High-dimensional chaotic and attractor systems : a comprehensive introduction /
Saved in:
| Author / Creator: | Ivancevic, Vladimir G. |
|---|---|
| Imprint: | Dordrecht : Springer, c2007. |
| Description: | 1 online resource (xv, 700 p.) : ill. |
| Language: | English |
| Series: | International series on intelligent systems, control and automation--science and engineering ; v. 32 International series on intelligent systems, control and automation--science and engineering ; v. 32. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8880850 |
| Summary: | 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. |
|---|---|
| Physical Description: | 1 online resource (xv, 700 p.) : ill. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781402054556 1402054556 9781402054563 1402054564 |