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#### 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...

#### Nonnegative and Compartmental Dynamical Systems

Princeton University Press 2010; US$ 110.00This 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...

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

Springer 2009; US$ 129.00This 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

Springer 2010; US$ 199.00This book - an outgrowth of an international conference held in honor of Jacques Peyriere - provides readers with an overview of recent developments in the mathematical fields related to fractals. Included are original research contributions as well as surveys written by experts in their respective fields. The chapters are thematically organized into... more...

#### Dynamical Systems

Springer 2010; US$ 289.00Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system... more...

#### A First Course In Chaotic Dynamical Systems

Westview Press 1992; US$ 49.99This is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such... more...

#### The Topology of Chaos

Wiley 2012; US$ 137.00A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required... more...

#### Further Developments in Fractals and Related Fields

Springer 2013; US$ 99.00This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions... more...

#### 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...