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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...

#### 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...

#### NONLINEAR DYNAMICAL SYSTEMS OF MATHEMATICAL PHYSICS

World Scientific Publishing Company 2011; US$ 215.00This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field — including some innovations by the authors themselves — that have not appeared in any other book. The exposition begins... more...

#### Ergodic Theory, Hyperbolic Dynamics and Dimension Theory

Springer 2012; US$ 69.95#### Ergodic Theory and Dynamical Systems

De Gruyter 2013; US$ 140.00This is the proceedings of the workshop on recent developments in ergodic theory and dynamical systems on March 2011 and March 2012 at the University of North Carolina at Chapel Hill. The articles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller... more...

#### Introduction to Dynamical Systems

Cambridge University Press 2002; US$ 68.00A broad introduction to the subject of dynamical systems, suitable for a one-year graduate course. more...

#### Geometric Methods for Discrete Dynamical Systems

Oxford University Press 1998; US$ 169.99This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of... more...

#### Fractal Geometry, Complex Dimensions and Zeta Functions

Springer 2007; US$ 89.95Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It includes theorems, examples and illustrations. more...