Recurrence plot: Difference between revisions

Revision as of 14:46, 6 September 2022

Revision as of 14:51, 6 September 2022

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In descriptive [[statistics]] and [[chaos theory]], a '''recurrence plot''' ('''RP''') is a plot showing, for each moment ''<math>i''</math> in time, the times at which the state of a [[dynamical system]] returns to the previous state at <math>i</math>,
i.e., when the [[phase space]] trajectory visits roughly the same area in the phase space as at time ''<math>j''</math>. In other words, it is a plot of

:<math>\vec{x}(i)\approx \vec{x}(j),</math>

showing <math>i</math> on a horizontal axis and <math>j</math> on a vertical axis, where <math>\vec{x}</math> is athe state of the system (or its phase space trajectory).

==Background==