Quantifying Recurrences in State Space

Today’s Topics:

  • Unordered categorical time series:
    • (Cross-) Recurrence Quantification Analysis
  • Continuous time series:
    • Delay-embedding & Phase space reconstruction
    • Analysis of leader-follower behavior and coupling direction

Time table for Day 2

When What Topics Notes
09.15-10.15 Quantifying temporal patterns in unordered categorical time series data Categorical Auto-Recurrence Quantification Analysis (RQA)
10.15-10.30 Break
10:30-11:30 Assignments Categorical RQA, Surrogate analysis
11.30-12.15 Quantifying temporal patterns in continuous time series data Phase-space reconstruction, EWS of phase transitions
12.15-13.15 Lunch
13.15-14.00 Assignments Assignments can be made in R/JAMOVI
14.00-14.45 Cross-RQA of unordered categorical data
14:45-15.00 Break
15:00-15:45 Assignments Cross-RQA
Phase-space reconstruction Takens' theorem Delay Embedding Auto-RQA Coupled Systems EWS critical fluctuations period of destabilization Cross-RQA Diagonal recurrence profiles
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Last updated on 01-01-0001