Improving the Complexity of the Lorenz Dynamics

Figure 19

Poincaré sections of the system for different and values. Red color indicates that the flow crosses the cut plane in the sense of the normal vector. Blue color indicates that the flow crosses in the opposite sense. (a) Weak chaos with initial conditions: and . (b) Chaos with initial conditions: and . (c) Hyperchaos with initial conditions: and .

(a)

(b)

(c)