Smooth Schur factorizations in the continuation of separatrices
Numerical computation of separatrices as general connecting orbits in dynamical systems is performed, and their continuation as problem parameters vary is approached via a direct application of smooth block Schur factorizations of Jacobians and monodromy matrix functions. Several numerical examples are presented to illustrate the effectiveness of the algorithms used.
Rebaza, Jorge. "Smooth Schur factorizations in the continuation of separatrices." Linear algebra and its applications 421, no. 1 (2007): 138-156.
Linear algebra and its applications