| | | | | | 2.2.10— Overview of the Phase Space Analysis | | | | | | | | | Measure a sequence of values in time. | | | | | | | | | Turn the time series into an object in space. This procedure is called an embedding. The space is called the phase space. The object is called the phase space set. | | | | | | | | | Determine the fractal dimension of the phase space set. | | | | | | | | | If the fractal dimension of the phase space set is large, then the mechanism that generated the data is a random mechanism that is based on chance. | | | | | | | | | If the fractal dimension of the phase space set is small, then the mechanism that generated the data is deterministic. | | | | | | | | | If the mechanism that generated the data is deterministic, but the time series mimics that produced by a random process, then the system is said to be ''chaotic." | | | | |