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Dynamical Systems on 2- and 3-Manifolds
This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. The main results on the topological classification of discrete dynamical systems are widely scattered among many papers and surveys. This book presents these results fluidly, systematically, and for the first time in one publication. Additionally, this book discusses the recent results on the topological classification of Axiom A diffeomorphisms foc...
Dynamics, Games and Science II
Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology. The papers are based on talks given at the International Conference DYNA 2008, held in honor of Mauricio Peixoto and David Rand at the University of Braga, Portugal, on September 8-12, 2008. The aim of these volumes is to present cutting-edge research in these areas to encourage graduate students and researchers in mathematics and other fields to develop them further.
Methods of Qualitative Theory in Nonlinear Dynamics
Bifurcation 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 book has been written to serve that unfulfilled need. Following the footsteps of Poincar(r), and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and ha...
2012
Particularly in the humanities and social sciences, festschrifts are a popular forum for discussion. The IJBF provides quick and easy general access to these important resources for scholars and students. The festschrifts are located in state and regional libraries and their bibliographic details are recorded. Since 1983, more than 659,000 articles from more than 30,500 festschrifts, published between 1977 and 2011, have been catalogued.
Dynamical Systems and Applications
World Scientific series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. For the past twenty five years, there has been an explosion of interest in the study of nonlinear dynamical systems. Mathematical techniques developed during this period have been applied to important nonlinear problems ranging from physics and chemistry to ecology and economics. All these developments have made dynamical systems theory an important and attractive bran...
Geometric Theory of Dynamical Systems
... cette etude qualitative (des equations difj'erentielles) aura par elle-m me un inter t du premier ordre ... HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basi...
Creative Tourism
This book provides a synthesis of current research and international best practice in the emerging field of creative tourism. Including knowledge, insights, and reflections from both practitioners and researchers, it covers types of creative tourist, trends, designing and implementing creative tourism products, embedding activities in a community and place, and addressing sustainability challenges. Applying lessons learned from the CREATOUR project and other initiatives, the editors present key information in an actionable manner best suited to people working on the ground. A vital resource for tourism agencies, practitioners, planners and policymakers interested in developing creative tourism programmes and activities, this book will also be of interest to cultural and creative tourism researchers, students, and teachers of tourism and culture-based development.
Mathematical Reviews
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Magnetic Reconnection
Magnetic reconnection is at the core of many dynamic phenomena in the universe, such as solar flares, geomagnetic substorms and tokamak disruptions. Written by two world leaders on the subject, this volume provides a comprehensive overview of this fundamental process. Coverage gives both a pedagogical account of the basic theory and a wide-ranging review of the physical phenomena created by reconnection--from laboratory machines, the Earth's magnetosphere, and the Sun's atmosphere to flare stars and astrophysical accretion disks. It also includes a succinct account of particle acceleration by electric fields, stochastic fields and shock waves, and how reconnection can be important in these mechanisms. Clearly written and highly accessible, this volume serves as an essential introduction for graduate students in solar physics, astrophysics, plasma physics and space science. Researchers in these fields also will find Magnetic Reconnection an authoritative reference.
Invariant Manifolds
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