Screen-based media, such as touch-screens, navigation systems and virtual reality applications merge images and operations. They turn viewing first and foremost into using and reflect the turn towards an active role of the image in guiding a user’s action and perception. From professional environments to everyday life multiple configurations of screens organise working routines, structure interaction, and situate users in space both within and beyond the boundaries of the screen. This volume examines the linking of screen, space, and operation in fields such as remote navigation, architecture, medicine, interface design, and film production asking how the interaction with and through screens structures their users’ action and perception.

This book represents a unique and elaborate exposition of the neural organization of language, memory, and spatial perception in a wide variety of species including humans, bees, fish, rodents, and monkeys. The editors have united the comparative approach with its emphasis on evolutionary determinants of behavior, the neurobiological approach with its emphasis on the neural determinants of behavior, and the cognitive approach with its emphasis on understanding higher-order mental functions. The combination of these three approaches provides an unusual look at the neurobiology of comparative cognition, and should stimulate increased investigations in this field and related disciplines.

A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of the applications are non-integrable. Hence methods to prove non-integrability results are presented and the different meaning attributed to non-integrability are discussed. For systems near an integrable one, it can be shown that, under suitable conditions, some parts of the integrable structure, most of the invariant tori, survive. Many of the papers discuss near-integrable systems. From a topological point of view, some singularities must appear in different problems, either caustics, geodesics, moving wavefronts, etc. This is also related to singularities in the projections of invariant objects, and can be used as a signature of these objects. Hyperbolic dynamics appear as a source on unpredictable behaviour and several mechanisms of hyperbolicity are presented. The destruction of tori leads to Aubrey-Mather objects, and this is touched on for a related class of systems. Examples without periodic orbits are constructed, against a classical conjecture. Other topics concern higher dimensional systems, either finite (networks and localised vibrations on them) or infinite, like the quasiperiodic Schrödinger operator or nonlinear hyperbolic PDE displaying quasiperiodic solutions. Most of the applications presented concern celestial mechanics problems, like the asteroid problem, the design of spacecraft orbits, and methods to compute periodic solutions.

This volume is the outcome of a Symposium held in Lyon, France. The meeting was organized under the auspices of the Institut National de la Sante et de la Recherche Medicale (INSERM, Paris). We are grateful to the Universite Claude-Bernard which allowed us to use the house of the Brothers Lumiere for the site of the meeting. We would also like to acknowledge the generosity of the Fondation Merieux (Lyon) which pro vided us with a reception at the house where Claude Bernard was born. In addition to the authors ofthis volume we wish to thank the following individuals for their contributions to the success ofthe Symposium: Chris tine Baleydier, Simon Faugier-Grimaud, Francoise Girardet, Jacqueline Jeannerod, Henry Kennedy, Michele Magnin, Claude Prablanc, Kath erine Page, Lawrence Stark and Francois Vital-Durand. Support from the Office of Naval Research (Contract # N00014-80-K- 0243), the National Eye Institute (Grant # 1 P30-EY02621), the Institut National de la Sante et de la Recherche Medicale (Paris) and Sherin Stahl, a participant in the Undergraduate Research Opportunities Program of the Massachusetts Institute of Technology made this volume possible."

This book is based on a two-day symposium at the Paris Institute of Advanced Study titled "space-time geometries and movement in the brain and the arts". It includes over 20 chapters written by the leading scientists and artists who presented their related research studies at the symposium and includes six sections; the first three focus on space-time geometries in perception, action and memory while the last three focus on specific artistic domains: drawing and painting, dance, music, digital arts and robotics. The book is accompanied by a dedicated webpage including related images and videos. There is an ever-growing interest in the topics covered by this book. Space and time are of fundamental importance for our understanding of human perception, action, memory and cognition, and are entities which are equally important in physics, biology, neuroscience and psychology. Highly prominent scientists and mathematicians have expressed their belief that our bodies and minds shape the ways we perceive space and time and the physical laws we formulate. Understanding how the brain perceives motion and generates -bodily movements is of great significance. There is also growing interest in studying how space, time and movement subserve artistic creations in different artistic modalities (e.g., fine arts, digital and performing arts and music). This interest is inspired by the idea that artists make intuitive use of the principles and simplifying strategies used by the brain in movement generation and perception. Building upon new understanding of the spatio-temporal geometries subserving movement generation and perception by the brain we can start exploring how artists make use of such neuro --geometrical and neuro-dynamic representations in order to express artistic concepts and emotionally affect the human observers and listeners. Scientists have also started formulating new ideas of how aesthetic judgements emerge from the principles and brain mechanisms subserving motor control and motion perception. Covering novel and multidisciplinary topics, this advanced book will be of interest to neuroscientists, behavioral scientists, artificial intelligence and robotics experts, students and artists.