software for continuation and bifurcation problems in ODE
AUTO can do a limited bifurcation analysis of algebraic systems
of the form
f(u,p) = 0, f,u in Rn
and of systems of ordinary differential equations of the form
u'(t) = f(u(t),p), f,u in Rn
subject to initial conditions, boundary conditions, and integral
constraints. Here p denotes one or more parameters. AUTO can also
do certain continuation and evolution computations for parabolic
PDEs. It also includes the software HOMCONT for the bifurcation
analysis of homoclinic orbits. AUTO is quite fast and can benefit
from multiple processors; therefore it is applicable to rather
large systems of differential equations.
