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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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The Parameterization Method for Invariant Manifolds - From Rigorous Results to Effective Computations (Hardcover, 1st ed. 2016)
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The Parameterization Method for Invariant Manifolds - From Rigorous Results to Effective Computations (Hardcover, 1st ed. 2016)
Series: Applied Mathematical Sciences, 195
Expected to ship within 12 - 17 working days
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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.
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