A few remarks on quadratic Hamilton-Poisson systems on the Heisenberg Lie-Poisson space

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Published Jan 11, 2017

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Claudiu C. Remsing
Department of Mathematics (Pure and Applied), Rhodes University PO Box 94, 6140 Grahamstown
Rory Biggs
Department of Mathematics (Pure and Applied) Rhodes University PO Box 94, 6140 Grahamstown
Catherine E. Bartlett
Department of Mathematics (Pure and Applied) Rhodes University PO Box 94, 6140 Grahamstown

Abstract

Positive semidenite quadratic Hamilton-Poissons systems on the three-dimensional Heisenberg Lie-Poisson space are classified. Stability and integration of each normal form is briefly covered. The relation of these systems to optimal control is also briefly discussed.

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Remsing, C., Biggs, R., & Bartlett, C. (2017). A few remarks on quadratic Hamilton-Poisson systems on the Heisenberg Lie-Poisson space. Acta Mathematica Universitatis Comenianae, 86(1), 73-79. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/276/435
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Vol 86 No 1 (2017): AMUC
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Articles