What would you like to understand?

The critical parameter value is approximately C* = 3.079. Below this value ($C < C$*), the differential equation has three equilibria.

Conditions: The differential equation is $dz/dt = 4z - z^3 + C$.; C* is the threshold where the number of real roots of $4z - z^3 + C = 0$ changes.

The critical parameter value is approximately C* = 3.079. Below this value ($C < C$*), the differential equation has three equilibria.

Conditions: The differential equation is $dz/dt = 4z - z^3 + C$.; C* is the threshold where the number of real roots of $4z - z^3 + C = 0$ changes.