Titlebook: Global Aspects of Classical Integrable Systems; Richard H. Cushman,Larry M. Bates Book 19971st edition Springer Basel AG 1997 algebra.clas

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The harmonic oscillator,Physically, the harmonic oscillator in the plane is described by a particle of unit mass acted upon by two linear springs of unit spring constant: one spring acting in the . -direction and the other in the .-direction.

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The Euler Top,Mathematically, the motion of the Euler top is described by geodesics of a left invariant metric on the rotation group SO(3). Physically, the Euler top is a rigid body moving about its center of mass (which is fixed) without any forces acting on the body.

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Human Rights and Free Trade in Mexicolyze. From the qualitative description of the reduced system we obtain a complete qualitative picture of the motion of the spherical pendulum. Because of monodromy, the Liouville tori fit together in a nontrivial way. This precludes the existence of global action coordinates, (see appendix D section 2).

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The spherical pendulum,lyze. From the qualitative description of the reduced system we obtain a complete qualitative picture of the motion of the spherical pendulum. Because of monodromy, the Liouville tori fit together in a nontrivial way. This precludes the existence of global action coordinates, (see appendix D section 2).

Flat-Feet

Euler top, the spherical pendulum and the Lagrange top. These classical integrable Hamiltonian systems one sees treated in almost every physics book on classical mechanics. So why is this book necessary? The answer is that the standard treatments are not complete. For instance in physics books one c

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is that their basic tool for removing symmetries of Hamiltonian systems, called regular reduction, is not general enough to handle removal of the symmetries which occur in the spherical pendulum or in the Lagrange top. For these symmetries one needs singular reduction. Another reason is that the obstructions 978-3-0348-9817-1978-3-0348-8891-2