A Canonical Model of Multistability and Scale-Invariance in Biological Systems
Figure 3
Complete family of Hopf bifurcations.
A: The geometry of equation (1) for different values of the shape parameter λ. B: Corresponding roots of equation (1) (solid: stable; dashed: unstable). As the shape parameter λ increases, the bifurcations morph from supercritical (left) to subcritical (right). Exemplary values of bifurcation parameter β that yield different attractor landscapes are indicated in red (fixed point), blue (coexisting unstable and stable limit cycles) and green (stable limit cycle).