The Bifurcation of Two Invariant Closed Curves in a Discrete Model

Figure 3

The initial value is , (a) the bifurcation diagram in plane, it exhibits the dynamical behaviors of model (5), (b) , the equilibrium point is stable, (c) , one invariant closed curve emerges from the equilibrium point, and (d) the solution curve when , which shows that the invariant closed curve is not orbit of model (5).

(a)

(b)

(c)

(d)