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Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion

Autor
Braden, H.W.; Enolski, V.Z.; Fedorov, Y.
Tipus d'activitat
Article en revista
Revista
Nonlinearity
Data de publicació
2013-07
Volum
26
Número
7
Pàgina inicial
1865
Pàgina final
1889
DOI
https://doi.org/10.1088/0951-7715/26/7/1865 Obrir en finestra nova
Resum
We present an algebraic geometrical and analytical description of the Goryachev case of rigid body motion. It belongs to a family of systems sharing the same properties: although completely integrable, they are not algebraically integrable, their solution is not meromorphic in the complex time and involves dynamics on the strata of the Jacobian varieties of trigonal curves. Although the strata of hyperelliptic Jacobians have already appeared in the literature in the context of some dynamical sys...
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants