A group theoretical approach to hydrodynamics considers hydrodynamics to be the
differential geometry of diffeomorphism groups. The principle of least action implies that the …

Disc brake squeal remains an elusive problem in the automotive industry. Since the early
20th century, many investigators have examined the problem with experimental, analytical …

Symmetry has always played an important role in mechanics, from fundamental formulations
of basic principles to concrete applications. The theme of the book is to develop the basic …

Nonholonomic systems provide an important class of mechanical control systems. One
reason for this importance is that nonintegrability is essential to both the mechanics and the …

We study Euler–Poincaré systems (ie, the Lagrangian analogue of Lie–Poisson Hamiltonian
systems) defined on semidirect product Lie algebras. We first give a derivation of the Euler …

The use of geometric methods in classical mechanics has proven fruitful, with wide
applications in physics and engineering. In this book, Professor Marsden concentrates on …

This work develops the geometry and dynamics of mechanical systems with nonholonomic
constraints and symmetry from the perspective of Lagrangian mechanics and with a view to …

Many books on stability theory of motion have been published in various lan guages,
including English. Most of these are comprehensive monographs, with each one devoted to …

The use of the symmetries of a physical system in the study of its dynamics has a long
history that goes back to the founders of c1assical mechanics. Symmetry-based tech niques …

Preface “... ad alcuno, dico, di quelli, che troppo laconicamente vorrebbero vedere, nei piu
angusti spazii che possibil fusse, ristretti i filosofici insegnamenti, sı che sempre si usasse …