Puta, Mircea Lie-Trotter formula and Poisson dynamics. (English) Zbl 0970.37063 Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 3, 555-559 (1999). In case of Maxwell-Bloch equations explicit Poisson integrators are constructed from laser-matter dynamics via the Lie-Trotter formula. The same is done in the case of the Euler equation of the free rigid body and rigid body equations with a spinning rotor. Reviewer: Samir Musayev (Baku) Cited in 14 Documents MSC: 37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems 70H05 Hamilton’s equations 70E17 Motion of a rigid body with a fixed point Keywords:Hamilton-Poisson systems; Maxwell-Bloch equations; Lie-Trotter formula; Euler equation PDFBibTeX XMLCite \textit{M. Puta}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 3, 555--559 (1999; Zbl 0970.37063) Full Text: DOI References: [1] DOI: 10.1103/PhysRevLett.71.3043 · Zbl 0972.65509 · doi:10.1103/PhysRevLett.71.3043 [2] DOI: 10.1137/0916010 · Zbl 0821.65048 · doi:10.1137/0916010 [3] DOI: 10.1017/S0962492900002282 · doi:10.1017/S0962492900002282 [4] DOI: 10.1090/S0002-9939-1959-0108732-6 · doi:10.1090/S0002-9939-1959-0108732-6 [5] DOI: 10.1086/115978 · doi:10.1086/115978 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.