Non-integrability of homogeneous two-dimensional Hamiltonians with velocity-dependent potential
- 21 September 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (18) , 3547-3557
- https://doi.org/10.1088/0305-4470/21/18/011
Abstract
The non-integrability of classes of homogeneous two-dimensional Hamiltonian systems with a polynomial velocity-dependent potential is shown on the basis of Ziglin's theorem. An analytic expression for the trace of the relevant monodromy matrices is presented which fits the numerical data perfectly. An application is made to Fokker-Planck Hamiltonians with quadratic and with cubic drift terms.Keywords
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