Recurrence plot: Difference between revisions

Revision as of 22:56, 12 August 2021

Revision as of 15:08, 3 November 2021

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Operationally the plot is drawn as follows:

(a) A certain time window <math>\vec{w} = <\left \langle t_1, t_2, ..., t_T> \right \rangle</math> is chosen where any two successive time steps are separated by the time interval <math>\delta</math>, and where the state <math>\vec{x}(t) </math> of the system is recorded for each time step, thus collecting the trajectory <math> \mathbf{X} = <\left\langle \vec{x}(t_1), \vec{x}(t_2), ..., \vec{x}(t_T)>\right\rangle </math>.

(b) A 2D plot is created where the x-axis and y-axis both report <math>\vec{w}</math>, forming a <math>T \times T</math> lattice of little squares each with side measuring <math>\delta</math>