High-Dimensional Chaotic and Attractor Systems

Tijana T. Ivancevic

ISBN 10: 1402054556 / ISBN 13: 9781402054556

Published by Springer Netherlands, Springer Netherlands Dez 2006, 2006

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 712 pp. Englisch.

Seller Inventory # 9781402054556

Bibliographic Details

• Title: High-Dimensional Chaotic and Attractor Systems
• Publisher: Springer Netherlands, Springer Netherlands Dez 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 1402054556
• ISBN 13: 9781402054556
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 44D millimeters 241 millimeters width by 160 millimeters height by 44 millimeters depth
• Weight: 1221 grams

About this title

Synopsis

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.

Review

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)