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Fig. 2.19
Phase diagram and fixed points of a system exhibiting pitchfork bifurcations.
Converg-
ing arrows
denote a stable fixed point
Fig. 2.20
Pitchfork bifurcation diagram
one at x DC
p
which is stable, and one at x D
p
which is also stable. The
associated phase diagrams and fixed points are presented in Fig.
2.19
.
The bifurcations diagram is given next. The diagram shows how the fixed points
of the dynamical system vary with respect to the values of parameter . In the above
case it represents a parabola in the x plane as shown in Fig.
2.20
.
