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Dynamical Systems in Classical Mechanics
 
Edited by: V. V. Kozlov Moscow State University
Dynamical Systems in Classical Mechanics
Hardcover ISBN:  978-0-8218-0427-8
Product Code:  TRANS2/168
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3379-6
Product Code:  TRANS2/168.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0427-8
eBook: ISBN:  978-1-4704-3379-6
Product Code:  TRANS2/168.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Dynamical Systems in Classical Mechanics
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Dynamical Systems in Classical Mechanics
Edited by: V. V. Kozlov Moscow State University
Hardcover ISBN:  978-0-8218-0427-8
Product Code:  TRANS2/168
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3379-6
Product Code:  TRANS2/168.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0427-8
eBook ISBN:  978-1-4704-3379-6
Product Code:  TRANS2/168.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1681995; 254 pp
    MSC: Primary 34; 58; 70; 78; Secondary 14; 35; 76

    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
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 1681995; 254 pp
MSC: Primary 34; 58; 70; 78; Secondary 14; 35; 76

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.

  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.