High-dimensional Chaotic and Attractor Systems

Ivancevic, Vladimir G.; Ivancevic, Tijana T.

ISBN 10: 1402054556 / ISBN 13: 9781402054556

Verlag: Springer-Verlag New York Inc., 2006

Details prediction and control of high-dimensional chaotic and attractor systems of real life. This book provides a scientific tool that enables the actual performance of competitive research in high-dimensional chaotic and attractor dynamics. It deals with phase synchronization in high-dimensional chaotic systems. Series: Intelligent Systems, Control and Automation: Science and Engineering. Num Pages: 712 pages, biography. BIC Classification: PBWS. Category: (UU) Undergraduate. Dimension: 235 x 155 x 33. Weight in Grams: 1293. . 2006. Hardback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9781402054556

Inhaltsangabe:

If we try to describe real world in mathematical terms, we will see that real life is very often a high–dimensional chaos. Sometimes, by ‘pushing hard’, we manage to make order out of it; yet sometimes, we need simply to accept our life as it is. To be able to still live successfully, we need tounderstand, predict, and ultimately control this high–dimensional chaotic dynamics of life. This is the main theme of the present book. In our previous book, Geometrical - namics of Complex Systems, Vol. 31 in Springer book series Microprocessor– Based and Intelligent Systems Engineering, we developed the most powerful mathematical machinery to deal with high–dimensional nonlinear dynamics. In the present text, we consider the extreme cases of nonlinear dynamics, the high–dimensional chaotic and other attractor systems. Although they might look as examples of complete disorder – they still represent control systems, with their inputs, outputs, states, feedbacks, and stability. Today, we can see a number of nice books devoted to nonlinear dyn- ics and chaos theory (see our reference list). However, all these books are only undergraduate, introductory texts, that are concerned exclusively with oversimpli?ed low–dimensional chaos, thus providing only an inspiration for the readers to actually throw themselves into the real–life chaotic dynamics.

Críticas:

From the reviews:

"This is an ambitious book that ... is devoted to the understanding, prediction and control of high-dimensional chaotic and attractor systems in real life. ... Finally, and most usefully, the book has a substantial list of references (over 30 pages of them), meaning that the book can be used as a guide to literature in a diverse range of topics related to high- (and indeed low-) dimensional chaotic and nonlinear systems." (Peter Ashwin, Mathematical Reviews, Issue 2008 h)

Bibliografische Details

Titel: High-dimensional Chaotic and Attractor ...
Verlag: Springer-Verlag New York Inc.
Erscheinungsdatum: 2006
Einband: Hardcover
Zustand: New