• B. F. Nielsen, L.J. Shiau, J. Wyller, Stability Analysis of the Initial Value Problem for the Wilson-Cowen Model, submitted.

  • L.J. Shiau, T. Schwalger, B. Lindner, Interspike Interval correlation in a stochastic exponential integrate-and-fire model with subthreshold and spike-triggered adaptation, Journal of Computational Neuroscience, (2015), 38 (3), 589-600. DOI: 10.1007/s10827-015-0558-4 [PDF 1.8MB]

  • L.J. Shiau, C. R. Laing, Periodically Forced Piecewise Linear Adapative Exponential Integrate-and-fire Neuron, International Journal of Bifurcation and Chaos, (2013), 23(10): DOI: 10.1142/S021812741350171X. [PDF 2MB]

  • R. Glowinski, L.J. Shiau, M. Sheppard, Numerical Methods for a Class of Nonlinear Integro-Differential Equations, The Journal of Calcolo, (2012), DOI: 10.1007/s10092-012-0056-2. [PDF 757K]

  • J. Ladenbauer, M. Augustin, L.J. Shiau, K. Obermayer, Impact of Adaptation Currents on Synchronization of Coupled Exponential Integrate-and-Fire Neurons, PLoS Comput Biol, (2012), 8(4): e1002478. doi:10.1371/journal.pcbi.1002478. [PDF 2.2MB]

  • K. Josic, M. Lopez, W. Ott, L.J. Shiau, M. Bennette, Stochastic Delay Accelerates Signaling in Gene Networks, PLoS Comput Biol, (2011), 7(11): e1002264. doi:10.1371/journal.pcbi.1002264. [PDF 3.8MB]

  • M. Golubitsky, C. Postlethwaite, L.J. Shiau and Y. Zhang. The feed-forward chain as a filter amplifier motif. In: Coherent Behavior in Neuronal Networks. (K. Josic, M. Matias, R. Romo, and J. Rubin, eds.) Springer, 2009, 95-120M. [PDF 594K]

  • M. Golubitsky, L.J. Shiau and I. Stewart, Symmetry and Bifurcation in Vestibular System, Proceedings in Applied Mathematics and Mechanics, ICIAM07, 7 (1), 2008, 1030705-1030706.

  • S. Coombes, N. A. Venkov, L.J. Shiau, I. Bojak, D T J Liley, and C. R. Laing, Modeling electrocortical activity through improved local approximations of integral neural field equations, Phys. Rev. E 76, 051901 (2007). [PDF 600K]

  • M. Golubitsky, L.J. Shiau and I. Stewart, Spatiotemporal Symmetries in the Disynaptic Canal-Neck Projection, SIAM J Appl Math. 67 (5) (2007) 1396-1417. [PDF 268K]

  • Shiau, L.J., An Application of Vector Space Theory in Data Transmission, Inroads - The SIGSCE Bulletin, 38 (2), 33-36. [PDF 326K]

  • Glowinski, R., Shiau, L.J., Kuo, Y.M., and Nasser, G., On the Numerical Simulation of Friction Constrained Motions, Nonlinearity, 19, (2006) 195-216. [PDF 473K]

  • M. Golubitsky, K. Josic and L.J. Shiau, Bursting in coupled cell systems. In: Bursting: The Genesis of Rhythm in the Nervous System. (S. Coombes and P.C. Bressloff, eds.) World Scientific Publ. Co. (2005) 205-225. [PDF 670K]

  • Shiau, L.J. and Glowinski, R., Operator Splitting Method for Friction Constrained Dynamical Systems, AIMS Proceedings, (2005) 806 - 815. [PDF 592K]

  • Glowinski, R., Shiau, L.J., Kuo, Y.M., and Nasser, G., The Numerical Simulation of Friction Constrained Motions (II): Multiple Degrees of Freedom Models, Applied Mathematics Letters,  18, 10, (2005) 1108-1115. [PDF 238 K]

  • M. Golubitsky, L.J. Shiau and A. Torok. Symmetry and pattern formation on the visual cortex. In: Dynamics and Bifurcation of Patterns in Dissipative Systems. (G. Danglmayer and J. Opera, eds.) Series on Nonlinear Science 12 World Scientific Publishing Co., Singapore, 2004, 3-19.[PDF 467K]

  • Fu, X. and Shiau, L.J., Oscillation Criteria for Impulsive Parabolic Boundary Value Problem with Delay, Journal of Applied Mathematics and Computation, 153, (2004) 587-599. [PDF 133K]

  • Glowinski, R., Shiau, L.J., Kuo, Y.M., and Nasser, G., The Numerical Simulation of Friction Constrained Motions (I): One Degree of Freedom Models, Applied Mathematics Letters, 17, 7, (2004) 801-807. [PDF 441K]

  • M. Golubitsky, L.J. Shiau and A. Torok. Bifurcation on the visual cortex with weakly anisotropic lateral coupling. SIAM J. Appl. Dynam. Sys. 2 (2003) 97-143. [PDF 10.2M]