On the analytic non-integrability of the Rattleback problem

Details On the analytic non-integrability of the Rattleback problem On the analytic non-integrability of the Rattleback problem

2006-10-10

arxiv.org/abs/math/0610305v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

We establish the analytic non-integrability of the nonholonomic ellipsoidal
rattleback model for a large class of parameter values. Our approach is based
on the study of the monodromy group of the normal variational equations around
a particular orbit. The embedding of the equations of the heavy rigid body into
the rattleback model is discussed.

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