Studies of the Hoyer system

Authors
Maciejewski, AJ Przybylska, M
Citation
Aj. Maciejewski et M. Przybylska, Studies of the Hoyer system, REP MATH PH, 48(1-2), 2001, pp. 131-138
Citations number
8
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
48
Issue
1-2
Year of publication
2001
Pages
131 - 138
Database
ISI
SICI code
0034-4877(200108/10)48:1-2<131:SOTHS>2.0.ZU;2-X
Abstract
We study a three-dimensional dynamical system depending on nine parameters- the so-called Hoyer system. The aim is to find the values of parameters for which this system has a Poisson structure with a quadratic Hamiltonian: We show that there exist four families of Poisson structures. In more detail, we study the case when the system admits a family of different structures for a fixed Hamiltonian.