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Hopf/Steady State Mode Interactions

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

Abstract

We study in this chapter Hopf/steady state mode interactions of the reaction-diffusion equation (math) with u ≔ (u1, u2) and
$$ \frac{{\partial u}}{{\partial t}} = G\left( {u,\lambda ,d} \right) $$
(13.1a)
on square domains Q with the homogeneous Dirichlet boundary conditions
$$G\left( {u,\lambda ,d} \right): = \left( {\begin{array}{*{20}{c}}{\Delta {u_1} + {f_1}\left( {u,\lambda } \right)} \\{d\Delta {u_2} + {f_2}\left( {u,\lambda } \right)} \\\end{array}} \right) $$
(13.1b)

Keywords

Normal Form Hopf Bifurcation Center Manifold Solution Branch Simple Eigenvalue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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