J. Nonl. Mod. Anal., 7 (2025), pp. 1066-1083.
Published online: 2025-05
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This article presents a direct method for calculating the normal form coefficients of 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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1066}, url = {http://global-sci.org/intro/article_detail/jnma/24116.html} }This article presents a direct method for calculating the normal form coefficients of 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.