Stability of Travelling Waves in the Belousov-Zhabotinskii Reaction

  • David A. Kessler
  • Herbert Levine
Part of the NATO ASI Series book series (NSSB, volume 225)


As we have seen in Dr. Müller’s talk, the Belousov-Zhabotinskii (BZ) reaction leads to a rich variety of non-equilibrium spatial structures and serves as a paradigm for pattern formation in excitable media1. In this talk, we will focus on the simplest such pattern, the planar travelling wave, in which regions of excited and quiescent reagents move uniformly through space (Fig. 1). Understanding this structure is a necessary first step towards a complete picture of more complex structures such as the target2, the rotating spiral3 or, in three dimensions, the scroll4. This is particularly true as these patterns far from their centers asymptotically approximate planar travelling waves.


Hopf Bifurcation Travel Wave Solution Real Mode Quasistatic Approximation Spatial Instability 
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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • David A. Kessler
    • 1
  • Herbert Levine
    • 2
  1. 1.Physics DepartmentUniversity of MichiganAnn ArborUSA
  2. 2.Department of Physics and Institute for Nonlinear ScienceUniversity of CaliforniaSan Diego La JollaUSA

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