (1), Article no. 012221. full file.
  34. Shijie Zhou, Peng Ji, Qing Zhou, Jianfeng Feng, Jürgen Kurths, and Wei Lin* [2017] Adaptive elimination of synchronization in coupled oscillator, New Journal of Physics, vol. 19, Article no. 083004.  full file.
  35. Wei Lin, Xin Chen, and Shijie Zhou [2017] Achieving control and synchronization merely through a stochastically adaptive feedback coupling, CHAOS, vol. 27, Article no. 073110. full file.
  36. Pan Li, Wei Lin, and Konstantinos Efstathiou [2017] Isochronous dynamics in pulse coupled oscillator networks with delay, CHAOS, vol. 27 (5), Article no. 053103.
  37. Yao Guo, Wei Lin*, Yuming Chen, and Jianhong Wu [2017], Instability in time-delayed switched systems induced by fast and random switching, Journal of Differential Equations, vol. 263 (2), 880-909.
  38. Kunquan Lan and Wei Lin [2017] Population models with quasi-constant-yield harvest ratesMathematical Biosciences and Engineering, vol. 14 (2), 467-490.
  39. Yao Guo, Wei Lin*, and Daniel W. C. Ho  [2016] Discrete-time systems with random switches: From systems stability to networks synchronizationCHAOSvol. 26 (3), Article no. 033113.
  40. Wei Cheng, Edmund T. Rolls, Jiang Qiu, Wei Liu, Yanqing Tang, Chu-Chung Huang, XinFa Wang, Jie Zhang, Wei Lin, Lirong Zheng, JunCai Pu, Shih-Jen Tsai, Albert C. Yang, Ching-Po Lin, Fei Wang, Peng Xie, Jianfeng Feng* [2016] Medial reward and lateral non-reward orbitofrontal cortex circuits change in opposite directions in depression, Brain, vol. 139 (12) 3296-3309.
  41. Pei Yu and Wei Lin [2016] Complex dynamics in biological systems arising from multiple limit cycle bifurcationJournal of Biological Dynamicsvol. 10 (1), pp. 263-285.
  42. Siyang Leng, Wei Lin*, and Jürgen Kurths [2016] Basin stability for delayed dynamics, Scientific Reports, vol. 6, Article no. 21449.
  43. Kunquan Lan and Wei Lin [2016] Uniqueness of nonzero positive solutions of Laplacian elliptic equations arising in combustion theoryDiscrete and Continuous Dynamical System-Bvol. 21, no. 3, pp. 849-861.
  44. Huanfei Ma, Daniel W. C. Ho, Ying-Cheng Lai, and Wei Lin* [2015] Detection meeting control: Unstable steady states in high-dimensional nonlinear dynamical systems, Physical Review E, vol. 92 (4), Article no. 042902.
  45. Yongzheng Sun* and Wei Lin* [2015] A Positive role of multiplicative noise on the emergence of flocking in a stochastic Cucker-Smale system, CHAOS, vol. 25, Article no. 083118.
  46. Bing Xu and Wei Lin* [2015] Parameters identification by a piecewise adaptive rule with a fractional power, International Journal of Bifurcation and Chaos, vol. 25 (12), Article no. 1550166.
  47. Chenyang Tao, Wei Lin, and Jianfeng Feng [2015] Reconstruction of excitatory neuronal connectivity via metric score pooling and regularizationProceedings of Machine Learning Research (PMLR): Workshop and Conference ProceedingsNeural connectomics workshop at ECML 2014 (vol. 46: 57-66, edited by: D. Battaglia, I. Guyon, V. Lemaire, and J. Soriano).   Also published in book: Neural Connectomics Challenge, The Springer Series on Challenges in Machine Learning, Springer, 2017.
  48. Chengwen Chen, Ye Yao, Liang Zhang, Minjie Xu, Jianping Jiang, Tonghai Dou, Wei Lin, Guoping Zhao, Minren Huang, and Yan Zhou* [2015], A comprehensive analysis of the transcriptomes of Marssonina brunnea and infected poplar leaves to capture vital events in host-pathogen interactionsPLoS ONE, vol. 10 (7), Article no. e0134246.
  49. Jun Guo, Wei Wang, Zhi-cheng Sun, Xin-sheng Wu, Mei Hao, Jian-long Ge, Pan-tong Yao, Jian-bing Zhu, Wei Lin, and Lei Xue* [2015] A three-pool model dissecting readily releasable pool replenishment at the calyx of held, Scientific Reports, vol. 5, Article no. 9517.
  50. Yongzheng Sun*, Wei Lin*, and  Radek Erban* [2014] Time delay can facilitate coherence in self-driven interacting particle systems, Physical Review E, vol. 90, Article no. 062708.
  51. Tian Ge, Xiaoying Tian, Jürgen Kurths, Jianfeng Feng, and Wei Lin* [2014] Achieving modulated oscillations by feedback controlPhysical Review E, vol. 90, Article no. 022909.
  52. Xiaoxi Ji, Yu Wu, Wenbo Sheng, and Wei Lin* [2014] Identification of interactions in fractional-order systems with high dimensions, CHAOS, vol. 24, Article no. 023119.
  53. Huanfei Ma and Wei Lin* [2013] Realization of parameters identification in nonautonomous and only locally Lipschitzian dynamical systems with multiple types of time delays,  SIAM Journal on Control and Optimization, vol. 51, p. 3692-3721.
  54. Huanfei Ma, Wei Lin*, and Ying-Cheng Lai [2013] Detecting unstable periodic orbits in high-dimensional chaotic systems from time series: Reconstruction meeting with adaptationPhysical Review E, Rapid Communicationvol. 87, Article no. 050901 (R).
  55. Wei Lin*, Yang Pu, Yao Guo, and Jürgen Kurths [2013] Oscillation suppression and synchronization: Frequencies determine the role of control with time delays,  Europhysics Letters (EPL), vol. 102, Article no. 20003Supplementary information.
  56. Zhang Chen and Wei Lin [2013] Square-mean weighted pseudo almost automorphic solutions for non-autonomous stochastic evolution equations,  Journal de Mathématiques Pures et Appliquéesvol. 100, p. 476-504.
  57. Kunquan Lan and Wei Lin [2013] Positive solutions of systems of Caputo fractional differential equations, Communications in Applied Analysis, vol. 17, p. 61-86.
  58. Tian Ge, Yindong Cui, Wei Lin*, Jürgen Kurths, and Chong Liu [2012] Characterizing time series: When Granger causality triggers complex networksNew Journal of Physics, vol. 14, Article no. 083028.
  59. Yao Guo, Wei Lin*, and Miguel A.F. Sanjuan [2012] The efficiency of a random and fast switch in complex dynamical systemsNew Journal of Physics, vol. 14, Article no. 083022.
  60. Yu Wu, Wenlian Lu, Wei Lin, Gareth Leng, and Jianfeng Feng* [2012] Bifurcations of emergent bursting in a neuronal networkPLoS ONE, vol. 7, Article no. e38402.
  61. Tian Ge, Wei Lin*, and Jianfeng Feng [2012] Invariance principles allowing of non-Lyapunov functions for estimating attractor of discrete dynamical systemsIEEE Transaction on Automatic Control, vol. 57, pp. 500.
  62. Yu Wu and Wei Lin* [2011] Adaptively locating unknown steady states: Formalism and basin of attractionPhysics Letters A, vol. 375, pp. 3279.
  63. Jing Kang, Bing Xu, Ye Yao, Wei Lin, Conor Hennessy, Peter Fraser, and Jianfeng Feng* [2011] A dynamical model reveals gene colocalizations in nucleusPLoS Computational Biology, vol. 7, Article no. e1002094.
  64. Andreas W.M. Dress and Wei Lin [2011] Dynamics of a discrete-time model of an “ideal-storage” system describing hetero-catalytic processes on metal surfaces, International Journal of Bifurcation and Chaos, vol. 21, pp. 1331.
  65. Zhang Chen and Wei Lin [2011] Square-mean pseudo almost automorphic process and its application to stochastic evolution equationsJournal of Functional Analysis, vol. 261, pp. 69.
  66. Kunquan Lan and Wei Lin [2011] Multiple positive solutions of systems of Hammerstein integral equations with applications to fractional differential equationsJournal of the London Mathematical Society, vol. 83, pp. 449.
  67. Kunquan Lan and Wei Lin [2011] A variational inequality index for condensing maps in Hilbert spaces and applications to semilinear elliptic inequalities, Nonlinear Analysis: T. M. A., vol. 74, pp. 5415.
  68. Wei Lin, Huanfei Ma, Jianfeng Feng, and Guanrong Chen [2010] Locating unstable periodic orbits: When adaptation integrates into delayed feedback control, Physical Review E, vol. 82, Art. No. 046214.
  69. Huanfei Ma, Bing Xu, Wei Lin*, and Jianfeng Feng [2010] Adaptive identification of time delays in nonlinear dynamical models, Physical Review E, vol. 82, Art. No. 066210.
  70. Wei Lin* and Huanfei Ma [2010] Synchronization between adaptively coupled systems with discrete and distributed time-delays, IEEE Transactions on Automatic ControlRegular Paper, vol. 55, pp. 819.
  71. Wei Lin [2010] Comment on “Adaptive steady-state stabilization for nonlinear dynamical systems”Physical Review E, vol. 81, Art. No. 038201.
  72. Wenyong Zhong and Wei Lin* [2010] Time-scale-dependent criteria for the existence of positive solutions to p-Laplacian multipoint boundary value problemAdvance in Difference Equations, vol. 2010, Article ID 746106, 20 pages.
  73. Wei Lin* and Guanrong Chen [2009] Large memory capacity in chaotic artificial neural networks: A view of the anti-integrable limit, IEEE Transactions on Neural Networks, Regular Paper, vol. 20, pp.1340.
  74. Huanfei Ma and Wei Lin* [2009] Nonlinear adaptive synchronization rule for identification of a large amount of parameters in dynamical modelsPhysics Letters A, vol. 374, pp. 161.
  75. Wenyong Zhong and Wei Lin* [2009] Existence of positive solutions in generalized boundary value problem for p-Laplacian dynamic equations on time scalesAdvances in Difference Equations, vol. 2009, Art. ID 848191.
  76. Zi-Yin Shen, Jianhua Huang, Wei Lin, et al. [2009] Transition of studying on Shen deficiency syndrome and aging from holistic concept to systematic biology viewpoint, Chinese Journal of Integrated Traditional and Western Medicine, vol. 29, pp. 548 (In Chinese).
  77. Wei Lin [2008] Realization of synchronization in time-delayed systems with stochastic perturbation, Journal of Physics A: Mathematical and Theoretical, vol. 41, Art. No. 235101.
  78. Qing Ding and Wei Lin [2008] The transmission property of the discrete Heisenberg ferromagnetic spin chainJournal of Mathematical Physics, vol. 49, Art. No. 093501.
  79. Wei Lin [2008] Chaos control and synchronization in only locally Lipschitz systemsPhysics Letters A, vol. 372, pp. 3195.
  80. Zi-Yin Shen, Xin-Min Zhang, Wei Lin, et al. [2008] Establishment of a quantitative mathematical model of Shen-deficiency syndrome based on whole-genome transcriptional profiles, Chinese Journal of Integrated Traditional and Western Medicine, vol. 28, pp. 131 (In Chinese).
  81. Wei Lin and Huanfei Ma [2007] Failure of parameter identification based on adaptive synchronization techniquesPhysical Review E, vol. 75, Art. No. 066212.
  82. Wei Lin, Jianhong Wu, and Guanrong Chen [2007] Generalized snap-back repeller and semi-conjugacy to shift operators of piecewise continuous transformations, Discrete and Continuous Dynamical Systems-Series A, vol. 19, pp.103.
  83. Wei Lin [2007] Global existence theory and chaos control of fractional differential equationsJournal of Mathematical Analysis and Applications, vol. 332, pp. 709.
  84. Zhang Chen, Wei Lin*, and Jie Zhou [2007] Complete and generalized synchronization in a class of noise perturbed chaotic systemsCHAOS, vol. 17, Art. No. 023106.
  85. Wenyong Zhong, Wei Lin*, and Jiong Ruan [2007] The generalized invariance principle for dynamic equations on time scalesApplied Mathematics and Computation, vol. 184, pp. 557.
  86. Wei Lin and Guanrong Chen [2006] Using white noise to enhance synchronization of coupled chaotic systems, CHAOS, vol. 16, Art. No. 013134.
  87. Wei Lin and Guanrong Chen [2006] Heteroclinical repellers imply chaosInternational Journal of Bifurcation and Chaos, vol. 16, pp. 1471.
  88. Chen Wu, Jiong Ruan, and Wei Lin [2006] Existence and stability of periodic solution in the delayed Cohen-Grossberg neural network with high-order termsApplied Mathematics and Computation, vol. 177, pp. 194.
  89. Wei Lin [2005] Description of complex dynamics in a class of impulsive differential equations, Chaos, Solitons & Fractals, vol. 25, no. 5, pp. 1007-1017.
  90. Wei Lin and Yangbo He [2005] Complete synchronization of the noise-perturbed Chua’s circuitsCHAOS, vol. 15, Art. No. 023705.


  • Ruo-yu Luo, Mushuang Hu, Wei Lin, Jiaheng Ying, Yang Yu, Yan Wang, Ning Fang, Lingchong You, and Li Jin [2017], Glycolytic reprogramming in cancer cells: PKM2 dimer predominance induced by pulsatile PFK-1 activity.
  • Zhang Chen, Wei Lin, and Xiaodong Zuo [2015], Random attractor for three-dimensional and globally-modified Navier-Stokes equations with finite memory and stochastic perturbations.



* represents the corresponding author of a paper.