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

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.

arXiv comment19 pages

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Cited by in corpus (6)

• Contact Lie systems
• Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems
• Nonlinear Lie-Hamilton systems: $t$-Dependent curved oscillators and Kepler-Coulomb Hamiltonians
• Mixed superposition rules for Lie systems, compatible geometric structures, and applications
• Hamiltonian stochastic Lie systems and applications
• Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups