The Existence and Stability of Equilibrium Spikes for RD Systems in One-Dimension

description to be written; pictures and movies

• The Stability of Spike Solutions to the One-Dimensional Gierer-Meinhardt Model
  with D. Iron, J. Wei (Physica D, Vol. 150, (2001) pp. 25-62.)

• Asymmetric Spike Patterns for the One-Dimensional Gierer-Meinhardt Model: Equilibria and Stability
  with J. Wei (European J. Appl. Math., Vol. 13, No. 3, (2002), pp. 283-320.)

• Hopf Bifurcation and Oscillatory Instabilities of Spike Solutions for the One-Dimensional Gierer-Meinhardt Model
  with J. Wei (J. Nonlinear Science, Vol. 13, No. 2, (2003), pp. 209-264.)

• The Existence and Stability of Spike Equilibria in the One-Dimensional Gray-Scott Model: The Low Feed Rate Regime
  with T. Kolokolnikov and J. Wei (Studies in Appl. Math., Vol. 115, No. 1, (2005), pp. 21-71.)

• The Existence and Stability of Spike Equilibria in the One-Dimensional Gray-Scott Model: The Pulse-Splitting Regime
  with T. Kolokolnikov and J. Wei (Physica D, Vol. 202, No. 3-4, (2005), pp. 258-293.)

• Slow Translational Instabilities of Spike Patterns in the One-Dimensional Gray-Scott Model
  with T. Kolokolnikov and J. Wei (Interfaces and Free Boundaries, Vol. 8, No. 2, (2006), pp. 185-222.)