ABSTRACT

Essentials of Nonlinear Dynamics ........................................................................3 Attractors and Stability .....................................................................................4 Bifurcations .........................................................................................................4 Chaos and Turbulence .......................................................................................5 Fractals .................................................................................................................5 Self-Organization and Emergence ...................................................................6 ComplexAdaptive Systems ..............................................................................7 Catastrophes ........................................................................................................7

Three Traditions of Analysis ..................................................................................8 Elements of Nonlinear Time Series Analysis .................................................9 Traditional NDS Indicators and Graphic Techniques ................................. 10 Statistically Driven Techniques ...................................................................... 11 Markov Processes and Symbolic Dynamics ................................................. 12 Broad Issues ...................................................................................................... 13

References ............................................................................................................... 14

Robert A.M. Gregson and Stephen J. Guastello