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#### Geometric Methods for Discrete Dynamical Systems

Oxford University Press 1998; US$ 194.99This 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...

#### An Introduction to Semiflows

CRC Press 2004; US$ 154.95This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors... more...

#### Multifractals

CRC Press 2001; US$ 154.95Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation... more...

#### Fractal Dimensions for Poincare Recurrences

Elsevier Science 2006; US$ 200.00This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details... more...

#### Random Dynamical Systems

Cambridge University Press 2007; US$ 44.00Surveys topics in the theory and applications of dynamical systems subject to random shocks. more...

#### Handbook of Dynamical Systems

Elsevier Science 2005; US$ 300.00This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey ?Principal Structures of Volume 1A. The present volume contains surveys on subjects in four areas of dynamical... more...

#### Handbook of Dynamical Systems

Elsevier Science 2002; US$ 285.00Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable... more...

#### Handbook of Dynamical Systems

Elsevier Science 2002; US$ 320.00This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling... more...

#### Dynamics, Ergodic Theory and Geometry

Cambridge University Press 2007; US$ 54.00Surveys, research articles, and commented problems based on a 2004 MRSI research workshop in symplectic geometry, ergodicity, hyperbolic dynamics, and other areas. more...

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

Springer New York 2007; US$ 95.53This 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...