Complexus mundi : emergent patterns in nature /

Complexus mundi : emergent patterns in nature /

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Bibliographic Details
Imprint:	Singapore ; Hackensack, N.J. : World Scientific, ©2006.
Description:	1 online resource (xi, 346 pages) : illustrations (some color)
Language:	English
Subject:	Fractals. Multifractals. Fractals. Multifractals. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11185975

Hidden Bibliographic Details
Other authors / contributors:	Novak, M. M. (Miroslav Michal), 1949-
ISBN:	9789812774217 9812774211 1281919357 9781281919359 9789812566669 981256666X
Digital file characteristics:	data file
Notes:	Includes bibliographical references and index. Print version record.
Summary:	This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of nanostructured materials and devices, or the control of chaotic systems and minimization of the forecast error for a given forecasting model (for example, artificial neural networks). Starting from a brief review of the history of variational calculus, the book discusses optimal control theory and global optimization using modern numerical techniques. Key elements of chaos theory and basics of fractional derivatives, which are useful in control and forecast of complex dynamical systems, are presented. The coverage includes several interdisciplinary problems to demonstrate the efficiency of the presented algorithms, and different methods of f.
Other form:	9789812566669 981256666X

Description
Summary:	The dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines.This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of complementary techniques, provides a unifying thread in this multidisciplinary endeavor. Do nonlinear interactions play a role in the complexity management of socio-econo-political systems? Is it possible to extract the global properties of genetic regulatory networks without knowing the details of individual genes? What can one learn by transplanting the self-organization effects known in laser processes to the study of emotions? What can the change in the level of complexity tell us about the physiological state of the organism? The reader will enjoy finding the answers to these questions and many more in this book.
Physical Description:	1 online resource (xi, 346 pages) : illustrations (some color)
Bibliography:	Includes bibliographical references and index.
ISBN:	9789812774217 9812774211 1281919357 9781281919359 9789812566669 981256666X