Triangulation, Modelling and Controlling Dynamical Systems : Theory and Applications

ISBN-13: 9783639119701 / Angielski / Miękka / 2009 / 104 str.

Krzysztof Krakowski

Opis

Chaos attracted attention of scientists for centuriesbut not until recently we started to understand it. We encounterchaotic systems in our everyday lives, from washing machines to thestock market. They seem to be random but in fact they are dynamicalsystems very sensitive to changes. This book describes atriangulation method to study and to model dynamical systems derived fromobserved data. The idea of the triangulation method is to constructa 'net' of simplices, geometrical objects like triangles andtetrahedra that connect data points. This natural grid is then usedto approximate an unknown system by a piecewise linear interpolation.Within this simplicial framework it is shown how to find a fixedpoint of the interpolated system. Examples with a computersoftware illustrate how to reconstruct control a dynamical system in aneighbourhood of its fixed point.

O autorze

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