This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time — two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler.
This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time ? two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler.
In Chaos in Electric Drive Systems: Analysis, Control and Application authors Chau and Wang systematically introduce an emerging technology of electrical engineering that bridges abstract chaos theory and practical electric drives. The authors consolidate all important information in this interdisciplinary technology, including the fundamental concepts, mathematical modeling, theoretical analysis, computer simulation, and hardware implementation. The book provides comprehensive coverage of chaos in electric drive systems with three main parts: analysis, control and application. Corresponding drive systems range from the simplest to the latest types: DC, induction, synchronous reluctance, switched reluctance, and permanent magnet brushless drives. The first book to comprehensively treat chaos in electric drive systems Reviews chaos in various electrical engineering technologies and drive systems Presents innovative approaches to stabilize and stimulate chaos in typical drives Discusses practical application of chaos stabilization, chaotic modulation and chaotic motion Authored by well-known scientists in the field Lecture materials available from the book's companion website This book is ideal for researchers and graduate students who specialize in electric drives, mechatronics, and electric machinery, as well as those enrolled in classes covering advanced topics in electric drives and control. Engineers and product designers in industrial electronics, consumer electronics, electric appliances and electric vehicles will also find this book helpful in applying these emerging techniques. Lecture materials for instructors available at www.wiley.com/go/chau_chaos
The book expresses the conviction that the art of creating tools – Greek techne – changes its character together with the change of civilization epochs and co-determines such changes. This does not mean that tools typical for a civilization epoch determine it completely, but they change our way of perceiving and interpreting the world. There might have been many such epochs in the history of human civilization (much more than the three waves of agricultural, industrial and information civilization). This is expressed by the title Technen of the book, where n denotes a subsequent civilization epoch. During last fifty years we observed a decomposition of the old episteme (understood as a way of creating and interpreting knowledge characteristic for a given civilization epoch) of modernism, which was an episteme typical for industrial civilization. Today, the world is differently understood by the representatives of three different cultural spheres: of strict and natural sciences; of human and social sciences (especially by their part inclined towards postmodernism) and technical sciences that have a different episteme than even that of strict and natural sciences. Thus, we observe today not two cultures, but three different episteme. The book consists of four parts. First contains basic epistemological observations, second is devoted to selected elements of recent history of information technologies, third contains more detailed epistemological and general discussions, fourth specifies conclusions. The book is written from the cognitive perspective of technical sciences, with a full awareness – and discussion – of its differences from the cognitive perspective of strict sciences or human and social sciences. The main thesis of the book is that informational revolution will probably lead to a formation of a new episteme. The book includes discussions of many issues related to such general perspective, such as what is technology proper; what is intuition from a perspective of technology and of evolutionary naturalism; what are the reasons for and how large are the delays between a fundamental invention and its broad social utilization; what is the fundamental logical error (using paradoxes that are not real, only apparent) of the tradition of sceptical philosophy; what are rational foundations and examples of emergence of order out of chaos; whether civilization development based on two positive feedbacks between science, technology and the market might lead inevitably to a self-destruction of human civilization; etc.
This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike.
In The Secrets of Hidden Knowledge, author Prof. Ayub V. O. Ofulla presents the basic physics of life as it relates to molecular physical realities of life itself or social life as it relates to the individual. Grounded on physical, biological, and social sciences intertwined with information from ancient writings and scriptures, The Secrets of Hidden Knowledge provides the foundation to help you maintain order in your life, avoid or tackle situations that are chaotic and act as stumbling blocks, and embrace unavoidable chaotic situations and use them for innovative survival and faster progress. You can also come to understand how the basic nature of the physical universe is part and parcel of your life and realize the part of nature your life occupies and how it shapes you and your progress or failure in the world. You can successfully exist and change your attitude to live a peaceful, harmonious, and progressive life. Provocative and informative, The Secrets of Hidden Knowledge shows that ever-prevalent chaos brings failure. Thus, it is imperative to create a balance to only allow a bit of chaos to help us embrace change, conduct research, and innovate to help us progress and live more harmonious lives. This book demonstrates how we can learn from Mother Nature whose creative genius consists in nothing but perpetual ordering of chaos The book will both inform and inspire - Oliver Okoth Achila, JKUAT Scholar
This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.
This book pursues a nonlinear approach in considering both chaotic dynamical models and agent-based simulation models of economics, as well as their dynamical behaviors. Three key concepts arising in this context are “nonlinearity,” “bounded rationality” and “heterogeneity,” which also make up the title of the book. Nonlinearity is the warp that runs throughout all models because systems that exhibit chaotic or other complex behavior in the absence of any exogenous disturbances are absolutely nonlinear. Bounded rationality constitutes the woof, because economic systems do not exhibit complex behavior if all agents are perfectly rational, as is usually assumed in neoclassical economics. Agents who are boundedly rational have to struggle to do their best with limited information and tend to adapt to their economic environment without knowing what is the best. Furthermore, the heterogeneity of firms or consumers dyes the fabric of complex dynamics woven from the warp and woof.
