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Dynamical Systems in Classical Mechanics

About this Title

V. V. Kozlov, Moscow State University, Editor. Translated by Moscow Group

Publication: American Mathematical Society Translations: Series 2
Publication Year: 1995; Volume 168
ISBNs: 978-0-8218-0427-8 (print); 978-1-4704-3379-6 (online)
DOI: https://doi.org/10.1090/trans2/168
MathSciNet review: MR1351030
MSC: Primary 58-06; Secondary 58Fxx, 70-06

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Table of Contents

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Front/Back Matter

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Chapters

• Valery V. Kozlov – Introduction
• V. P. Palamodov – Stability of motion and algebraic geometry
• Sergey V. Bolotin – Homoclinic orbits to invariant tori of Hamiltonian systems
• Dmitry V. Treshchev – An estimate of irremovable nonconstant terms in the reducibility problem
• Dmitry V. Treshchev – On the reducibility of the one-dimensional Schrödinger equation with quasi-periodic 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 two-segment trajectories of the Birkhoff billiards
• Valery V. Kozlov – Hydrodynamics of noncommutative integration of Hamiltonian systems
• Valery V. Kozlov – Problemata nova, ad quorum solutionem mathematici invitantur