**5. Poincare' maps with phase-plane portraits**

The contact status of the follower is detected using Poincare' map at high and low speeds [14]. Moreover, the quantity of the black dots in Poincare' maps detects the

**Figure 6.** *Bifurcation diagram when the follower offsets to the right (O = 50 mm).*

*Nonlinear Dynamics Phenomenon in a Polydyne Cam with an Offset Flat Faced Follower… DOI: http://dx.doi.org/10.5772/intechopen.106179*

**Figure 7.**

*Local Lyapunov exponent when the follower offsets to the right (O = 10 mm) at cam speed (N = 200 rpm), coefficient of restitution (0.2), and follower guide's clearance (16 mm).*

## **Figure 8.**

*Phase portrait of chaotic attractor when the follower offsets to the left (O = 20 mm).*

chaotic analysis in follower movement when the follower has detached from the cam. The system in **Figure 8** has smooth orbit of follower displacement at (I.D. = 16 mm and 19 mm) when the follower offsets to the left (O = 20 mm) at diverse cam speeds.

**Figure 9.** *Poincare' maps of chaotic attractor when the follower offsets to the left (O = 20 mm).*

The follower displacement is repeated itself based on the single black dots in phaseplane orbit. The chaotic analysis is detected based on the multi black dots in phaseplane orbit at (I.D. = 16 mm and 19 mm) and diverse cam speeds as shown in **Figure 9**. SolidWorks software is used in the simulation.
