This booklet offers a uniquely entire description of the geometry of the strength momentum mapping of 5 classical integrable structures: the 2-dimensional harmonic oscillator, the geodesic move at the 3-sphere, the Euler most sensible, the round pendulum and the Lagrange most sensible. It provides for the 1st time in publication shape a basic idea of symmetry relief which permits one to lessen the symmetries within the round pendulum and the Lagrange best. additionally the monodromy obstruction to the lifestyles of worldwide motion perspective coordinates is calculated for the round pendulum and the Lagrange most sensible. The ebook addresses specialist mathematicians and graduate scholars and will be used as a textbook on complex classical mechanics or worldwide research.
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