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arXiv · 1905.04512

Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries

H. Amirzadeh-Fard·Gh. Haghighatdoost·A. Rezaei-Aghdam
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Abstract

We study Jacobi-Lie Hamiltonian systems admitting Vessiot-Guldberg Lie algebras of Hamiltonian vector fields related to Jacobi structures on real low-dimensional Jacobi-Lie groups. Also, we find some examples of Jacobi-Lie Hamiltonian systems on real two- and three- dimensional Jacobi-Lie groups. Finally, we present Lie symmetries of Jacobi-Lie Hamiltonian systems on some three-dimensional real Jacobi-Lie groups.

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H. Amirzadeh-Fard, Gh. Haghighatdoost, A. Rezaei-Aghdam. 2019-05-11. Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries. https://doi.org/10.15407/mag18.01.033

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