Environmental Engineering Reference
In-Depth Information
Fig. 19.6 Example windows of '
pplane.m
' (Polking
2004
) for the predator-prey model (see text)
editor. In the 'Solutions' there is the option to 'Show nullclines'. Nullclines are
curves along which only one of the two functions becomes zero. Under the 'Edit'
menu several options allow to erase unwanted graphical objects or to include text.
The 'Solver' options, under menu 'Options', may be relevant to obtain better
trajectories, especially closed orbits.
19.4 Chaos (Lorenz Attractor)
Finally, in this chapter we want to give a short impression of a more complex behavior
than shown in the previous sub-chapters. Even quite simple nonlinear systems may
show such behavior which we nowadays call
chaotic
in the scientific literature.
