vbid/9781402054563

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.Typham this is the title: High-Dimensional Chaotic and Attractor Systems A Comprehensive Introduction