Bifurcation analysis on a reactor model with combination of quadratic and cubic steps

摘要: In this paper we give a rigorous bifurcation analysis for reactor model with combination of quadratic and cubic steps. We extend the Satnoianu et al. in two directions. First, impose Dirichlet boundary conditions instead semi-infinite domain one space dimension. Second, consider variety different phenomena corresponding steady state system, focusing on their parametric sensitivity. show that system exhibits subcritical pitchfork bifurcation, supercritical transcritical regimes control parameters. To compare decades old work by Auchmuty al., spatial structures formed parameter p ∈ [0, 1] are richer than those purely step = 0 1 respectively.