Alejandro Luque - Böcker

When Alejandro Luque is given a book of photographs of the Argentinian writer Jorge Luis Borges, he sets out with three friends to trace the great writer’s journey through Sicily.Discovering the locations of the original pictures, he begins to uncover the many stories that the island has to tell. In a narrative rich with historical details, Luque’s own observations are mingled with those of writers past and present.

This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples,  many of them well known in the literature of numerical computation in dynamical systems.  A public version of the software used for some of the examples is available online.The book is aimed at mathematicians, scientists and engineers interested in the theory and  applications of computational dynamical systems.