|
This article is cited in 6 scientific papers (total in 6 papers)
Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics
A. V. Bolsinov, A. T. Fomenkoa a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
In this paper new orbital invariants of integrable Hamiltonian systems with two degrees of freedom are described, considered on non-singular three-dimensional constant-energy surfaces. A classification up to orbit-preserving homeomorphisms is obtained for dynamical systems that describe the rotation of a rigid body around its centre of mass for various values of the parameters.
Received: 23.02.1994
Citation:
A. V. Bolsinov, A. T. Fomenko, “Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics”, Izv. RAN. Ser. Mat., 59:1 (1995), 65–102; Izv. Math., 59:1 (1995), 63–100
Linking options:
https://www.mathnet.ru/eng/im3https://doi.org/10.1070/IM1995v059n01ABEH000003 https://www.mathnet.ru/eng/im/v59/i1/p65
|
Statistics & downloads: |
Abstract page: | 483 | Russian version PDF: | 158 | English version PDF: | 8 | References: | 71 | First page: | 4 |
|