Quick thought...
...a simple c++ program that given a system of ordinary differential equations does the following:
a) Finds all fixed points and steady-states
b) Classifies stability and type of steady-state
c) Gives a plot of the phase-space given different initial conditions with..
d) ...the possibility of a uncertainity (or a distribution) of initial conditions, and the corresponding effect on the trajectories through phase space
This information will then be used to further develop a theory as to the genesis of patterns based upon interactions between elements, as well as, perhaps, information storage, transformation, and encoding within dynamical systems.
a) Finds all fixed points and steady-states
b) Classifies stability and type of steady-state
c) Gives a plot of the phase-space given different initial conditions with..
d) ...the possibility of a uncertainity (or a distribution) of initial conditions, and the corresponding effect on the trajectories through phase space
This information will then be used to further develop a theory as to the genesis of patterns based upon interactions between elements, as well as, perhaps, information storage, transformation, and encoding within dynamical systems.
posted by meta_darwinist at 11:34 PM
1 Comments:
ps...gives 2D, 3D, and 4D plots of phase space, and if the dimensionality is higher, then user-defined sub-spaces would be defined.
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