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Synopsis
Chaos attracted attention of scientists for centuries but not until recently we started to understand it. We encounter chaotic systems in our everyday lives, from washing machines to the stock market. They seem to be random but in fact they are dynamical systems very sensitive to changes. This book describes a triangulation method to study and to model dynamical systems derived from observed data. The idea of the triangulation method is to construct a 'net' of simplices, geometrical objects like triangles and tetrahedra that connect data points. This natural grid is then used to approximate an unknown system by a piecewise linear interpolation. Within this simplicial framework it is shown how to find a fixed point of the interpolated system. Examples with a computer software illustrate how to reconstruct control a dynamical system in a neighbourhood of its fixed point.
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Présentation de l'éditeur
Chaos attracted attention of scientists for centuries but not until recently we started to understand it. We encounter chaotic systems in our everyday lives, from washing machines to the stock market. They seem to be random but in fact they are dynamical systems very sensitive to changes. This book describes a triangulation method to study and to model dynamical systems derived from observed data. The idea of the triangulation method is to construct a 'net' of simplices, geometrical objects like triangles and tetrahedra that connect data points. This natural grid is then used to approximate an unknown system by a piecewise linear interpolation. Within this simplicial framework it is shown how to find a fixed point of the interpolated system. Examples with a computer software illustrate how to reconstruct control a dynamical system in a neighbourhood of its fixed point.
Biographie de l'auteur
Krzysztof A. Krakowski, PhD in Mathematics from the University of Western Australia. Lecturer at the University of New England, Australia.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurVDM Verlag Dr. Müller
- Date d'édition2009
- ISBN 10 3639119703
- ISBN 13 9783639119701
- ReliureBroché
- Langueanglais
- Nombre de pages104
- Coordonnées du fabricantnon disponible
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Triangulation, Modelling and Controlling DynamicalSystems
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VDM Verlag Dr. Müller, 2009
ISBN 10 : 3639119703
ISBN 13 : 9783639119701
Neuf
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Krakowski KrzysztofKrzysztof A. Krakowski, PhD in Mathematics from the University ofnWestern Australia. nLecturer at the University of New England, Australia.Chaos attracted attention of scientists for centuriesbut not until rec. N° de réf. du vendeur 4959210
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Triangulation, Modelling And Controlling Dynamical Systems: Theory And Applications
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Paperback. Etat : Brand New. 104 pages. 8.66x5.91x0.24 inches. In Stock. N° de réf. du vendeur __3639119703
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