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Chaos : concepts, control and constructive use par Bolotin, Yurii. Publication : [S.l.] Springer 2009 . 198 p. , The study of chaotic behaviour in nonlinear, dynamical systems is now a well established research domain with ramifications into all fields of sciences, spanning a vast range of applications, from celestial mechanics, via climate change, to the functioning of brownian motors in cells. A more recent discovery is that chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter itself for the system under investigation, stochastic resonance being a prime example. The present work is putting emphasis on the latter aspects, and after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing relevant algorithms for both Hamiltonian and dissipative systems amongst others.� The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance and a survey of ratchet models. This short and concise primer is particularly suitable for postgraduate students and non-specialist scientists from related areas, wishing to enter the field quickly and efficientl 25 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Chaotic vibrations : an introduction for applied scientists and engineers / par Moon,, Francis C. Publication : [S.l.] : Wiley-Interscience, 2004 . 309 p. ; , The book that brings order to chaos Fifteen years ago, Francis MoonЀ™s Chaotic Vibrations introduced, in practical language, the new ideas of nonlinear dynamics and chaos. Since then, the field has grown tremendously, and "chaos" has entered the vocabulary of not only physicists and mathematicians but also the general public. Researchers in nonlinear dynamics have broadened their scope to investigate ideas of complexity in natural and human-made systems, including networks in the brain, electric energy grids, and the Internet. With this paperback reissue of Professor MoonЀ™s classic, we hope to interest a new generation of readers intrigued by unpredictability in the laws of physics and its manifestation in the physical world in the form of chaotic dynamics. Written for engineers and applied scientists, Chaotic Vibrations gives specific examples and applications of chaotic dynamics in the physical world. It also describes how to perform both computer and physical experiments in chaotic dynamics. Topics covered include: Poincar‘̂ maps Fractal dimensions Lyapunov exponents Experiments in chaos Chaos in engineering Similar in its broad scope to James GleickЀ™s Chaos, only geared to a more technically curious reader, Chaotic Vibrations features an extensive guide to the literature, especially as it relates to more mathematically-oriented works; a glossary of nonlinear dynamics terms; a list of computer experiments; and details for a demonstration experiment on chaotic vibrations. This handy paperback version of Chaotic Vibrations arms engineers and researchers with the new tools of dynamical systems and prepares them to make their own contributions to this exciting and rapidly developing field. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Turbulence : an introduction for scientists and engineers / par Davidson,, P. A. Publication : [S.l.] : Oxford University Press, USA, 2004 . 678 p. ; , Based on a course by the author at the University of Cambridge, this comprehensive text on turbulence and fluid dynamics is aimed at year 4 undergraduates and graduates in applied mathematics, physics and engineering and provides an ideal reference for industry professionals and researchers. It bridges the gap between elementary accounts of turbulence found in undergraduate texts and more rigorous accounts given in monographs on the subject. Containing exercises and many examples, the author combines the maximum of physical insight with the minimum of mathematical detail where possible. The text is highly illustrated throughout, and includes color plates; all required mathematical techniques are covered in extensive appendices. The text is divided into three parts: Part I consists of a traditional introduction to the classical aspects of turbulence, the nature of turbulence, and the equations of fluid mechanics. Mathematics is kept to a minimum, presupposing only an elementary knowledge of fluid mechanics and statistics. Part II tackles the problem of homogeneous turbulence with a focus on numerical methods. Part III covers certain special topics rarely discussed in introductory texts. Many geophysical and astrophysical flows are dominated by the effects of body forces, such as buoyancy, Coriolis and Lorentz forces. Moreover, certain large-scale flows are approximately two-dimensional and this has led to a concerted investigation of two-dimensional turbulence over the last few years. Both the influence of body forces and two-dimensional turbulence are discussed. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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