Nonlinear Dynamics: Materials, Theory and Experiments Selected Lectu
This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids a
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Mustapha Tlidi Marcel G. Clerc Editors
Nonlinear Dynamics: Materials, Theory and Experiments Selected Lectures 3rd Dynamics Days South America 2014
Springer Proceedings in Physics Volume 173
More information about this series at http://www.springer.com/series/361
Mustapha Tlidi Marcel G. Clerc •
Editors
Nonlinear Dynamics: Materials, Theory and Experiments Selected Lectures, 3rd Dynamics Days South America, Valparaiso 3–7 November 2014
123
Editors Mustapha Tlidi Physique des systèmes dynamiques Université Libre de Bruxelles Brussels Belgium
ISSN 0930-8989 Springer Proceedings in Physics ISBN 978-3-319-24869-1 DOI 10.1007/978-3-319-24871-4
Marcel G. Clerc Facultad de Ciencias Físicas y Matemáticas Universidad de Chile Santiago Chile
ISSN 1867-4941
(electronic)
ISBN 978-3-319-24871-4
(eBook)
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Preface
Nonlinear dynamics in out equilibrium system has been appealing a great deal of attention for several decades due to their tremendous influence in many physical, chemical, biological, economical, ecological, and social processes. Many efforts in the past have focused on the understanding of complex behavior of low-dimensional system, characterization of primary, spatial, or temporal bifurcations, which generate dissipative structures that can be either periodic or localized in space or/and in time. In two-dimensional setting, regular patterns like stripes, hexagons, squares, and super lattices, and the understanding of the macroscopic particle type solutions. Prigogine and Lefever to describe the spontaneous appearance of periodic structures as a result of irreversible processes maintained by exchanges of matter and/or energy with a
