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Field name	Details
Title	Invariant Manifolds in Discrete and Continuous Dynamical Systems ([EBook] /) / Kaspar Nipp, Daniel Stoffer
Author	Nipp, Kaspar
Added Personal Name	Stoffer, Daniel
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2013
Physical Details	1 online resource (225 pages)
Series	EMS Tracts in Mathematics (ETM) ; 21
ISBN	9783037196243
Summary Note	In this book dynamical systems are investigated from a geometric viewpoint. Admitting an invariant manifold is a strong geometric property of a dynamical system. This text presents rigorous results on invariant manifolds and gives examples of possible applications. In the first part discrete dynamical systems in Banach spaces are considered. Results on the existence and smoothness of attractive and repulsive invariant manifolds are derived. In addition, perturbations and approximations of the manifolds and the foliation of the adjacent space are treated. In the second part analogous results for continuous dynamical systems in finite dimensions are established. In the third part the theory developed is applied to problems in numerical analysis and to singularly perturbed systems of ordinary differential equations. The mathematical approach is based on the so-called graph transform, already used by Hadamard in 1901. The aim is to establish invariant manifold results in a simple setting providing quantitative estimates. The book is targeted at researchers in the field of dynamical systems interested in precise theorems easy to apply. The application part might also serve as an underlying text for a student seminar in mathematics.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/124
See Also	https://www.ems-ph.org/img/books/nipp_mini.jpg
Links to Related Works	Subject References: Calculus & mathematical analysis . Dynamical systems and ergodic theory . Numerical Analysis . Ordinary differential equations . Authors: author . Nipp, Kaspar . Stoffer, Daniel . Series: EMS Tracts in Mathematics (ETM) .

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Invariant Manifolds in Discrete and Continuous Dynamical Systems

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