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Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential equation. This text then examines the character of the motion of the representative point along the hyperbola. Other chapters consider examples of two basic types of non-linear non-conservative systems, namely, dissipative systems and self-oscillating systems. This book discusses as well the discontinuous self-oscillations of a symmetrical multi-vibrator neglecting anode reaction. The final chapter deals with the immense practical importance of the stability of physical systems containing energy sources particularly control systems. This book is a valuable resource for electrical engineers, scientists, physicists, and mathematicians.
Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.
These proceedings represent the work of researchers participating in the International Conference on Gender Research (ICGR 2018) which is being hosted this year by the ISCAP in Porto, Portugal on 12-13 April 2018. ICGR is a new event on the international research conferences calendar and provides a valuable platform for individuals to present their research findings, display their work in progress and discuss conceptual and empirical advances in the areas surrounding Gender Research. It provides an important opportunity for researchers across a diverse range of fields all looking at aspects relating to Gender to come together with peers to share their varied and valuable experiences. The first day will be opened with a keynote presentation by Bruce I Newman from DePaul University in Chicago, USA who will address the topic Gender and Democracy. In the afternoon, there will be an additional keynote address on Empowering women in the IT/IS research: the importance of role models given by Isabel Ramos from, University of Minho, Portugal. The second day of the conference will be opened by Paola Paoloni from "NiccolÒ Cusano" University, Rome, Italy. Paola will be talking about A Relational Capital Dimension in Universities. In this event, participants will have the opportunity to have access to the latest research and developments concerning Gender Research and after an initial submission of 180 Abstracts, there will be 62 Research Papers, 8 PhD Research Papers, 2 Masters Papers, 1 Non-Academic and 4 Work in Progress Paper published in these Conference Proceedings. These papers represent truly global research in the field, with contributions from Australia, Belgium, Brazil, Canada, Colombia, Costa Rica, Cyprus, Czech Republic, Denmark, France, Germany, Greece, Iran, Italy, Kazakhstan, Lithuania, Malaysia, Mexico, Nepal, Nigeria, Pakistan, Philippines, Poland, Portugal, Russia, Slovakia, South Africa, Spain, Sweden, Taiwan, Thailand, The Netherlands, Turkey, UAE, UK and USA.
By the end of the eighteenth century, the French dominated the world of science. And although science and politics had little to do with each other directly, there were increasingly frequent intersections. This is a study of those transactions between science and state, knowledge and power--on the eve of the French Revolution. Charles Gillispie explores how the links between science and polity in France were related to governmental reform, modernization of the economy, and professionalization of science and engineering.
... 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 basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.