I am currently studying bifurcations in dynamical systems and have seen saddle-node, transcritical and pitchfork bifurcations. My question is can you have a system which has an 'eye-shaped' bifurcation diagram, where there are 2 saddle or pitchfork bifurcations opposite each other, i.e. 2 fixed points appear and then disappear; or 1 changes to 3 and back as a parameter $µ$ changes?
2026-03-27 04:22:50.1774585370
Are 'eye' bifurcations possible?
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