Vasile Brnzanescu, Cristina Maria Sandu: Algebraic methods for Bloch-Iserles Hamiltonian systems, 181-189

Abstract:

We survey some results on Bloch-Iserles Hamiltonian systems and we present solutions in terms of Theta-functions in the cases n=3 and n=4. This paper is based on the talks of the authors at two Conferences: "Transient Transcendence in Transylvania", Brasov, ROMANIA, May 13-17, 2019, and "5-th Conference of the Mathematical Society of the Republic of Moldova", Chisinau, September 28 - October 1, 2019.

Key Words: Integrable Hamiltonian systems, spectral curves, algebraic integrability, generalized Jacobians.

2010 Mathematics Subject Classification: Primary 70H06; Secondary 70G55, 14H40, 14H42.

Download the paper in pdf format here.