High-Dimensional Chaotic and Attractor Systems: A Comprehensive Introduction 2007 Edition Contributor(s): Ivancevic, Vladimir G. (Author), Ivancevic, Tijana T. (Author) |
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ISBN: 1402054556 ISBN-13: 9781402054556 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: December 2006 |
Additional Information |
BISAC Categories: - Mathematics | Applied - Science | Physics - Mathematical & Computational - Science | Physics - General |
Dewey: 531.11 |
LCCN: 2007416643 |
Series: Intelligent Systems, Control, and Automation: Science and Engineering |
Physical Information: 1.3" H x 6.2" W x 9.5" (2.85 lbs) 697 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |