Symmetry-forced pitchfork bifurcation
= Symmetry-forced pitchfork bifurcation
Reflection symmetry $x\mapsto-x$ forces the reduced vector field to be odd in $x$, naturally producing paired nonzero equilibrium branches.
= Symmetry-forced pitchfork bifurcation
Reflection symmetry $x\mapsto-x$ forces the reduced vector field to be odd in $x$, naturally producing paired nonzero equilibrium branches.