Abstract <p>The article examines bifurcation phenomena of equilibrium states in reaction-diffusion systems under conditions of multiple degeneracy in the linearized system. The study establishes criteria for multiple degeneracy and develops methodological approaches for investigating and bifurcation properties in the neighborhood of equilibrium points.</p>

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Multiple Turing Bifurcation in Reaction Diffusion System

  • R. I. Gabdrahmanov

摘要

Abstract

The article examines bifurcation phenomena of equilibrium states in reaction-diffusion systems under conditions of multiple degeneracy in the linearized system. The study establishes criteria for multiple degeneracy and develops methodological approaches for investigating and bifurcation properties in the neighborhood of equilibrium points.