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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...
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...
How to Install and Tune Nitrous Oxide Systems
In this book, McClurg reviews the often-mystical subject of nitrous oxide injection systems with a level head and a clear purpose. This book educates the reader on the properties of nitrous oxide and most-effective way to design, install, and tune complete systems. A definite focus on safety and a need to answer the typical questions associated with the use of nitrous oxide is highlighted, and several complete installations are featured.
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.
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...
Introduction to Smooth Ergodic Theory
This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second discusses more advanced topics. In particular, the book describes the general theory of Lyapunov exponents and its applications to the stability theory of differential equations, the concept of nonuniform hyperbolicity, stable manifold theory (with emphasis on absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. A detailed description of all the basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces ...
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.
