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000754990 019__ $$a947837371$$a950462998
000754990 020__ $$a9783319296623$$q(electronic book)
000754990 020__ $$a3319296620$$q(electronic book)
000754990 020__ $$z9783319296609
000754990 0247_ $$a10.1007/978-3-319-29662-3$$2doi
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000754990 08204 $$a515/.39$$223
000754990 24504 $$aThe parameterization method for invariant manifolds$$h[electronic resource] :$$bfrom rigorous results to effective computations /$$cÁlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo.
000754990 264_1 $$aSwitzerland :$$bSpringer,$$c2016.
000754990 300__ $$a1 online resource (xvi, 267 pages) :$$billustrations.
000754990 336__ $$atext$$btxt$$2rdacontent
000754990 337__ $$acomputer$$bc$$2rdamedia
000754990 338__ $$aonline resource$$bcr$$2rdacarrier
000754990 4901_ $$aApplied mathematical sciences,$$x0066-5452 ;$$vvolume 195
000754990 504__ $$aIncludes bibliographical references and index.
000754990 5050_ $$aAn Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori.
000754990 506__ $$aAccess limited to authorized users.
000754990 520__ $$aThis 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.
000754990 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 26, 2016).
000754990 650_0 $$aInvariant manifolds.
000754990 7001_ $$aHaro, A.$$q(Alex),$$d1969-$$eauthor.
000754990 7001_ $$aCanadell, Marta,$$eauthor.
000754990 7001_ $$aFigueras, Jordi-Lluis,$$eauthor.
000754990 7001_ $$aLuque, Alejandro,$$eauthor.
000754990 7001_ $$aMondelo, Josep Maria,$$eauthor.
000754990 77608 $$iPrint version:$$z9783319296609
000754990 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv.195.
000754990 852__ $$bebk
000754990 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-29662-3$$zOnline Access$$91397441.1
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