Introduction to the mathematics of change
Additional literature for the course
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Tutorials in Contemporary Nonlinear Methods for the Behavioural Sciences
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Section II (p.6): DYNAMIC PATTERN FORMATION IN PHYSICAL, BIOLOGICAL, AND COMPUTATIONAL SYSTEMS of Thelen, E., & Ulrich, B. D. (1991). Hidden skills: A dynamic systems analysis of treadmill stepping during the first year.
Time table for Day 1
| When | What | Topics | Notes |
|---|---|---|---|
| 09.15-10.15 | Introduction to Complexity Science | Dissipative systems, Self-Organization, SOC, Phase transition, Interaction Dominant Dynamics, Emergence, Synchronisation | Location: Aurora, Siltavuorenpenger 10, room 224 |
| 10.15-10:30 | Break | ||
| 10:30-11:30 | Introduction to the mathematics of change | Logistic Map, Return Plot, Attractors | |
| 11.30-12.15 | Assignments | Assignments can be made in a spreadsheet or R/JAMOVI | |
| 12.15-13.15 | Lunch | ||
| 13.15-14.00 | Basic Time Series Analysis | Auto Correlation Function, Sample Entropy, Relative Roughness | |
| 14.00-14.45 | Assignments | Assignments can be made in SPSS, R/JAMOVI | |
| 14:45-15.00 | Break | ||
| 15:00-15:45 | Detecting (nonlinear) structure in time series | Fractal Dimension, Detrended Fluctuation Analysis, Standardised Dispersion Analysis | Assignments are optional |