Graphical Representation of Nonlinear Dynamics
DOI link for Graphical Representation of Nonlinear Dynamics
Graphical Representation of Nonlinear Dynamics book
This conclusion presents some closing thoughts on key concepts covered in the preceding chapters of this book. The survey of nonlinear dynamics began by examining the basic temporal contingencies in sequences of behavioral observations. A large number of subdisciplines of psychology, ranging from the analysis of neural activity to consideration of the complexities involved in cognitive and developmental processes, have also been covered. The autocorrelation function was frequently used in nonlinear data analysis procedures to generate nonredundant spatial representations of the dynamics. Phase diagrams and recurrence plots served as indispensable graphical tools for visualizing the qualitative complexity of experimental time series. Techniques such as detrending and the application of the adaptive Kalman filter can both ensure stationarity and allow the detection of departures from stationarity. A proposed mathematical model for information processing used both the control of chaos idea and novelty sensitivity to provide a general representation of performance in cognitive tasks.