This book outlines the scientific, methodological and practical foundations for applying High Resolution Seismic HRS-Geo Technology in order to build detailed 2D and 3D seismic acoustic models in the form of acoustic impedances (AI) and reflection coefficients (RC) and the most important geological indicators. The monograph is a continuation of the book by the same authors "Oil and Gas Reservoir Prospecting and Exploration: High-Resolution Seismic HRS techniques and technology".

Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved.

During the period 1982-1985, six books of the series: Scientific Fun­ damentals of Robotics were published by Springer-Verlag. In chronolo­ gical order these were: Dynamics of Manipulation Robots: Theory and Application, by M. Vukobra­ tovic and V. Potkonjak, Control of Manipulation Robots: Theory and Ap­ plication, by M. vukobratovic and D. Stokic, Kinematics and Trajectory Synthesis of Manipulation Robots, by M. Vukobratovic and H. Kircanski, Real-Time Dynamics of Hanipulation Robots by M. Vukobratovic and N. Kircanski, Non-Adaptive and Adaptive Control of Manipulation Robots, by M. Vukobratovic, D. Stokic and N. Kircanski and Computer-Aided De­ sign and Applied Dynamics of Manipulation Robots, by M. Vukobratovic and V. Potkonjak. Within the series, during 1989, two monographs dealing with new sub­ jects will be published. So far, amongst the published monographs, Vol. 1 has been translated into Japanese, Volumes 2 and 5 into Russian, and Volumes 1-6 will appear in Chinese and Hungarian. In the author's opinion, the afore mentioned monographs, in principle, cover with sufficient breadth, the topics devoted to the design of ro­ bots and their control systems, at the level of post-graduate study in robotics. However, if this material was also to apply to the study of robotics at under-graduate level, it would have to be modified so as to obtain the character of a textbook. With this in mind, it must be noted that the subject matter contained in the text cannot be simpli­ fied but can only be elaborated in more detail.

Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.

“The human body is a machine whose movements are directed by the soul,” wrote René Descartes in the early seventeenth century. The intr- sic mechanisms of this machine gradually became clear through the hard work of Renaissance scientists. Leonardo da Vinci is one such scientist from this period of enlightenment. In pursuit of knowledge, Leonardo dissected the bodies of more than 30 men and women. He sawed the bones lengthwise, to see their internal structure; he sawed the skull, cut through the vertebrae, and showed the spinal cord. In the process, he took extensive notes and made carefully detailed sketches. His drawings d- ferentiated muscles that run across several joints from those muscles that act on a single joint. “Nature has made all the muscles appertaining to the motion of the toes attached to the bone of the leg and not to that of the thigh,” wrote Leonardo in 1504 next to one of his sketches of the lower extremity, “because when the knee joint is flexed, if attached to the bone of the thigh, these muscles would be bound under the knee joint and would not be able to serve the toes. The same occurs in the hand owing to the flexion of the elbow. ” Another Renaissance scholar who made fundamental contributions to the physiology of movement is Giovanni Alfonso Borelli. Born in 1604 in Naples, Borelli was a well-respected mathematician.