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Normal Form for the 1:1 Resonance Problems for Delayed Reaction-Diffusion Systems |
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KeyWord:Normal form, 1:1 resonance, Hopf bifurcation, delayed reaction-diffusion |
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Abstract: |
This article presents a direct method for calculating the normal form coefficients of \textcolor{red}{a 1:1} resonant Hopf bifurcation in reaction-diffusion systems with time delay and Neumann boundary conditions. The formulas obtained in this paper can be easily implemented using a computer algebra system such as Maple or Mathematica. |