Nonlinear dynamics is the study of classifications that are described by nonlinear equations of motion. Nonlinear Dynamics has been applied to Point Process Systems profitably. Such systems manifest themselves by Series of Events in space or time that are then assimilated to Point Processes, i.e. countable collections of points in continua. Arguments are illustrated here with univariate one-dimension Point Processes representing spike trains from nerve cells. These are described fully by their “timing”, i.e. the instants {… ti-1<ti<ti+1 …} when events occur.
Sub tracks:
Stable and unstable manifolds
Elementary bifurcations
Discrete time dynamics
Elementary bifurcations
Two-dimensional flows
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2nd Edition of Material Science Congress 