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˜A œfirst course in chaotic dynamical systems : theory and experiment / par Devaney,, Robert L., Publication : Reading, Mass. : Addison-Wesley, 1992 . xi, 302 p. : 24 cm. Date : 1992 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Capture dynamics and chaotic motions in celestial mechanics : with applications to the construction of low energy transfers / par Belbruno,, Edward, Publication : Princeton : Princeton University Press, 2004 . xvii, 211 p. : 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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),

Chaos and fractals : new frontiers of science / par Peitgen,, Heinz-Otto, Publication : New York : Springer, 2004 . xiii, 864 p. : 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Chaos and life : complexity and order in evolution and thought / par Bird,, R. J. Publication : New York : Columbia University Press, 2003 . x, 322 p. : 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Chaos in atomic physics / par BlŁumel,, R. Publication : Cambridge, U.K. ; | New York, NY, USA : Cambridge University Press, 1997 . xv, 326 p. : 26 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Chaos, scattering and statistical mechanics / par Gaspard,, Pierre. Publication : [S.l.] : Cambridge University Press, 2005 . 496 p. ; , BrochØ. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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),

Coexistence and persistence of strange attractors par Pumariño, Antonio, Publication : Berlin | New York Springer 1997 . viii, 194 pages 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Differential equations, dynamical systems, and an introduction to chaos, second edition / par Devaney,, Robert. Publication : [S.l.] : Academic Press, 2003 . 425 p. ; , Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of the Field's Medal for his work in dynamical systems. * Developed by award-winning researchers and authors * Provides a rigorous yet accessible introduction to differential equations and dynamical systems * Includes bifurcation theory throughout * Contains numerous explorations for students to embark upon NEW IN THIS EDITION * New contemporary material and updated applications * Revisions throughout the text, including simplification of many theorem hypotheses * Many new figures and illustrations * Simplified treatment of linear algebra * Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor * Increased coverage of discrete dynamical systems. 23 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Global Transversality, Resonance And Chaotic Dynamics par Luo,, Albert C J. Publication : [S.l.] World Scientific Publishing Company, 2008 . 460 p. , This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n-dimensional nonlinear dynamic systems. The methodology and techniques presented in this book are applicable to nonlinear dynamical systems in general. This book provides useful tools for analytical and numerical predictions of chaos in nonlinear Hamiltonian and dissipative systems. All theoretical results are strictly proved. However, the ideas presented in this book are less formal and rigorous in an informal and lively manner. The author hopes the initial ideas may give some inspirations in the field of nonlinear dynamics. With physical concepts, the author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in nonlinear dynamics. Contents: Differential Geometry of Flows; Global Transversality in Continuous Dynamical Systems; Chaotic Layer Dynamics; Two-Dimensional Stochastic Layers; Stochasticity in Resonant Separatrix Layers; Nonlinear Dynamics on an Equi-energy Surface; Stability and Grazing in Dissipative Systems; Global Dynamics in Two-Dimensional Dynamical Systems; Flow Switchability in Discontinuous Dynamical Systems. 23 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Hamiltonian chaos and fractional dynamics par Zaslavsky, George M. Publication : [S.l.] Oxford University Press, USA 2005 . 421 p. , The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of today's literature on chaos. The intention of the author has been to put together some of the most complex and yet open problems on the general theory of chaotic systems. The importance of the discussed issues and an understanding of their origin should inspire students and researchers to touch upon some of the deepest aspects of nonlinear dynamics. The book considers the basic principles of the Hamiltonian theory of chaos and some applications including for example, the cooling of particles and signals, control and erasing of chaos, polynomial complexity, Maxwell's Demon, and others. It presents a new and realistic image of the origin of dynamical chaos and randomness. An understanding of the origin of randomness in dynamical systems, which cannot be of the same origin as chaos, provides new insights in the diverse fields of physics, biology, chemistry, and engineering. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Hamiltonian systems : chaos and quantization par De Almeida, Alfredo M. Ozorio. Publication : Cambridge Cambridge University Press 1988 . ix, 238 pages , Translated from Portuguese. 23 cm. Date : 1988 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Perspectives of nonlinear dynamics par Jackson, E. Atlee Publication : Cambridge [Cambridgeshire] New York | Cambridge University Press 1989 . 2 volumesill. 26 cm. Date : 1989 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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