Balseiro, Paula; Eugenia Garcia, Maria; Tori, Cora Inés; Zuccalli, Marcela Momentum map reduction for nonholonomic systems. (English) Zbl 07738417 Nonlinearity 36, No. 10, 5401-5421 (2023). MSC: 70F25 70G45 53D20 PDFBibTeX XMLCite \textit{P. Balseiro} et al., Nonlinearity 36, No. 10, 5401--5421 (2023; Zbl 07738417) Full Text: DOI arXiv
Balseiro, Paula; Sansonetto, Nicola First integrals and symmetries of nonholonomic systems. (English) Zbl 1503.37074 Arch. Ration. Mech. Anal. 244, No. 2, 343-389 (2022). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37J60 70F25 70H33 PDFBibTeX XMLCite \textit{P. Balseiro} and \textit{N. Sansonetto}, Arch. Ration. Mech. Anal. 244, No. 2, 343--389 (2022; Zbl 1503.37074) Full Text: DOI arXiv
Prince, G. E.; Farré Puiggalí, M.; Saunders, D. J.; Martín de Diego, D. Linear connections and shape maps for second order ODEs with and without constraints. (English) Zbl 1481.34016 J. Geom. Phys. 170, Article ID 104390, 18 p. (2021). MSC: 34A26 53C05 70G45 34C40 53B05 PDFBibTeX XMLCite \textit{G. E. Prince} et al., J. Geom. Phys. 170, Article ID 104390, 18 p. (2021; Zbl 1481.34016) Full Text: DOI arXiv
Balseiro, Paula; Yapu, Luis P. Conserved quantities and Hamiltonization of nonholonomic systems. (English) Zbl 1485.70012 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 1, 23-60 (2021). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70F25 70H05 70G45 PDFBibTeX XMLCite \textit{P. Balseiro} and \textit{L. P. Yapu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 1, 23--60 (2021; Zbl 1485.70012) Full Text: DOI arXiv
García-Naranjo, Luis C.; Marrero, Juan C. The geometry of nonholonomic Chaplygin systems revisited. (English) Zbl 1477.37069 Nonlinearity 33, No. 3, 1297-1341 (2020). Reviewer: Božidar Jovanović (Beograd) MSC: 37J60 70F25 70G45 70G65 PDFBibTeX XMLCite \textit{L. C. García-Naranjo} and \textit{J. C. Marrero}, Nonlinearity 33, No. 3, 1297--1341 (2020; Zbl 1477.37069) Full Text: DOI arXiv
García-Naranjo, Luis C. Generalisation of Chaplygin’s reducing multiplier theorem with an application to multi-dimensional nonholonomic dynamics. (English) Zbl 1509.37077 J. Phys. A, Math. Theor. 52, No. 20, Article ID 205203, 16 p. (2019). MSC: 37J60 70E18 70E45 PDFBibTeX XMLCite \textit{L. C. García-Naranjo}, J. Phys. A, Math. Theor. 52, No. 20, Article ID 205203, 16 p. (2019; Zbl 1509.37077) Full Text: DOI arXiv
Ehlers, Kurt M.; Koiller, Jair Cartan meets Chaplygin. (English) Zbl 1474.37076 Theor. Appl. Mech. (Belgrade) 46, No. 1, 15-46 (2019). MSC: 37J60 53D15 70F25 70G45 70H45 PDFBibTeX XMLCite \textit{K. M. Ehlers} and \textit{J. Koiller}, Theor. Appl. Mech. (Belgrade) 46, No. 1, 15--46 (2019; Zbl 1474.37076) Full Text: DOI
García-Naranjo, Luis C.; Montaldi, James Gauge momenta as Casimir functions of nonholonomic systems. (English) Zbl 1431.70006 Arch. Ration. Mech. Anal. 228, No. 2, 563-602 (2018). MSC: 70F25 37J60 70E40 70H05 70S05 PDFBibTeX XMLCite \textit{L. C. García-Naranjo} and \textit{J. Montaldi}, Arch. Ration. Mech. Anal. 228, No. 2, 563--602 (2018; Zbl 1431.70006) Full Text: DOI arXiv Link
Balseiro, Paula Hamiltonization of solids of revolution through reduction. (English) Zbl 1381.37075 J. Nonlinear Sci. 27, No. 6, 2001-2035 (2017). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J60 70F25 70H06 53D17 53D20 PDFBibTeX XMLCite \textit{P. Balseiro}, J. Nonlinear Sci. 27, No. 6, 2001--2035 (2017; Zbl 1381.37075) Full Text: DOI arXiv
Balseiro, Paula; Sansonetto, Nicola A geometric characterization of certain first integrals for nonholonomic systems with symmetries. (English) Zbl 1366.70019 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 018, 14 p. (2016). MSC: 70F25 70H33 53D20 PDFBibTeX XMLCite \textit{P. Balseiro} and \textit{N. Sansonetto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 018, 14 p. (2016; Zbl 1366.70019) Full Text: DOI arXiv
Balseiro, Paula A global version of the Koon-Marsden Jacobiator formula. (English) Zbl 1365.70016 Chang, Dong Eui (ed.) et al., Geometry, mechanics, and dynamics. The legacy of Jerry Marsden. Selected papers presented at a focus program, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, July 2012. New York, NY: Springer (ISBN 978-1-4939-2440-0/hbk; 978-1-4939-2441-7/ebook). Fields Institute Communications 73, 1-17 (2015). MSC: 70G45 37J60 37M15 70F25 PDFBibTeX XMLCite \textit{P. Balseiro}, Fields Inst. Commun. 73, 1--17 (2015; Zbl 1365.70016) Full Text: DOI arXiv
Fernandez, Oscar E. Poincaré transformations in nonholonomic mechanics. (English) Zbl 1391.70046 Appl. Math. Lett. 43, 96-100 (2015). MSC: 70F25 70G45 70H05 70H08 49K05 PDFBibTeX XMLCite \textit{O. E. Fernandez}, Appl. Math. Lett. 43, 96--100 (2015; Zbl 1391.70046) Full Text: DOI
Balseiro, Paula The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets. (English) Zbl 1321.70014 Arch. Ration. Mech. Anal. 214, No. 2, 453-501 (2014). MSC: 70H05 70F25 70G45 PDFBibTeX XMLCite \textit{P. Balseiro}, Arch. Ration. Mech. Anal. 214, No. 2, 453--501 (2014; Zbl 1321.70014) Full Text: DOI arXiv
Balseiro, Paula; García-Naranjo, Luis C. Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems. (English) Zbl 1284.70028 Arch. Ration. Mech. Anal. 205, No. 1, 267-310 (2012). MSC: 70F25 70H05 70G45 35Q70 PDFBibTeX XMLCite \textit{P. Balseiro} and \textit{L. C. García-Naranjo}, Arch. Ration. Mech. Anal. 205, No. 1, 267--310 (2012; Zbl 1284.70028) Full Text: DOI arXiv
Jovanović, Božidar Žarko Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\). (English) Zbl 1207.37047 J. Nonlinear Sci. 20, No. 5, 569-593 (2010). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J60 37J35 70H45 PDFBibTeX XMLCite \textit{B. Ž. Jovanović}, J. Nonlinear Sci. 20, No. 5, 569--593 (2010; Zbl 1207.37047) Full Text: DOI arXiv
Fernandez, O. E.; Mestdag, T.; Bloch, A. M. A generalization of Chaplygin’s reducibility theorem. (English) Zbl 1229.37087 Regul. Chaotic Dyn. 14, No. 6, 635-655 (2009). MSC: 37J60 70F25 70H05 53D17 70H33 PDFBibTeX XMLCite \textit{O. E. Fernandez} et al., Regul. Chaotic Dyn. 14, No. 6, 635--655 (2009; Zbl 1229.37087) Full Text: DOI arXiv