{
  "name": "Recurrence Quantification Analysis Metric Signatures Across Dynamical Regimes",
  "description": "Empirical benchmark comparison of canonical recurrence quantification analysis (RQA) metrics across six simulated mathematical regimes, compiled from standardized dynamics literature.",
  "page": "https://casrai.org/guides/recurrence-quantification-analysis",
  "publisher": "CASRAI",
  "license": "https://creativecommons.org/licenses/by/4.0/",
  "dateModified": "2026-11-14T15:51:51Z",
  "temporalCoverage": "1987/2026",
  "spatialCoverage": "Global",
  "columns": [
    {
      "name": "Dynamical Regime",
      "unit": "",
      "description": "Mathematical simulation model or dynamical process"
    },
    {
      "name": "System Type",
      "unit": "",
      "description": "Deterministic, stochastic, or intermittent classification"
    },
    {
      "name": "Recurrence Rate (RR)",
      "unit": "%",
      "description": "Percentage of recurrence points in the recurrence matrix"
    },
    {
      "name": "Determinism (DET)",
      "unit": "%",
      "description": "Percentage of recurrence points forming diagonal lines of length >= 2"
    },
    {
      "name": "Laminarity (LAM)",
      "unit": "%",
      "description": "Percentage of recurrence points forming vertical lines of length >= 2"
    },
    {
      "name": "Trapping Time (TT)",
      "unit": "time steps",
      "description": "Average length of vertical line structures"
    },
    {
      "name": "Shannon Entropy (ENTR)",
      "unit": "nats",
      "description": "Complexity of diagonal line length probability distribution"
    },
    {
      "name": "Max Diagonal Length (L_max)",
      "unit": "time steps",
      "description": "Length of longest diagonal line excluding LOI"
    }
  ],
  "rows": [
    {
      "Dynamical Regime": "Gaussian White Noise",
      "System Type": "Stochastic Uncorrelated",
      "Recurrence Rate (RR)": 2,
      "Determinism (DET)": 4.2,
      "Laminarity (LAM)": 1.1,
      "Trapping Time (TT)": 2,
      "Shannon Entropy (ENTR)": 0.35,
      "Max Diagonal Length (L_max)": 3
    },
    {
      "Dynamical Regime": "Periodic Harmonic Oscillator (Sine Wave)",
      "System Type": "Deterministic Regular Periodic",
      "Recurrence Rate (RR)": 5,
      "Determinism (DET)": 99.8,
      "Laminarity (LAM)": 0,
      "Trapping Time (TT)": 0,
      "Shannon Entropy (ENTR)": 0.12,
      "Max Diagonal Length (L_max)": 450
    },
    {
      "Dynamical Regime": "Lorenz Attractor (Chaotic Regime)",
      "System Type": "Deterministic Chaotic",
      "Recurrence Rate (RR)": 4,
      "Determinism (DET)": 88.5,
      "Laminarity (LAM)": 12.3,
      "Trapping Time (TT)": 3.2,
      "Shannon Entropy (ENTR)": 2.84,
      "Max Diagonal Length (L_max)": 85
    },
    {
      "Dynamical Regime": "Henon Map (Dissipative Chaotic)",
      "System Type": "Discrete Deterministic Chaotic",
      "Recurrence Rate (RR)": 3.5,
      "Determinism (DET)": 78.4,
      "Laminarity (LAM)": 8.7,
      "Trapping Time (TT)": 2.8,
      "Shannon Entropy (ENTR)": 2.31,
      "Max Diagonal Length (L_max)": 42
    },
    {
      "Dynamical Regime": "Logistic Map (Intermittent Regime r=3.8284)",
      "System Type": "Deterministic Intermittent",
      "Recurrence Rate (RR)": 4.5,
      "Determinism (DET)": 92.1,
      "Laminarity (LAM)": 74.6,
      "Trapping Time (TT)": 14.8,
      "Shannon Entropy (ENTR)": 3.15,
      "Max Diagonal Length (L_max)": 120
    },
    {
      "Dynamical Regime": "Autoregressive AR(1) Process (phi=0.8)",
      "System Type": "Stochastic Correlated",
      "Recurrence Rate (RR)": 3,
      "Determinism (DET)": 31.4,
      "Laminarity (LAM)": 18.2,
      "Trapping Time (TT)": 2.5,
      "Shannon Entropy (ENTR)": 1.18,
      "Max Diagonal Length (L_max)": 12
    }
  ],
  "sources": [
    {
      "title": "Recurrence plots for the analysis of complex systems (Physics Reports 2007)",
      "url": "https://doi.org/10.1016/j.physrep.2006.11.001",
      "accessed": "2026-11-14"
    },
    {
      "title": "Dynamical assessment of physiological systems using recurrence plots (J Appl Physiol 1994)",
      "url": "https://doi.org/10.1152/jappl.1994.76.2.965",
      "accessed": "2026-11-14"
    },
    {
      "title": "Recurrence-plot-based measures of complexity (Physical Review E 2002)",
      "url": "https://doi.org/10.1103/PhysRevE.66.026702",
      "accessed": "2026-11-14"
    }
  ]
}