Bifurcation Diagrams: Saddle-Node, Pitchfork, Hopf & Cusp
View:
Saddle-Node: ẋ=r+x²
Pitchfork: ẋ=rx−x³
Hopf: ṙ=(μ−r²)r
Cusp Catastrophe: ẋ=a+bx−x³
Logistic: xₙ₊₁=rx(1-x)
Parameter b (cusp only):
0.0
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Bifurcation Diagram
Phase Line / Potential
Time Evolution (selected r)