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Mechanics, Analytic --- Celestial mechanics

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This book continues the biannual series of conference proceedings, which has become a classical reference resource in traffic and granular research alike. It addresses new developments at the interface between physics, engineering and computational science. Complex systems, where many simple agents, be they vehicles or particles, give rise to surprising and fascinating phenomena.   The contributions collected in these proceedings cover several research fields, all of which deal with transport. Topics include highway, pedestrian and internet traffic, granular matter, biological transport, transport networks, data acquisition, data analysis and technological applications. Different perspectives, i.e. modeling, simulations, experiments and phenomenological observations, are considered.

Engineering. --- Mathematics. --- Engineering & Applied Sciences --- Applied Mathematics --- Granular materials --- Traffic flow --- Fluid dynamics --- Mathematical models. --- Applied mathematics. --- Engineering mathematics. --- Automotive engineering. --- Applications of Mathematics. --- Automotive Engineering. --- Bulk solids --- Materials --- Construction --- Industrial arts --- Technology --- Math --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Automobiles --- Motor vehicles --- Design and construction. --- Automotive engineering --- Automobile engineering

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In this book we describe the basic principles, problems, and methods of cl- sical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth ?rst and foremost the working  apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated.

Ergodic theory. Information theory --- Partial differential equations --- Differential equations --- Mathematical physics --- differentiaalvergelijkingen --- wiskunde --- fysica --- informatietheorie

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This book continues the biannual series of conference proceedings, which has become a classical reference resource in traffic and granular research alike. It addresses new developments at the interface between physics, engineering and computational science. Complex systems, where many simple agents, be they vehicles or particles, give rise to surprising and fascinating phenomena.   The contributions collected in these proceedings cover several research fields, all of which deal with transport. Topics include highway, pedestrian and internet traffic, granular matter, biological transport, transport networks, data acquisition, data analysis and technological applications. Different perspectives, i.e. modeling, simulations, experiments and phenomenological observations, are considered.

Mathematics --- Applied physical engineering --- Transport engineering --- toegepaste wiskunde --- motorrijtuigen --- wiskunde --- ingenieurswetenschappen