Barrett, D. I.; Biggs, R.; Remsing, C. C. Quadratic Hamilton-Poisson systems on \(\mathfrak{se}(1,1)^{*}_{-}\): the inhomogeneous case. (English) Zbl 1411.53069 Acta Appl. Math. 154, No. 1, 189-230 (2018). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 53D17 37J25 PDFBibTeX XMLCite \textit{D. I. Barrett} et al., Acta Appl. Math. 154, No. 1, 189--230 (2018; Zbl 1411.53069) Full Text: DOI
Biggs, Rory; Remsing, Claudiu C. Invariant control systems on Lie groups: a short survey. (English) Zbl 1391.93002 Extr. Math. 32, No. 2, 213-238 (2017). MSC: 93-02 93B27 22E60 49J15 53C17 PDFBibTeX XMLCite \textit{R. Biggs} and \textit{C. C. Remsing}, Extr. Math. 32, No. 2, 213--238 (2017; Zbl 1391.93002)
Biggs, Rory Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups. (English) Zbl 1395.53034 Commun. Math. 25, No. 2, 99-135 (2017). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 53C20 53C17 22E30 PDFBibTeX XMLCite \textit{R. Biggs}, Commun. Math. 25, No. 2, 99--135 (2017; Zbl 1395.53034) Full Text: DOI
Bartlett, Catherine E.; Biggs, Rory; Remsing, Claudiu C. Control systems on nilpotent Lie groups of dimension \(\leq 4\): equivalence and classification. (English) Zbl 1373.22015 Differ. Geom. Appl. 54, Part A, 282-297 (2017). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 22E30 49J15 53C17 22E25 PDFBibTeX XMLCite \textit{C. E. Bartlett} et al., Differ. Geom. Appl. 54, Part A, 282--297 (2017; Zbl 1373.22015) Full Text: DOI
Adams, R. M.; Biggs, R.; Holderbaum, W.; Remsing, C. C. On the stability and integration of Hamilton-Poisson systems on \(\mathfrak{so} (3)^*_{-}\). (English) Zbl 1416.17022 Rend. Mat. Appl., VII. Ser. 37, No. 1-2, 1-42 (2016). MSC: 17B80 33E05 37J25 53D17 PDFBibTeX XMLCite \textit{R. M. Adams} et al., Rend. Mat. Appl., VII. Ser. 37, No. 1--2, 1--42 (2016; Zbl 1416.17022) Full Text: Link
Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C.; Rossi, Olga Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. (English) Zbl 1390.70040 J. Geom. Mech. 8, No. 2, 139-167 (2016). MSC: 70G45 22E15 37J60 53C17 PDFBibTeX XMLCite \textit{D. I. Barrett} et al., J. Geom. Mech. 8, No. 2, 139--167 (2016; Zbl 1390.70040) Full Text: DOI
Biggs, Rory; Nagy, Péter T. On sub-Riemannian and Riemannian structures on the Heisenberg groups. (English) Zbl 1347.53029 J. Dyn. Control Syst. 22, No. 3, 563-594 (2016). MSC: 53C17 22E25 53C22 49J15 PDFBibTeX XMLCite \textit{R. Biggs} and \textit{P. T. Nagy}, J. Dyn. Control Syst. 22, No. 3, 563--594 (2016; Zbl 1347.53029) Full Text: DOI
Biggs, Rory; Nagy, Péter T. On extensions of sub-Riemannian structures on Lie groups. (English) Zbl 1337.53042 Differ. Geom. Appl. 46, 25-38 (2016). MSC: 53C17 22E30 49J15 53C22 PDFBibTeX XMLCite \textit{R. Biggs} and \textit{P. T. Nagy}, Differ. Geom. Appl. 46, 25--38 (2016; Zbl 1337.53042) Full Text: DOI
Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C. Affine distributions on a four-dimensional extension of the semi-Euclidean group. (English) Zbl 1354.58004 Note Mat. 35, No. 2, 81-97 (2015). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 58A30 22E60 22E15 93B27 53C17 PDFBibTeX XMLCite \textit{D. I. Barrett} et al., Note Mat. 35, No. 2, 81--97 (2015; Zbl 1354.58004) Full Text: DOI
Adams, Ross M.; Biggs, Rory; Remsing, Claudiu C. Quadratic Hamilton-Poisson systems on \(\mathfrak{so}_-^*(3)\): classification and integration. (English) Zbl 1315.37030 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7–12, 2013. Sofia: Avangard Prima, 55-66 (2014). MSC: 37J05 17B63 35A30 37J35 53D17 81R12 PDFBibTeX XMLCite \textit{R. M. Adams} et al., in: Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7--12, 2013. Sofia: Avangard Prima. 55--66 (2014; Zbl 1315.37030)
Adams, Ross M.; Biggs, Rory; Remsing, Claudiu C. On some quadratic Hamilton-Poisson systems. (English) Zbl 1308.53122 Appl. Sci. 15, 1-12 (2013). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 37J25 37J35 22E60 PDFBibTeX XMLCite \textit{R. M. Adams} et al., Appl. Sci. 15, 1--12 (2013; Zbl 1308.53122) Full Text: Link
Adams, Ross M.; Biggs, Rory; Remsing, Claudiu C. Two-input control systems on the Euclidean group SE(2). (English) Zbl 1283.49003 ESAIM, Control Optim. Calc. Var. 19, No. 4, 947-975 (2013). MSC: 49J15 93D05 22E60 53D17 PDFBibTeX XMLCite \textit{R. M. Adams} et al., ESAIM, Control Optim. Calc. Var. 19, No. 4, 947--975 (2013; Zbl 1283.49003) Full Text: DOI
Adams, Ross M.; Biggs, Rory; Remsing, Claudiu C. Single-input control systems on the Euclidean group SE(2). (English) Zbl 1389.49011 Eur. J. Pure Appl. Math. 5, No. 1, 1-15 (2012). MSC: 49K15 93D05 22E60 53D17 PDFBibTeX XMLCite \textit{R. M. Adams} et al., Eur. J. Pure Appl. Math. 5, No. 1, 1--15 (2012; Zbl 1389.49011) Full Text: Link