Symmetry Breaking in Bifurcation Sets
In a dynamical system such as
- ,
which is structurally stable when, if a bifurcation diagram is plotted, treating as the bifurcation parameter, but for different values of, the case is the symmetric pitchfork bifurcation. When, we say we have a pitchfork with broken symmetry. This is illustrated in the animation on the right.
Read more about this topic: Bifurcation Diagram
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