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Parameterization Method for Invariant Manifolds
From Rigorous Results to Effective Computations
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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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