Official websites use .gov
A
.gov website belongs to an official
government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you've safely
connected to the .gov website. Share sensitive
information only on official, secure websites.
Starting from the initial condition x0 = (1,1.2,1.5) the orbit tends to a stable limit cycle. With x0 = (0.99,1.2,0.7) the orbit tends to the equilibrium point P0 = (1,1.2,1). Since the equilibrium point and the periodic orbit are stables, there is an unstable limit cycle in the central manifold.
