The Parameterization Method for Invariant Manifolds, Softcover reprint of the original 1st ed. 2016 From Rigorous Results to Effective Computations Applied Mathematical Sciences Series, Vol. 195

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.

Includes computational algorithms and practical details of implementation

Illustrates implementation of the parameterization method with 12 fully detailed examples throughout the book

Content covers theoretical and computational aspects of the paramerterization method

Access to codes available via webpage