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#### Progress and Challenges in Dynamical Systems

Springer 2013; US$ 169.00This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincare held at the University of Oviedo, Gijon in Spain, September 2012. It provides an overview of the state of the art in the study of dynamical systems. This book covers a broad range of topics, focusing on discrete and continuous... more...

#### Topology and Dynamics of Chaos

World Scientific Publishing Company 2013; US$ 166.00The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works... more...

#### Methods of Qualitative Theory in Nonlinear Dynamics (Part Ii)

World Scientific Publishing Company 2001; US$ 238.00Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This... more...

#### Symplectic Twist Maps

World Scientific Publishing Company 2001; US$ 105.00This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest in the dimension 2 case (ghost circles). The debate... more...

#### Geometry of Nonholonomically Constrained Systems

World Scientific Publishing Company 2009; US$ 172.00This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions.... more...

#### Fractal Dimensions for Poincare Recurrences

Elsevier Science 2006; US$ 195.00This 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...

#### Handbook of Dynamical Systems

Elsevier Science 2005; US$ 285.00This 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$ 305.00This 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...

#### Handbook of Dynamical Systems

Elsevier Science 2002; US$ 275.00Volumes 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...