Triangulation, Modelling And Controlling Dynamical Systems: Theory And Applications

Krakowski, Krzysztof; Krakowski, Krzysztof

ISBN 10: 3639119703 / ISBN 13: 9783639119701

Editore: Vdm Verlag Dr. Müller, 2009

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104 pages. 8.66x5.91x0.24 inches. In Stock.

Codice articolo 3639119703

Dati bibliografici

• Titolo: Triangulation, Modelling And Controlling Dynamical Systems: Theory And Applications
• Editore: Vdm Verlag Dr. Müller
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3639119703
• ISBN 13: 9783639119701
• Rilegatura: Paperback
• Condizione: Brand New

Descrizione articolo

Riassunto

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.

L'autore

Krzysztof A. Krakowski, PhD in Mathematics from the University of Western Australia. Lecturer at the University of New England, Australia.