A geometric blow-up method for PDEs is used to rigorously prove exponential tracking of slow manifolds during slow passage through transcritical and pitchfork bifurcations on the real line.
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Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up
A geometric blow-up method for PDEs is used to rigorously prove exponential tracking of slow manifolds during slow passage through transcritical and pitchfork bifurcations on the real line.