The editors felt that the time was right for a book on an important topic, the history and development of the notions of chaotic attractors and their "natu ral" invariant measures. We wanted to bring together a coherent collection of readable, interesting, outstanding papers for detailed study and comparison. We hope that this book will allow serious graduate students to hold seminars to study how the research in this field developed. Limitation of space forced us painfully to exclude many excellent, relevant papers, and the resulting choice reflects the interests of the editors. Since James Alan Yorke was born August 3, 1941, we chose to have this book commemorate his sixtieth birthday, honoring his research in this field. The editors are four of his collaborators. We would particularly like to thank Achi Dosanjh (senior editor math ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book production editor) from Springer Verlag in New York for their efforts in publishing this book.

The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader.The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc.A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution.

This brief provides a general overview of nonlinear systems that exhibit hidden-attractor behavior, a topic of interest in subjects as divers as physics, mechanics, electronics and secure communications. The brief is intended for readers who want to understand the concepts of the hidden attractor and hidden-attractor systems and to implement such systems experimentally using common electronic components. Emergent topics in circuit implementation of systems with hidden attractors are included. The brief serves as an up-to-date reference on an important research topic for undergraduate/graduate students, laboratory researchers and lecturers in various areas of engineering and physics.

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 presents a collection of new articles written by world-leading experts and active researchers to present their recent finding and progress in the new area of chaotic systems and dynamics, regarding emerging subjects of unconventional chaotic systems and their complex dynamics.It guide readers directly to the research front of the new scientific studies. This book is unique of its kind in the current literature, presenting broad scientific research topics including multistability and hidden attractors in unconventional chaotic systems, such as chaotic systems without equilibria, with only stable equilibria, with a curve or a surface of equilibria. The book describes many novel phenomena observed from chaotic systems, such as non-Shilnikov type chaos, coexistence of different types of attractors, and spontaneous symmetry breaking in chaotic systems. The book presents state-of-the-art scientific research progress in the field with both theoretical advances and potential applications. This book is suitable for all researchers and professionals in the areas of nonlinear dynamics and complex systems, including research professionals, physicists, applied mathematicians, computer scientists and, in particular, graduate students in related fields.

This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

"As befits the topic, this beautifully packaged, wonderfully illustrated, interdisciplinary resource has more than 1200 entries written by specialists. A helpful reader′s guide groups topics like agriculture, conservation and ecology, movements and regulations, politics, pollution, and society. A resource guide, chronology, glossary, and list of the UN′s economic indicators complete the set." —Library Journal "...this important work gives a well-focused snapshot of environmentalism in the early 21st Century, and it will remain valuable into the future both for its content and as a yardstick to measure progress toward sustainability and conservation. Summing Up: Recommended. Undergraduates and general readers." —CHOICE Booklist Editors′ Choice 2008 "This superb interdisciplinary work should find a place on the shelves of every public and academic library that has the least bit of interest in environment issues—which should mean just about all." —Booklist (Starred Review) Where does the environment leave off and society begin? When expanding production and consumption drives greenhouse gas emissions that warm the planet, which in turn influence the conditions of economic expansion, it is unclear where the climate ends and the economy begins. This fact is not new to our era, however, our social and natural sciences have only recently come to grips with the incredible complexity of the world described by understanding the environment and society as being of a piece. As a result, in the last decade there has been an unprecedented explosion of new concepts, theories, facts, and techniques that follow from such an understanding. The Encyclopedia of Environment and Society brings together multiplying issues, concepts, theories, examples, problems, and policies, with the goal of clearly explicating an emerging way of thinking about people and nature. With more than 1,200 entries written by experts from incredibly diverse fields, this innovative resource is a first step toward diving into the deep pool of emerging knowledge. The five volumes of this Encyclopedia represent more than a catalogue of terms. Rather, they capture the spirit of the moment, a fascinating time when global warming and genetic engineering represent only two of the most obvious examples of socio-environmental issues. Key Features Examines many new ideas about how the world works, what creates the daunting problems of our time, and how such issues might be addressed, whether by regulation, markets, or new ethics Demonstrates how theories of environmental management based on market efficiency may not be easily reconciled with those that focus on population, and both may certainly diverge from those centering on ethics, justice, or labor Offers contributions from experts in their fields of specialty, including geographers, political scientists, chemists, anthropologists, medical practitioners, development experts, and sociologists, among many others Explores the emerging socio-environmental problems that we face in the next century, as well as the shifting and expanding theoretical tools available for tackling these problems Covers regions of North America in greater detail but also provides a comprehensive picture that approaches, as effectively as possible, a cohesive global vision Key Themes Agriculture Animals Biology and Chemistry Climate Conservation and Ecology Countries Geography History Movements and Regulations Organizations People Politics Pollution Society Packed with essential and up-to-date information on the state of the global socio-environment, the Encyclopedia of Environment and Society is a time capsule of its historic moment and a record of where we stand at the start of the 21st century, making it a must-have resource for any library. These inspiring volumes provide an opportunity for more new ways of thinking, behaving, and living in a more-than-human world.

The Newtonian mindset has dominated the entire human world for more than three centuries. It has provided the necessary knowledge, theories and conceptual foundation that supported the industrial revolution, hierarchical leadership and governance, deliberate planning and strategy, and operational control of all organizations. However, over the last few decades, constraints and incoherency are emerging due to new accelerants and elevating complexity density. The new situation and dynamics, and the multi-dimensional changes require a fresh thinking and deeper comprehension that is beyond the boundaries of the exact sciences. As the continuality of human existence requires a new global order to be established, a paradigmatic shift is essential. This book provides the foundation for nurturing the new intelligence mindset that is critical in the present context. Fundamentally, the intelligence mindset encompasses intelligence/consciousness-centricity, complexity-centricity, network-centricity and stability-centricity, and constructionist thinking as its foundation pillars. The conceptual foundation of this new paradigmatic shift is presented as the intelligent organization theory, and the theory of relativistic complexity. The intelligent organization theory (encompassing iCAS, iCAD, self-centricity, stability-centricity, organizing around intelligence, localized order,..., mental cohesion) also provides a conceptual foundation to certain thinking and dynamics associated with Brexit and the current US under President Donald Trump.