Geodesic
A few remarks on quadratic Hamilton-Poisson systems on the Heisenberg Lie-Poisson space
Claudiu C. Remsing1 ; Rory Biggs2 ; Catherine E. Bartlett3 ; Claudiu C. Remsing ; Rory Biggs ; Catherine E. Bartlett
1Department of Mathematics (Pure and Applied), Rhodes University PO Box 94, 6140 Grahamstown
2Department of Mathematics (Pure and Applied) Rhodes University PO Box 94, 6140 Grahamstown
3Department of Mathematics (Pure and Applied) Rhodes University PO Box 94, 6140 Grahamstown
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 73-79 
Claudiu C. Remsing; Rory Biggs; Catherine E. Bartlett; Claudiu C. Remsing; Rory Biggs; Catherine E. Bartlett. A few remarks on quadratic Hamilton-Poisson systems on the Heisenberg Lie-Poisson space. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 73-79. http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a5/
@article{AMUC_2017_86_1_a5,
     author = {Claudiu C. Remsing and Rory Biggs and Catherine E. Bartlett and Claudiu C. Remsing and Rory Biggs and Catherine E. Bartlett},
     title = { A few remarks on quadratic {Hamilton-Poisson} systems on the {Heisenberg} {Lie-Poisson} space},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {73--79},
     year = {2017},
     volume = {86},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a5/}
}
TY  - JOUR
AU  - Claudiu C. Remsing
AU  - Rory Biggs
AU  - Catherine E. Bartlett
AU  - Claudiu C. Remsing
AU  - Rory Biggs
AU  - Catherine E. Bartlett
TI  - A few remarks on quadratic Hamilton-Poisson systems on the Heisenberg Lie-Poisson space
JO  - Acta mathematica Universitatis Comenianae
PY  - 2017
SP  - 73
EP  - 79
VL  - 86
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a5/
ID  - AMUC_2017_86_1_a5
ER  - 
%0 Journal Article
%A Claudiu C. Remsing
%A Rory Biggs
%A Catherine E. Bartlett
%A Claudiu C. Remsing
%A Rory Biggs
%A Catherine E. Bartlett
%T A few remarks on quadratic Hamilton-Poisson systems on the Heisenberg Lie-Poisson space
%J Acta mathematica Universitatis Comenianae
%D 2017
%P 73-79
%V 86
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a5/
%F AMUC_2017_86_1_a5

Voir la notice de l'article provenant de la source Comenius University

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.