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#### Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Springer New York 2007; US$ 129.00This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The subject of the book, which contains numerous illustrations throughout, is very original and nothing similar has been written hitherto. more...

#### Dimension and Recurrence in Hyperbolic Dynamics

Birkhäuser Basel 2008; US$ 99.00This book offers a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It examines the interplay of four main areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. more...

#### Nonnegative and Compartmental Dynamical Systems

Princeton University Press 2010; US$ 120.00This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the... more...

#### A Random Walk Through Fractal Dimensions

Wiley 2008; US$ 73.95Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of... more...

#### Iterated Maps on the Interval as Dynamical Systems

Birkhäuser Boston 2009; US$ 89.99Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding... more...

#### Introduction to the Perturbation Theory of Hamiltonian Systems

Springer Berlin Heidelberg 2009; US$ 149.00This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Despite its small size, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most... more...

#### Recent Developments in Fractals and Related Fields

Birkhäuser Boston 2010; US$ 199.00The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?c communities with s- ni?cant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series re?ects the importance of applications and numerical implementation, but richness... more...

#### Three-Dimensional Flows

Springer Berlin Heidelberg 2010; US$ 189.00Offering the first comprehensive treatment of this subject in book form, this volume presents the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits. more...

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

Springer Berlin Heidelberg 2012; US$ 69.95This book offers a unified introduction to the interplay of ergodic theory, hyperbolic dynamics, and dimension theory. Coverage includes intermediate level ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics. more...