1. What is the reason for seeing curves going out on the right of the used position, velocity plot, and reentering from the left?

2. A periodic motion is much simpler than a chaotic one. What would one see if a periodic motion (e.g., a pendulum in vacuum) is sampled as above, that is points are taken with the period of the motion?

3. How would a periodic motion (e.g., a pendulum in vacuum) appear in the position, velocity plot as time goes on?

4. The structure within chaos is reflected by the appearance of a fractal pattern. Can any type of fractals (e.g., the one describing the coastline of an island) be related to chaos?

5. Can a predictable motion be associated with a fractal structure?

6. Can a motion associated with a fractal structure be periodic?