Triangulation, Modelling and Controlling Dynamical Systems: Theory and Applications - Softcover

Krakowski, Krzysztof

Softcover

ISBN 10: 3639119703 ISBN 13: 9783639119701

Publisher: VDM Verlag Dr. Müller, 2009

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.

About this title

About the Author

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

Edition details

• Publisher: VDM Verlag Dr. Müller
• Publication date: 2009
• Language: English
• ISBN 10: 3639119703
• ISBN 13: 9783639119701
• Binding: Paperback
• Number of pages: 104