The user specifies and modifies the differential equations interactively and determines the allocation of variables of the differential equations to coordinate axes of the 2D or 3D plot. One or more trajectories are either displayed as point sets or polylines. Up to three windows may be defined simultaneously. Geometric operations include rotation, translation, scaling and zooming. Parameters of the differential equations, initial points of the trajectories and number of points to be displayed are all definable by the user.
Bifurcation diagrams illustrate the long term behavior of a whole class of systems.
One parameter of the set of defining equations is taken as bifurcation parameter and is varied along the horizontal axis. On the vertical axis the long term behavior of one of the state variables is plotted. A simple analysis of 2D and 3D time series is possible in ESA as well. Several different systems and several windows of the same system can be investigated simultaneously.