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- Princeton University Press 2015; US$ 45.00
John Mather?s seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach?known as Aubry-Mather theory?singles out the existence of special orbits and invariant measures of the system, which possess... more...
- Springer International Publishing 2014; US$ 109.00
The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions... more...
- World Scientific Publishing Company 1996; US$ 214.00
This book is essentially devoted to complex properties (Phase plane structure and bifurcations) of two-dimensional noninvertible maps, i.e. maps having either a non-unique inverse, or no real inverse, according to the plane point. They constitute models of sets of discrete dynamical systems encountered in Engineering (Control, Signal Processing, Electronics),... more...
- Cambridge University Press 1989; US$ 28.00
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex... more...
- Princeton University Press 2014; US$ 52.00
The classical Melnikov method provides information on the behavior of deterministic planar systems that may exhibit transitions, i.e. escapes from and captures into preferred regions of phase space. This book develops a unified treatment of deterministic and stochastic systems that extends the applicability of the Melnikov method to physically realizable... more...
- Springer London 2010; US$ 59.95
The groundbreaking documentary (accompanying this book) has been shown in over 50 countries around the world. The contributors to the film are joined in this comprehensive survey of fractal theory and practice by leading experts in the field. more...
- Springer Berlin Heidelberg 2013; US$ 79.95
Conveying a wide range of common-sense knowledge in the field of quantitative complex system science at an introductory level, the expanded third edition of this book provides an entry point to a subject that is both fascinating and vitally important. more...
- Springer Berlin Heidelberg 2009; US$ 99.00
Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This accessible book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way. more...