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#### Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

Princeton University Press 2015; US$ 42.95 US$ 39.08John 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...

#### Analisi dei sistemi dinamici

Springer Milan 2009; US$ 23.64Questo testo si propone di fornire al lettore una panoramica dettagliata delle principali metodologie modellistiche usate per la rappresentazione e l’analisi dei sistemi dinamici lineari e a tempo continuo (con alcuni cenni ai sistemi non lineari). Il testo è stato pensato per il Nuovo Ordinamento didattico che prevede una Laurea triennale e una Laurea... more...

#### Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Springer International Publishing 2014; US$ 91.75The 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...

#### Chaotic Dynamics in Two-Dimensional Noninvertible Maps

World Scientific Publishing Company 1996; US$ 131.00 US$ 119.21This 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...

#### Chaotic Evolution and Strange Attractors

Cambridge University Press 1989; US$ 29.00This 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...

#### Chaotic Transitions in Deterministic and Stochastic Dynamical Systems

Princeton University Press 2014; US$ 55.00 US$ 50.05The 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...

#### The Colours of Infinity

Springer London 2010; US$ 54.48The 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...

#### Complex and Adaptive Dynamical Systems

Springer Berlin Heidelberg 2013; US$ 64.84Conveying 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...

#### Computability of Julia Sets

Springer Berlin Heidelberg 2009; US$ 103.99Among 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...

#### Descriptive Set Theory and Dynamical Systems

Cambridge University Press 2000; US$ 88.00This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields. more...