Hopf/Steady State Mode Interactions

  • Zhen Mei
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 28)


We study in this chapter Hopf/steady state mode interactions of the reaction-diffusion equation (math) with u ≔ (u1, u2) and
$$ \frac{{\partial u}}{{\partial t}} = G\left( {u,\lambda ,d} \right) $$
on square domains Q with the homogeneous Dirichlet boundary conditions
$$G\left( {u,\lambda ,d} \right): = \left( {\begin{array}{*{20}{c}}{\Delta {u_1} + {f_1}\left( {u,\lambda } \right)} \\{d\Delta {u_2} + {f_2}\left( {u,\lambda } \right)} \\\end{array}} \right) $$


Normal Form Hopf Bifurcation Center Manifold Solution Branch Simple Eigenvalue 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Zhen Mei
    • 1
  1. 1.Department of MathematicsUniversity of MarburgMarburgGermany

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