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Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.
Papers from a conference organised by Maastricht University Faculty of Law on 24-25 April 2003.
This edited monograph includes state-of-the-art contributions on continuous time dynamical networks with delays. The book is divided into four parts. The first part presents tools and methods for the analysis of time-delay systems with a particular attention on control problems of large scale or infinite-dimensional systems with delays. The second part of the book is dedicated to the use of time-delay models for the analysis and design of Networked Control Systems. The third part of the book focuses on the analysis and design of systems with asynchronous sampling intervals which occur in Networked Control Systems. The last part of the book exposes several contributions dealing with the design of cooperative control and observation laws for networked control systems. The target audience primarily comprises researchers and experts in the field of control theory, but the book may also be beneficial for graduate students.
Born in 1914 just prior to WWI in a small town in Austria, a young Valerie is determined to escape the modest background of her family. Early twentieth-century convention and financial circumstances limit her career choices, and she reluctantly follows her father's footsteps to become a teacher. Faced with the first real dilemma of her young life, she bravely deals with adversity and mishap, and when during her time as student she becomes familiar with the Nazi underground movement, she wisely resists joining. In March 1938, Valerie and many people in Austria are confounded by the Anschluss, Hitler's forced annexation of Austria, which renders the country part of Germany. It is during this time in her life that Valerie believes to have realized her dreams, when in September 1939, World War II breaks out, an event destined to end in worldwide cataclysm, though at the time no one thought, or dared to think, of it as such. For the first few years, the German Army is remarkably successful until hopes for a peaceful conclusion are dashed by Hitler's ruthless blunders and the Russian winter. Valerie's story closely follows the war years in historic detail through its catastrophic end, the ten-year Allied occupation and post-war challenges. Conditions gradually return to normal, and Valerie feels content with her life until she suddenly faces events that even her lifelong strength and determination cannot overcome.
The Zurich Congress marked a return to the origins of Analytical Psychology: here it was that C.G. Jung lived for the first six decades of this century and developed the school of psychology he came to be known for. Here, too, is where many of today's Jungian analysts from all over the world received their training, and their initiation into the profession. As this collection of the complete proceedings attests, the theme of open questions drew a bountiful array of intriguing responses, and this to the largest gathering of Jungian analysts ever: more than 800 in all.