A simple two-component reaction-diffusion system showing rich dynamic behavior: Spatially homogeneous aspects and selected bifurcation scenarios

Yumino Hayase, Orazio Descalzi, Helmut R. Brand

Research output: Contribution to conferencePaper

7 Scopus citations


We present a simple reaction-diffusion model for two variables. The model was originally designed to have a stable localized solution for a range of parameters as a consequence of the coexistence of a stable limit cycle and a stable fixed point. We classify the spatially homogeneous solutions of the model. In addition we describe several bifurcation scenarios for particle-like solutions as a function of two of the parameters.
Original languageAmerican English
Number of pages6
StatePublished - 1 Oct 2005
EventPhysica A: Statistical Mechanics and its Applications -
Duration: 1 Oct 2005 → …


ConferencePhysica A: Statistical Mechanics and its Applications
Period1/10/05 → …


  • Limit cycles
  • Localized solutions
  • Particle solutions
  • Reaction-diffusion systems

Cite this