Recent Publications

``A Coupled Plankton System with Instantaneous and Delayed Predation,'' Y. Yuan Journal of Biological Dynamics, Vol. 6, (2012), 148-165.

``Global Stability for Non-monotone Delay Equations (with Application to A Model of Blood Cell Production),'' Y. Yuan and X.-Q. Zhao Journal of Differential Equations, Vol. 252, (2012), 2189-2209.

``Synchronous/Asynchronous Patterns in Three-Cell Networks with Multiple Time Delays,'' Y. Yuan and L. Li International Journal of Bifurcation and Chaos, Vol. 21(6), (2011), 1701-1718.

``Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay,'' Y. Yuan and J. Belair SIAM Journal on Applied Dynamical Systems, Vol. 10, (2011), 551-581.

``Spatially Nonhomogeneous Equilibrium in a Reaction-diffusion System with Distributed Delay,'' R. Hu and Y. Yuan Journal of Differential Equations, Vol. 250, (2011), 2779-2806.

``Delay-Induced Primary Rhythmic Behavior in a Two-Layer Neural Network,'' S.J. Guo and Y. Yuan Neural Networks, Vol. 24, (2011), 65-74.

``Stability, Bifurcation Analysis in a Neural Network Model with Delay and Diffusion,'' R. Hu and Y. Yuan Discrete and Continuous Dynamical Systems, Supp., (2009), 367-376.

``Pattern Formation in a Ring Network with Delay,'' S.J. Guo and Y. Yuan Mathematical Models and Methods in Applied Sciences, Vol. 19(10), (2009), 1797-1852.

``Phytoplankton Depth Profiles and Their Transitions Near the Critical Sinking Velocity,'' T. Kolokolnikov, C.H. Ou and Y. Yuan J. Math. Biol., Vol. 59, (2009), 105-122.

``Zero Singularities of Codimension Two and Three in Delay Differential Equations,'' S.A. Campbell and Y. Yuan Nonlinearity Vol. 21, (2008), 2671-2691.

``Stability, Symmetry-breaking Bifurcations and Chaos in Discrete Delayed Models,'' M.S. Peng and Y. Yuan Inter. J. Bifurcations and Chaos Vol. 18(5), (2008), 1477-1501.

``Complex Dynamics in Discrete Delayed Models with $D_4$ Symmetry,'' M.S. Peng and Y. Yuan Chaos, Solitons and Fractals Vol. 37(2), (2008), 393-408.

``Dynamics in Three Cells with Multiple Time-delays,'' L. Li and Y. Yuan Nonlinear Analysis - B: Real World Applications Vol. 9(3), (2008), 725-746.

`` Singularity Analysis on a Planar System with Multiple Delays '', Y. Yuan and J. Wei J. Dynamics and Differential Equations Vol. 19(2), (2007), 437-456.

`` Stability Switches and Hopf Bifurcations in a Pair of Delay Coupled Oscillators '', Y. Song, J. Wei and Y. Yuan J. Nonlinear Science , Vol. 17(2), (2007), 145-166.

`` Synchronization and Desynchronization in a Delayed Discrete Neural Network '', M. Peng and Y. Yuan Int. J. Bifurcations & Chaos Vol. 17(3), (2007), 791-803.

`` Bogdanov-Takens Singularity in Van der Pol's Oscillator,'' W. Jiang and Y. Yuan Physica D, Vol. 227(2), (2007), 149-161.

`` Dynamics in a Delayed-Neural Network '', Y. Yuan Chaos, Solitons & Fractals , Vol. 33(2), (2007), 443-454.

`` Multiple Bifurcation Analysis in a Neural Network Model with Delays '', Y. Yuan and J.J. Wei Int. J. Bifurcations & Chaos Vol. 16(10), (2006), 2903-2913.

`` Analysis on Limit Cycles of $Z_q$-equivariant Polynomial Vector Fields with Degree 3 or 4 '', P. Yu, M. Han and Y. Yuan J. Mathematical Analysis and Applications Vol. 322, (2006), 51-65.

`` Bifurcation Analysis on a Survival Red Blood Cells Model '', Y.L. Song, J.J. Wei and Y. Yuan J. Mathematical Analysis and Applications Vol. 316, (2006), 459-471.

`` Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delayed Coupling '', S. A. Campbell, Y. Yuan and S. Bungay Nonlinearity Vol. 18, (2005), 2827-2846.

`` Synchronized Hopf Bifurcation Analysis in a Neural Network Model with Delays '', J.J. Wei and Y. Yuan J. Mathematical Analysis and Applications Vol. 312, (2005), 205-229.

`` Stability and Synchronization of a Ring of Identical Cells with Delayed Coupling '', Y. Yuan and S.A. Campbell, J. Dynamics and Differential Equations Vol. 16(3), (2004), 709-744.

`` Aeroelasticity of Time-Delayed Feedback Control of Two-Dimensional Supersonic Lifting Surfaces '', Y. Yuan , P. Yu, L. Librescu and P. Marzocca, J. Guidance, Control, and Dynamics , Vol. 27(5), (2004), 795-803.

`` The Simplest Normal Form Generalized Hopf Bifurcation with Perturbation Parameters '', P. Yu and Y. Yuan , Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms (DCDIS), suppl. , (2003), 127-132.

`` A matching Pursuit Technique for Computing the Simplest Normal Forms of Vector Fields '', P. Yu and Y. Yuan , J. Symbolic Computation, Vol. 35(5), (2003), 591-615.

`` The Simplest Normal Form for 1:2 Double Hopf Singularity '', Y. Yuan and P. Yu, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms (DCDIS), Vol. 10 (1-3), (2003), 123-136.

`` An Efficient Method for Computing the Simplest Normal Forms of Vector fields '', P. Yu and Y. Yuan , Int. J. Bifurcations & Chaos, Vol. 13(1), (2003), 19-46.

`` Bifurcation and Stability Analysis of a 13-D Seic Model Using Normal Form Reduction and Numerical Simulation '', A.B. Gumel, S.M. Moghads, Y. Yuan and P. Yu, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms (DCDIS), Vol. 10 (1-3), (2003), 317-330.

`` Study of Double Hopf Bifurcation and Chaos for an Oscillator with Time Delayed Feedback '', P. Yu, Y. Yuan and J. Xu, Int. J. Communications in Nonlinear Science and Numerical Simulation (CNSNS), Vol. 7 (1-2) (2002), 69-91.

`` Computation of Simplest Normal Forms of Differential Equations Associated with a Double-zero Eigenvalues '', Y. Yuan and P. Yu, Int. J. Bifurcations & Chaos, Vol. 11(5), (2001) 1307-1330.

`` The Simplest Normal Forms Associated with a Triple Zero Eigenvalue of Indices One and Two '', P. Yu and Y. Yuan , Nonlinear Analysis: Theory, Methods and Applications , Vol. 47, (2001) 1105-1116.

`` The Simplest Normal Form for the Singularity of a Pure Imaginary And a Zero Eigenvalue '', P. Yu and Y. Yuan , Dynamics of Continuous, Discrete and Impulsive Systems (DCDIS) , Vol. 8 (2) (2001) 219-249.