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Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion | | H. W. Braden
; V. Z. Enolski
; Yu. N. Fedorov
; | | Date: |
12 Oct 2012 | | Abstract: | We explicitly solve the Goryachev case of rigid body motion in terms of
sigma-functions of trigonal curves of genus 3. Although completely integrable
this system is not algebraically integrable, and the solution involves dynamics
on the strata of the curves. The solution is not meromorphic in complex time.
Although the strata of hyperelliptic curves have appeared in the literature
in the context of some dynamical systems, this is the first example of an
integrable system whose solution involves a more general curve and several new
features (and formulae) are encountered in the solution. | | Source: | arXiv, 1210.3596 | | Services: | Forum | Review | PDF | Favorites | |
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