American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1995; 254 pp; hardcover Volume: 168 ISBN10: 0821804278 ISBN13: 9780821804278 List Price: US$120 Member Price: US$96 Order Code: TRANS2/168
 This book shows that the phenomenon of integrability is related not only to Hamiltonian systems, but also to a wider variety of systems having invariant measures that often arise in nonholonomic mechanics. Each paper presents unique ideas and original approaches to various mathematical problems related to integrability, stability, and chaos in classical dynamics. Topics include ...  the inverse Lyapunov theorem on stability of equilibria
 geometrical aspects of Hamiltonian mechanics from a hydrodynamic perspective
 current unsolved problems in the dynamical systems approach to classical mechanics
Readership Graduate students and research mathematicians working in ordinary and partial differential equations, dynamical systems, and mechanics. Table of Contents  V. P. Palamodov  Stability of motion and algebraic geometry
 S. V. Bolotin  Homoclinic orbits to invariant tori of Hamiltonian systems
 D. V. Treshchev  An estimate of irremovable nonconstant terms in the reducibility problem
 D. V. Treshchev  On the reducibility of the onedimensional Schrödinger equation with quasiperiodic potential
 Yu. N. Fedorov and V. V. Kozlov  Various aspects of \(n\)dimensional rigid body dynamics
 Yu. N. Fedorov  Integrable systems, Lax representations, and confocal quadrics
 N. G. Moshchevitin  Recent results on asymptotic behavior of integrals of quasiperiodic functions
 A. A. Markeev  The method of pointwise mappings in the stability problem of twosegment trajectories of the Birkhoff billiards
 V. V. Kozlov  Hydrodynamics of noncommutative integration of Hamiltonian systems
 V. V. Kozlov  Problemata nova, ad quorum solutionem mathematici invitantur
