TY  - GEN
N2  - 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.
DO  - 10.1007/978-3-319-29662-3
DO  - doi
AB  - 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.
T1  - The parameterization method for invariant manifoldsfrom rigorous results to effective computations /
AU  - Haro, A.
AU  - Canadell, Marta,
AU  - Figueras, Jordi-Lluis,
AU  - Luque, Alejandro,
AU  - Mondelo, Josep Maria,
VL  - volume 195
CN  - QA613
ID  - 754990
KW  - Invariant manifolds.
SN  - 9783319296623
SN  - 3319296620
TI  - The parameterization method for invariant manifoldsfrom rigorous results to effective computations /
LK  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-29662-3
UR  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-29662-3
ER  -