Poincaré plot
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A Poincaré plot, named after Henri Poincaré, is a type of recurrence plot used to quantify self-similarity in processes, usually periodic functions. It is also known as a return map.[1][2] Poincaré plots can be used to distinguish chaos from randomness by embedding a data set in a higher-dimensional state space.
It has been suggested that this article be merged with Poincaré map. (Discuss) Proposed since January 2024. |
Given a time series of the form
a return map in its simplest form first plots (xt, xt+1), then plots (xt+1, xt+2), then (xt+2, xt+3), and so on.