Lorenz Equations

Citation
Lorenz EN (1963) Deterministic nonperiodic flow. Journal of the Atmospheric Sciences, 20:130-141. http://ams.allenpress.com/amsonline
Description
This file implements the Lorenz equations as a set of reactions.
Rate constant       Reaction
r*x[t] - y[t] - x[t]*z[t] EmptySet -> y
x[t]*y[t] - b*z[t] EmptySet -> z
sigma*(-x[t] + y[t]) EmptySet -> x
Variable IC   ODE
x 0 x'[t] == sigma*(-x[t] + y[t])
y 1 y'[t] == r*x[t] - y[t] - x[t]*z[t]
z 0 z'[t] == x[t]*y[t] - b*z[t]
Time Course Simulation
Simulated Phase Space Projection on x- y plane
Simulated Phase Space Projection on z- x plane
Simulated Phase Space Projection on y- z plane
Generated by Cellerator Version 1.0 update 3.0217 using Mathematica 4.2 for Mac OS X (June 4, 2002), February 24, 2003 10:45:37