The PIM-simplex method: an extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
The authors deal with the PIM-simplex method, which is a natural generalization of the PIM-triple method. Note that the PIM-triple method is a very good tool to obtain trajectories on saddles with one positive Lyapunov exponent. This paper is devoted to the cases when the PIM-triple method fails in saddles with several expanding directions and develop the modifications for new cases. Applications of the obtained results are discussed.
scientific article; zbMATH DE number 1374321