چكيده فارسي :
We present new or improved methods to continue heteroclinic
and homoclinic orbits to fixed points in iterated maps and to compute
their fold bifurcation curves, corresponding to the tangency of the invariant
manifolds. To compute these orbits, first we need to compute transversal
intersection of two invariant stable and unstable manifolds. The proposed
methods are applicable to general n-dimensional maps and are implemented
in MATLAB. They are based on the continuation of invariant subspaces
(CIS) algorithm, which is presented in a novel way.
