Recurrence Plot for Nonlinear Time Series in Python, R, Julia and JavaScript

Source code in 15 libraries — Python: Altair, Bokeh, lets-plot, Matplotlib, Plotly, plotnine, Pygal, Seaborn; R: ggplot2; Julia: Makie.jl; JavaScript: Chart.js, D3.js, Apache ECharts, Highcharts, MUI X Charts.

A recurrence plot is a binary or distance-based matrix visualization that reveals when states in a dynamical system recur over time. Both axes represent time indices, and a point is plotted at position (i, j) when the system state at time i is sufficiently similar to the state at time j (distance below a threshold). The resulting symmetric matrix exposes hidden structure in complex, nonlinear dynamics — diagonal lines indicate determinism, vertical/horizontal lines reveal laminar states, and block structures signal regime changes.

Renders

• Full-resolution render, light theme
• Full-resolution render, dark theme
• Interactive version, light theme
• Interactive version, dark theme

Preview render from the D3.js implementation.

Implementations

• Recurrence Plot for Nonlinear Time Series in Altair (Python)
• Recurrence Plot for Nonlinear Time Series in Bokeh (Python)
• Recurrence Plot for Nonlinear Time Series in lets-plot (Python)
• Recurrence Plot for Nonlinear Time Series in Matplotlib (Python)
• Recurrence Plot for Nonlinear Time Series in Plotly (Python)
• Recurrence Plot for Nonlinear Time Series in plotnine (Python)
• Recurrence Plot for Nonlinear Time Series in Pygal (Python)
• Recurrence Plot for Nonlinear Time Series in Seaborn (Python)
• Recurrence Plot for Nonlinear Time Series in ggplot2 (R)
• Recurrence Plot for Nonlinear Time Series in Makie.jl (Julia)
• Recurrence Plot for Nonlinear Time Series in Chart.js (JavaScript)
• Recurrence Plot for Nonlinear Time Series in D3.js (JavaScript)
• Recurrence Plot for Nonlinear Time Series in Apache ECharts (JavaScript)
• Recurrence Plot for Nonlinear Time Series in Highcharts (JavaScript)
• Recurrence Plot for Nonlinear Time Series in MUI X Charts (JavaScript)