• Juncheng Wei
  • Matthias Winter
Part of the Applied Mathematical Sciences book series (AMS, volume 189)


We introduce general two-component reaction-diffusion systems and Turing instability. Then we specialise on the Gierer-Meinhardt system for hydra. We discuss amplitude equations, order parameters and analytical methods for spiky patterns.


Pattern Formation Neumann Boundary Condition Amplitude Equation Turing Instability Homogeneous Steady State 
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Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  • Juncheng Wei
    • 1
  • Matthias Winter
    • 2
  1. 1.Department of MathematicsThe Chinese University of Hong KongHong KongChina
  2. 2.Department of Mathematical SciencesBrunel UniversityUxbridgeUK

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