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#### Action-minimizing Methods in Hamiltonian Dynamics: An Introduction to Aubry-Mather Theory

Princeton University Press 2015; US$ 45.00John 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...

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

Springer 2014; US$ 109.00#### Chaotic Dynamics in Two-Dimensional Noninvertible Maps

World Scientific Publishing Company 1996; US$ 214.00This 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$ 28.00This 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: Applications of Melnikov Processes in Engineering, Physics, and Neuroscience

Princeton University Press 2014; US$ 46.95The 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$ 59.95Beautifully and copiously illustrated, this edition also comes with an e-copy of the groundbreaking TV documentary A new chapter from Benoît Mandelbrot, the mathematician and founder of fractal geometry, makes this a ?must-read? for anyone with an interest in fractal theory Brings fractal geometry up to date by gathering the thoughts and enthusiasms... more...

#### Complex and Adaptive Dynamical Systems

Springer 2013; US$ 79.95Complex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena. This primer offers an introduction to this area together with detailed coverage of the mathematics involved.All calculations are presented step by step and are straightforward to follow. This new... more...

#### Computability of Julia Sets

Springer 2009; US$ 99.00Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This book summarizes the knowledge about the computational properties of Julia sets in a self-contained way. It is suitable for experts and students with interest in theoretical computer science or dynamical systems. 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...