Nonlinear Dynamical Systems And Carleman Linearization

By: Krzysztof Kowalski, Willi-Hans Steeb

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Hardcover | 1 March 1991

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Hardcover
192 Pages

Dimensions(cm)
22.86 x 16.51 x 1.91

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The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems. Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications. It also includes a review of existing alternative methods for linearization of nonlinear dynamical systems. There are probably no books covering such a wide spectrum of linearization algorithms. This book also gives a comprehensive introduction to the Kronecker product of matrices, whereas most books deal with it only superficially. The Kronecker product of matrices plays an important role in mathematics and in applications found in theoretical physics.

Industry Reviews

"... the present book is a very specific and interesting one X it should be particularly suitable for physicists, applied mathematicians, and engineers ... The book is well organized and almost self-contained ... The authors are to be commended for providing valuable insight into a beautiful and, up to now, mysterious subject: how to linearize a given nonlinear dynamical system." A K Prykarpat.ski ~ Mathematical Reviews

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