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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...

#### Introduction to Modern Dynamics

OUP Oxford 2014; US$ 52.99Presents a unifying approach to the physics of chaos, nonlinear systems, dynamic networks, evolutionary dynamics, econophysics, and the theory of relativity. Each chapter has many worked examples and simple computer simulations that allow the student to explore the rich phenomena of nonlinear physics. more...

#### Fractals, Wavelets, and their Applications

Springer International Publishing 2014; US$ 118.19Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology,... more...

#### Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics

Springer International Publishing 2014; US$ 50.82This brief presents numerical methods for describing and calculating invariant phase space structures, as well as solving the classical and quantum equations of motion for polyatomic molecules. Examples covered include simple model systems to realistic cases of molecules spectroscopically studied. Vibrationally excited and reacting molecules are... 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...

#### Fractal Dimensions

IPS Books 2014; US$ 4.99The concept behind fractal geometry is extremely difficult to explain . . . but easy to see and enjoy. Eric Hammel, a professional author of military history books, is unable to explain fractals in a way that will be clear to anyone else, but most mathematicians can’t explain fractals in language most people can understand. The simplest explanation... more...

#### Fractal Dimensions

IPS Books 2014; US$ 4.99The concept behind fractal geometry is extremely difficult to explain . . . but easy to see and enjoy. Eric Hammel, a professional author of military history books, is unable to explain fractals in a way that will be clear to anyone else, but most mathematicians can’t explain fractals in language most people can understand. The simplest explanation... more...

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

Springer International Publishing 2014; US$ 88.64The 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...

#### Dynamical Systems

Elsevier Science 2014; US$ 93.95Dynamical Systems compiles the lectures and contributed papers read at the International Symposium on Dynamical Systems held at the University of Florida in Gainesville, Florida on March 24-26, 1976. This book discusses the principle of exchange of stability; weak-invariance and rest points in control systems; local controllability in nonlinear systems;... more...

#### Fractal Attraction™

Elsevier Science 2014; US$ 31.95Fractal Attraction™: A Fractal Design System for the Macintosh® provides information pertinent to fractal attraction, a Macintosh application. This book introduces the Iterated Function Systems (IFS). Organized into eight chapters, this book begins with an overview of the standard and enhanced versions of fractal attraction. This text then explains... more...