Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso Skinner-Rusk formalism for \(k\)-contact systems. (English) Zbl 07482865 J. Geom. Phys. 172, Article ID 104429, 24 p. (2022). MSC: 70S05 70G45 70H45 35Q61 35R01 53C15 53D10 53Z05 58A10 PDF BibTeX XML Cite \textit{X. Gràcia} et al., J. Geom. Phys. 172, Article ID 104429, 24 p. (2022; Zbl 07482865) Full Text: DOI arXiv OpenURL
Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso Erratum to: “Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework”. (English) Zbl 1472.70042 J. Geom. Mech. 13, No. 2, 273-275 (2021). MSC: 70H45 35R01 53C15 53D99 70G45 70S05 PDF BibTeX XML Cite \textit{X. Gràcia} et al., J. Geom. Mech. 13, No. 2, 273--275 (2021; Zbl 1472.70042) Full Text: DOI OpenURL
Gay-Balmaz, François; Yoshimura, Hiroaki Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics. (English) Zbl 07411967 IMA J. Math. Control Inf. 37, No. 4, 1298-1347 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C35 53D17 37J60 70G45 94C05 70H45 70H03 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, IMA J. Math. Control Inf. 37, No. 4, 1298--1347 (2020; Zbl 07411967) Full Text: DOI OpenURL
Dhont, Guillaume; Iwai, Toshihiro; Zhilinskií, Boris I. A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation. (English) Zbl 1458.37063 Regul. Chaotic Dyn. 25, No. 5, 424-452 (2020). MSC: 37J39 37N20 53D20 58K65 81Q70 81V55 70G45 70H33 PDF BibTeX XML Cite \textit{G. Dhont} et al., Regul. Chaotic Dyn. 25, No. 5, 424--452 (2020; Zbl 1458.37063) Full Text: DOI OpenURL
Iwai, Toshihiro; Sadovskií, Dmitrií A.; Zhilinskií, Boris I. Angular momentum coupling, Dirac oscillators, and quantum band rearrangements in the presence of momentum reversal symmetries. (English) Zbl 07300136 J. Geom. Mech. 12, No. 3, 455-505 (2020). MSC: 81Q70 81V55 53C80 58J70 70G45 PDF BibTeX XML Cite \textit{T. Iwai} et al., J. Geom. Mech. 12, No. 3, 455--505 (2020; Zbl 07300136) Full Text: DOI OpenURL
Avendaño-Camacho, Misael; Hasse-Armengol, Isaac; Velasco-Barreras, Eduardo; Vorobiev, Yury The method of averaging for Poisson connections on foliations and its applications. (English) Zbl 1456.53064 J. Geom. Mech. 12, No. 3, 343-361 (2020). MSC: 53D17 53C12 53D20 58D19 70G45 PDF BibTeX XML Cite \textit{M. Avendaño-Camacho} et al., J. Geom. Mech. 12, No. 3, 343--361 (2020; Zbl 1456.53064) Full Text: DOI OpenURL
Gay-Balmaz, François; Yoshimura, Hiroaki Dirac structures in nonequilibrium thermodynamics for simple open systems. (English) Zbl 1458.80004 J. Math. Phys. 61, No. 9, 092701, 45 p. (2020). Reviewer: W. Sridhar (Vaddeswaram) MSC: 80A19 82C35 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, J. Math. Phys. 61, No. 9, 092701, 45 p. (2020; Zbl 1458.80004) Full Text: DOI arXiv OpenURL
Gzenda, Vaughn; Putkaradze, Vakhtang Integrability and chaos in figure skating. (English) Zbl 1473.70055 J. Nonlinear Sci. 30, No. 3, 831-850 (2020). MSC: 70K55 70F25 70H06 70H33 70H45 70K50 PDF BibTeX XML Cite \textit{V. Gzenda} and \textit{V. Putkaradze}, J. Nonlinear Sci. 30, No. 3, 831--850 (2020; Zbl 1473.70055) Full Text: DOI arXiv OpenURL
Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework. (English) Zbl 1434.70047 J. Geom. Mech. 12, No. 1, 1-23 (2020); erratum ibid. 13, No. 2, 273-275 (2021). MSC: 70H45 35R01 53C15 53D99 70G45 70S05 PDF BibTeX XML Cite \textit{X. Gràcia} et al., J. Geom. Mech. 12, No. 1, 1--23 (2020; Zbl 1434.70047) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. M. Ehlers} and \textit{J. Koiller}, Theor. Appl. Mech. (Belgrade) 46, No. 1, 15--46 (2019; Zbl 1474.37076) Full Text: DOI OpenURL
Kozlov, Valery V. On the dynamics of systems with one-sided non-integrable constraints. (English) Zbl 1474.70018 Theor. Appl. Mech. (Belgrade) 46, No. 1, 1-14 (2019). MSC: 70F25 70H45 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Theor. Appl. Mech. (Belgrade) 46, No. 1, 1--14 (2019; Zbl 1474.70018) Full Text: DOI OpenURL
Jóźwikowski, Michał; Respondek, Witold A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems. (English) Zbl 1426.49050 J. Geom. Mech. 11, No. 1, 77-122 (2019). MSC: 49S05 70H45 70H30 70G45 PDF BibTeX XML Cite \textit{M. Jóźwikowski} and \textit{W. Respondek}, J. Geom. Mech. 11, No. 1, 77--122 (2019; Zbl 1426.49050) Full Text: DOI arXiv OpenURL
Cambronero, Julio; Álvarez, Javier Pérez Systems of Hamilton-Jacobi equations. (English) Zbl 1418.70027 J. Nonlinear Math. Phys. 26, No. 4, 650-658 (2019). MSC: 70H20 70G45 70H45 70H03 70H05 PDF BibTeX XML Cite \textit{J. Cambronero} and \textit{J. P. Álvarez}, J. Nonlinear Math. Phys. 26, No. 4, 650--658 (2019; Zbl 1418.70027) Full Text: DOI OpenURL
Zhang, Yi Separation of variables and integrals of partial energy for a generalized Birkhoffian system. (Chinese. English summary) Zbl 1413.70007 J. Suzhou Univ. Sci. Technol., Nat. Sci. 35, No. 1, 1-5, 15 (2018). MSC: 70F25 70H06 70H45 PDF BibTeX XML Cite \textit{Y. Zhang}, J. Suzhou Univ. Sci. Technol., Nat. Sci. 35, No. 1, 1--5, 15 (2018; Zbl 1413.70007) Full Text: DOI OpenURL
Lusanna, Luca Dirac-Bergmann constraints in physics: singular Lagrangians, Hamiltonian constraints and the second Noether theorem. (English) Zbl 1437.70027 Int. J. Geom. Methods Mod. Phys. 15, No. 10, Article ID 1830004, 39 p. (2018). MSC: 70H45 70F25 70H33 70H03 70H05 PDF BibTeX XML Cite \textit{L. Lusanna}, Int. J. Geom. Methods Mod. Phys. 15, No. 10, Article ID 1830004, 39 p. (2018; Zbl 1437.70027) Full Text: DOI arXiv OpenURL
Barbero-Liñán, M.; Cendra, H.; García-Toraño Andrés, E.; Martín de Diego, D. New insights in the geometry and interconnection of port-Hamiltonian systems. (English) Zbl 1433.70028 J. Phys. A, Math. Theor. 51, No. 37, Article ID 375201, 30 p. (2018). MSC: 70G45 37J06 70H45 PDF BibTeX XML Cite \textit{M. Barbero-Liñán} et al., J. Phys. A, Math. Theor. 51, No. 37, Article ID 375201, 30 p. (2018; Zbl 1433.70028) Full Text: DOI arXiv OpenURL
Ohsawa, Tomoki Symplectic semiclassical wave packet dynamics II: non-Gaussian states. (English) Zbl 1403.37065 Nonlinearity 31, No. 5, 1807-1832 (2018). Reviewer: Monika Winklmeier (Bogotá) MSC: 37J15 37J35 70G45 70H06 70H33 81Q05 81Q20 81Q70 81S10 PDF BibTeX XML Cite \textit{T. Ohsawa}, Nonlinearity 31, No. 5, 1807--1832 (2018; Zbl 1403.37065) Full Text: DOI arXiv OpenURL
Khajeh Salehani, Mahdi A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems. (English) Zbl 06876155 Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850112, 36 p. (2018). MSC: 70-XX 70F25 70H03 70H45 PDF BibTeX XML Cite \textit{M. Khajeh Salehani}, Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850112, 36 p. (2018; Zbl 06876155) Full Text: DOI OpenURL
Gay-Balmaz, François; Yoshimura, Hiroaki Dirac structures in nonequilibrium thermodynamics. (English) Zbl 1383.82043 J. Math. Phys. 59, No. 1, 012701, 29 p. (2018). MSC: 82C35 70F25 49S05 37J60 70G45 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, J. Math. Phys. 59, No. 1, 012701, 29 p. (2018; Zbl 1383.82043) Full Text: DOI arXiv OpenURL
Ciaglia, Florio Maria; Ibort, Alberto; Marmo, Giuseppe Geometrical structures for classical and quantum probability spaces. (English) Zbl 1397.81030 Int. J. Quantum Inf. 15, No. 8, Article ID 1740007, 13 p. (2017). MSC: 81P16 81Q70 70G45 81Q05 70H05 60E05 PDF BibTeX XML Cite \textit{F. M. Ciaglia} et al., Int. J. Quantum Inf. 15, No. 8, Article ID 1740007, 13 p. (2017; Zbl 1397.81030) Full Text: DOI arXiv OpenURL
Gajbhiye, Sneha; Banavar, Ravi N.; Delgado, Sergio Symmetries in the wheeled inverted pendulum mechanism. (English) Zbl 1390.70037 Nonlinear Dyn. 90, No. 1, 391-403 (2017). MSC: 70F25 70E60 70H33 70H45 PDF BibTeX XML Cite \textit{S. Gajbhiye} et al., Nonlinear Dyn. 90, No. 1, 391--403 (2017; Zbl 1390.70037) Full Text: DOI arXiv OpenURL
Parks, Helen; Leok, Melvin Variational integrators for interconnected Lagrange-Dirac systems. (English) Zbl 1378.37113 J. Nonlinear Sci. 27, No. 5, 1399-1434 (2017). MSC: 37J60 37J05 37N05 65P10 70F25 70G45 70H05 70H45 70Q05 93A30 93B27 PDF BibTeX XML Cite \textit{H. Parks} and \textit{M. Leok}, J. Nonlinear Sci. 27, No. 5, 1399--1434 (2017; Zbl 1378.37113) Full Text: DOI arXiv OpenURL
Escalante, Alberto; Osmart Ochoa-Gutiérrez, H. Canonical and symplectic analysis for three dimensional gravity without dynamics. (English) Zbl 1367.70063 Ann. Phys. 378, 396-406 (2017). MSC: 70S15 70H45 70G45 PDF BibTeX XML Cite \textit{A. Escalante} and \textit{H. Osmart Ochoa-Gutiérrez}, Ann. Phys. 378, 396--406 (2017; Zbl 1367.70063) Full Text: DOI arXiv OpenURL
Vallejo, José Antonio; Vorobiev, Yury \(G\)-invariant deformations of almost-coupling Poisson structures. (English) Zbl 1362.53090 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 022, 13 p. (2017). MSC: 53D17 70G45 58H15 53C12 PDF BibTeX XML Cite \textit{J. A. Vallejo} and \textit{Y. Vorobiev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 022, 13 p. (2017; Zbl 1362.53090) Full Text: DOI arXiv OpenURL
Fu, Jing-Li; Fu, Li-Ping; Chen, Ben-Yong; Sun, Yi Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives. (English) Zbl 1377.70032 Phys. Lett., A 380, No. 1-2, 15-21 (2016). MSC: 70F25 26A33 34A08 35R11 70H45 70S10 PDF BibTeX XML Cite \textit{J.-L. Fu} et al., Phys. Lett., A 380, No. 1--2, 15--21 (2016; Zbl 1377.70032) Full Text: DOI OpenURL
Zegzhda, S. A.; Naumova, N. V.; Soltakhanov, Sh. Kh.; Yushkov, M. P. Relationship between the Udwadia-Kalaba equations and the generalized Lagrange and Maggi equations. (English. Russian original) Zbl 1382.70016 Vestn. St. Petersbg. Univ., Math. 49, No. 1, 81-84 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 3(61), No. 1, 134-138 (2016). MSC: 70G45 37J60 70H45 PDF BibTeX XML Cite \textit{S. A. Zegzhda} et al., Vestn. St. Petersbg. Univ., Math. 49, No. 1, 81--84 (2016; Zbl 1382.70016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 3(61), No. 1, 134--138 (2016) Full Text: DOI OpenURL
Borisov, Alexey V.; Kazakov, Alexey O.; Sataev, Igor R. Spiral chaos in the nonholonomic model of a Chaplygin top. (English) Zbl 1378.37112 Regul. Chaotic Dyn. 21, No. 7-8, 939-954 (2016). Reviewer: Werner M. Seiler (Kassel) MSC: 37J60 37N15 37G35 70E18 70F25 70H45 37M05 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 21, No. 7--8, 939--954 (2016; Zbl 1378.37112) Full Text: DOI OpenURL
Kozma, László; Ootsuka, Takayoshi Finsler connection for general Lagrangian systems. (English) Zbl 1365.70017 Rep. Math. Phys. 78, No. 2, 157-175 (2016). MSC: 70G45 53C60 53B15 70H45 53Z05 PDF BibTeX XML Cite \textit{L. Kozma} and \textit{T. Ootsuka}, Rep. Math. Phys. 78, No. 2, 157--175 (2016; Zbl 1365.70017) Full Text: DOI arXiv OpenURL
Grigoryev, Yury A.; Sozonov, Alexey P.; Tsiganov, Andrey V. Integrability of nonholonomic Heisenberg type systems. (English) Zbl 1353.37128 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 112, 14 p. (2016). MSC: 37J60 70G45 70H45 PDF BibTeX XML Cite \textit{Y. A. Grigoryev} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 112, 14 p. (2016; Zbl 1353.37128) Full Text: DOI arXiv OpenURL
Cap, A. Book review of: F. Cardin, Elementary symplectic topology and mechanics. (English) Zbl 1417.00018 Monatsh. Math. 181, No. 4, 997 (2016). MSC: 00A17 70-01 70G45 35F21 35Q41 37J05 58E05 70H03 70H05 53-01 53D05 49-01 PDF BibTeX XML Cite \textit{A. Cap}, Monatsh. Math. 181, No. 4, 997 (2016; Zbl 1417.00018) Full Text: DOI OpenURL
Wei, Yi; Deng, Zichen; Li, Qingjun; Wang, Bo Projected Runge-Kutta methods for constrained Hamiltonian systems. (English) Zbl 1348.74140 AMM, Appl. Math. Mech., Engl. Ed. 37, No. 8, 1077-1094 (2016). MSC: 74H40 65L06 70H45 70G45 PDF BibTeX XML Cite \textit{Y. Wei} et al., AMM, Appl. Math. Mech., Engl. Ed. 37, No. 8, 1077--1094 (2016; Zbl 1348.74140) Full Text: DOI OpenURL
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. Historical and critical review of the development of nonholonomic mechanics: the classical period. (English, Russian) Zbl 1352.37172 Regul. Chaotic Dyn. 21, No. 4, 455-476 (2016); translation in Nelineĭn. Din. 12, No. 3, 385-411 (2016). MSC: 37J60 01A05 70F25 70H45 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 21, No. 4, 455--476 (2016; Zbl 1352.37172); translation in Nelineĭn. Din. 12, No. 3, 385--411 (2016) Full Text: DOI MNR OpenURL
Sataev, Igor’ Rustamovich; Kazakov, Alekseĭ Olegovich Scenarios of transition to chaos in the nonholonomic model of a Chaplygin top. (Russian. English summary) Zbl 1347.37114 Nelineĭn. Din. 12, No. 2, 235-250 (2016). MSC: 37J60 37N15 37G35 70E18 70F25 70H45 PDF BibTeX XML Cite \textit{I. R. Sataev} and \textit{A. O. Kazakov}, Nelineĭn. Din. 12, No. 2, 235--250 (2016; Zbl 1347.37114) Full Text: DOI MNR OpenURL
Janyška, Josef Relations between constants of motion and conserved functions. (English) Zbl 1374.70055 Arch. Math., Brno 51, No. 5, 297-313 (2015). Reviewer: Marco Modugno (Firenze) MSC: 70H40 70H45 70H33 70G45 58A20 PDF BibTeX XML Cite \textit{J. Janyška}, Arch. Math., Brno 51, No. 5, 297--313 (2015; Zbl 1374.70055) Full Text: DOI OpenURL
Janyška, Josef Remarks on infinitesimal symmetries of geometrical structures of the classical phase space of general relativistic test particle. (English) Zbl 1378.70024 Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560020, 7 p. (2015). MSC: 70H40 70H45 70H33 70G45 58A20 PDF BibTeX XML Cite \textit{J. Janyška}, Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560020, 7 p. (2015; Zbl 1378.70024) Full Text: DOI OpenURL
Bizyaev, Ivan A.; Borisov, Alexey V.; Kazakov, Alexey O. Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors. (English) Zbl 1344.37073 Regul. Chaotic Dyn. 20, No. 5, 605-626 (2015); translation in Nelineĭn. Din. 12, No. 2, 263-287 (2016). MSC: 37J60 37N05 37G35 70F25 70H45 37M05 37D45 PDF BibTeX XML Cite \textit{I. A. Bizyaev} et al., Regul. Chaotic Dyn. 20, No. 5, 605--626 (2015; Zbl 1344.37073); translation in Nelineĭn. Din. 12, No. 2, 263--287 (2016) Full Text: DOI OpenURL
Minguzzi, E. A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena. (English) Zbl 1367.70037 J. Geom. Mech. 7, No. 4, 473-482 (2015). MSC: 70G45 37J60 70F40 PDF BibTeX XML Cite \textit{E. Minguzzi}, J. Geom. Mech. 7, No. 4, 473--482 (2015; Zbl 1367.70037) Full Text: DOI arXiv OpenURL
Tsiganov, Andrey V. On integrable perturbations of some nonholonomic systems. (English) Zbl 1360.37158 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 085, 19 p. (2015). MSC: 37J60 70G45 70H45 37J35 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 085, 19 p. (2015; Zbl 1360.37158) Full Text: DOI arXiv EMIS OpenURL
Natsiavas, S.; Paraskevopoulos, E. A set of ordinary differential equations of motion for constrained mechanical systems. (English) Zbl 1331.70056 Nonlinear Dyn. 79, No. 3, 1911-1938 (2015). MSC: 70H45 70F20 70F25 70G45 37N05 PDF BibTeX XML Cite \textit{S. Natsiavas} and \textit{E. Paraskevopoulos}, Nonlinear Dyn. 79, No. 3, 1911--1938 (2015; Zbl 1331.70056) Full Text: DOI OpenURL
Ohsawa, Tomoki The Siegel upper half space is a Marsden-Weinstein quotient: symplectic reduction and Gaussian wave packets. (English) Zbl 1371.37111 Lett. Math. Phys. 105, No. 9, 1301-1320 (2015). MSC: 37J15 53D20 70G45 81Q05 81Q20 81Q70 81S10 PDF BibTeX XML Cite \textit{T. Ohsawa}, Lett. Math. Phys. 105, No. 9, 1301--1320 (2015; Zbl 1371.37111) Full Text: DOI arXiv OpenURL
Jiménez, Fernando; Yoshimura, Hiroaki Dirac structures in vakonomic mechanics. (English) Zbl 1345.70031 J. Geom. Phys. 94, 158-178 (2015). MSC: 70H45 70F25 70H30 PDF BibTeX XML Cite \textit{F. Jiménez} and \textit{H. Yoshimura}, J. Geom. Phys. 94, 158--178 (2015; Zbl 1345.70031) Full Text: DOI arXiv OpenURL
Jiménez, Fernando Hamilton-Dirac systems for charged particles in gauge fields. (English) Zbl 1345.70022 J. Geom. Phys. 94, 35-49 (2015). MSC: 70G45 70H05 70H45 70S15 PDF BibTeX XML Cite \textit{F. Jiménez}, J. Geom. Phys. 94, 35--49 (2015; Zbl 1345.70022) Full Text: DOI arXiv OpenURL
Ohsawa, Tomoki Symmetry and conservation laws in semiclassical wave packet dynamics. (English) Zbl 1308.81096 J. Math. Phys. 56, No. 3, 032103, 21 p. (2015). MSC: 81Q20 81Q05 81R30 70H33 70G45 PDF BibTeX XML Cite \textit{T. Ohsawa}, J. Math. Phys. 56, No. 3, 032103, 21 p. (2015; Zbl 1308.81096) Full Text: DOI arXiv OpenURL
Gay-Balmaz, François; Yoshimura, Hiroaki Dirac reduction for nonholonomic mechanical systems and semidirect products. (English) Zbl 1302.70054 Adv. Appl. Math. 63, 131-213 (2015). MSC: 70H30 70H45 70H03 70H05 37J60 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, Adv. Appl. Math. 63, 131--213 (2015; Zbl 1302.70054) Full Text: DOI arXiv OpenURL
Cardin, Franco Elementary symplectic topology and mechanics. (English) Zbl 1405.70001 Lecture Notes of the Unione Matematica Italiana 16. Cham: Springer (ISBN 978-3-319-11025-7/pbk; 978-3-319-11026-4/ebook). xvii, 222 p. (2015). MSC: 70-01 70G45 35F21 35Q41 37J05 58E05 70H03 70H05 53-01 53D05 49-01 PDF BibTeX XML Cite \textit{F. Cardin}, Elementary symplectic topology and mechanics. Cham: Springer (2015; Zbl 1405.70001) Full Text: DOI OpenURL
Borisov, Alexey V.; Kazakov, Alexey O.; Sataev, Igor R. The reversal and chaotic attractor in the nonholonomic model of Chaplygin’s top. (English) Zbl 1358.70006 Regul. Chaotic Dyn. 19, No. 6, 718-733 (2014). MSC: 70E18 70F25 70H45 37J60 37N15 37G35 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 19, No. 6, 718--733 (2014; Zbl 1358.70006) Full Text: DOI OpenURL
Janyška, Josef Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle. (English) Zbl 1340.70017 Arch. Math., Brno 50, No. 5, 297-316 (2014). Reviewer: Martin Čadek (Brno) MSC: 70H40 70H45 70H33 70G45 58A20 83C10 PDF BibTeX XML Cite \textit{J. Janyška}, Arch. Math., Brno 50, No. 5, 297--316 (2014; Zbl 1340.70017) Full Text: DOI arXiv OpenURL
Cendra, Hernán; Etchechoury, María; Ferraro, Sebastián J. An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems. (English) Zbl 1304.70023 J. Geom. Mech. 6, No. 2, 167-236 (2014). MSC: 70H45 70G45 70H03 70H05 34A09 PDF BibTeX XML Cite \textit{H. Cendra} et al., J. Geom. Mech. 6, No. 2, 167--236 (2014; Zbl 1304.70023) Full Text: DOI arXiv OpenURL
García-Naranjo, Luis C.; Maciejewski, Andrzej J.; Marrero, Juan C.; Przybylska, Maria The inhomogeneous Suslov problem. (English) Zbl 1303.70018 Phys. Lett., A 378, No. 32-33, 2389-2394 (2014). MSC: 70F25 70E40 70H33 70H45 PDF BibTeX XML Cite \textit{L. C. García-Naranjo} et al., Phys. Lett., A 378, No. 32--33, 2389--2394 (2014; Zbl 1303.70018) Full Text: DOI arXiv OpenURL
Escalante, Alberto; Manuel-Cabrera, J. Hamiltonian dynamics of an exotic action for gravity in three dimensions. (English) Zbl 1303.70019 Ann. Phys. 343, 27-39 (2014). MSC: 70G45 70H45 70S15 83C10 PDF BibTeX XML Cite \textit{A. Escalante} and \textit{J. Manuel-Cabrera}, Ann. Phys. 343, 27--39 (2014; Zbl 1303.70019) Full Text: DOI arXiv OpenURL
Vallejo, José A.; Vorobiev, Yurii Invariant Poisson realizations and the averaging of Dirac structures. (English) Zbl 1301.53089 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 096, 20 p. (2014). MSC: 53D17 70G45 53C12 PDF BibTeX XML Cite \textit{J. A. Vallejo} and \textit{Y. Vorobiev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 096, 20 p. (2014; Zbl 1301.53089) Full Text: DOI arXiv EMIS OpenURL
Pavlov, V. P. Differential-geometric aspects of a nonholonomic Dirac mechanics: lessons of a model quadratic in velocities. (English. Russian original) Zbl 1298.81129 Theor. Math. Phys. 178, No. 3, 347-358 (2014); translation from Teor. Mat. Fiz. 178, No. 3, 403-415 (2014). MSC: 81S10 70H45 70F20 81T70 PDF BibTeX XML Cite \textit{V. P. Pavlov}, Theor. Math. Phys. 178, No. 3, 347--358 (2014; Zbl 1298.81129); translation from Teor. Mat. Fiz. 178, No. 3, 403--415 (2014) Full Text: DOI OpenURL
Hu, Shengda; Santoprete, Manuele Regularization of the Kepler problem on the three-sphere. (English) Zbl 1391.70020 Can. J. Math. 66, No. 4, 760-782 (2014). MSC: 70F05 70G45 70H45 PDF BibTeX XML Cite \textit{S. Hu} and \textit{M. Santoprete}, Can. J. Math. 66, No. 4, 760--782 (2014; Zbl 1391.70020) Full Text: DOI arXiv OpenURL
Deriglazov, A. A. Variational problem for Hamiltonian system on so\((k, m)\) Lie-Poisson manifold and dynamics of semiclassical spin. (English) Zbl 1286.70028 Mod. Phys. Lett. A 29, No. 10, Article ID 1450048, 18 p. (2014). MSC: 70S05 70G75 70G65 70G45 53D17 81R05 55R10 PDF BibTeX XML Cite \textit{A. A. Deriglazov}, Mod. Phys. Lett. A 29, No. 10, Article ID 1450048, 18 p. (2014; Zbl 1286.70028) Full Text: DOI arXiv OpenURL
Gołubowska, B.; Kovalchuk, V.; Sławianowski, J. J. Constraints and symmetry in mechanics of affine motion. (English) Zbl 1282.70030 J. Geom. Phys. 78, 59-79 (2014). MSC: 70F25 70G65 70H30 70H45 PDF BibTeX XML Cite \textit{B. Gołubowska} et al., J. Geom. Phys. 78, 59--79 (2014; Zbl 1282.70030) Full Text: DOI arXiv OpenURL
Borda, Nicolás; Fernández, Javier; Grillo, Sergio Discrete second order constrained Lagrangian systems: first results. (English) Zbl 1357.70014 J. Geom. Mech. 5, No. 4, 381-397 (2013). MSC: 70F25 70G75 70H45 70G45 PDF BibTeX XML Cite \textit{N. Borda} et al., J. Geom. Mech. 5, No. 4, 381--397 (2013; Zbl 1357.70014) Full Text: DOI arXiv OpenURL
Çiftçi, Ünver Leibniz-Dirac structures and nonconservative systems with constraints. (English) Zbl 1300.53073 J. Geom. Mech. 5, No. 2, 167-183 (2013). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 53D17 53D05 70F25 70G45 PDF BibTeX XML Cite \textit{Ü. Çiftçi}, J. Geom. Mech. 5, No. 2, 167--183 (2013; Zbl 1300.53073) Full Text: DOI arXiv OpenURL
van der Schaft, A. J. Port-Hamiltonian differential-algebraic systems. (English) Zbl 1275.34002 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations I. Berlin: Springer (ISBN 978-3-642-34927-0/pbk; 978-3-642-34928-7/ebook). Differential-Algebraic Equations Forum, 173-226 (2013). Reviewer: Werner M. Seiler (Kassel) MSC: 34-02 34A09 37J05 70G45 93B10 93B27 93C10 PDF BibTeX XML Cite \textit{A. J. van der Schaft}, in: Surveys in differential-algebraic equations I. Berlin: Springer. 173--226 (2013; Zbl 1275.34002) Full Text: DOI OpenURL
Thébault, Karim P. Y. Symplectic reduction and the problem of time in nonrelativistic mechanics. (English) Zbl 1319.70016 Br. J. Philos. Sci. 63, No. 4, 789-824 (2012). MSC: 70G45 70H45 PDF BibTeX XML Cite \textit{K. P. Y. Thébault}, Br. J. Philos. Sci. 63, No. 4, 789--824 (2012; Zbl 1319.70016) Full Text: DOI Link OpenURL
Bakša, Aleksandar Ehresmann connection in the geometry of nonholonomic systems. (English) Zbl 1289.37038 Publ. Inst. Math., Nouv. Sér. 91(105), 19-24 (2012). Reviewer: Borislav Gajić (Beograd) MSC: 37J60 70F25 70H45 70E18 70G45 PDF BibTeX XML Cite \textit{A. Bakša}, Publ. Inst. Math., Nouv. Sér. 91(105), 19--24 (2012; Zbl 1289.37038) Full Text: DOI OpenURL
Tsiganov, A. V. One family of conformally Hamiltonian systems. (English. Russian original) Zbl 1282.81104 Theor. Math. Phys. 173, No. 2, 1481-1497 (2012); translation from Teor. Mat. Fiz. 173, No. 2, 179-196 (2012). MSC: 81R12 81Q05 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, Theor. Math. Phys. 173, No. 2, 1481--1497 (2012; Zbl 1282.81104); translation from Teor. Mat. Fiz. 173, No. 2, 179--196 (2012) Full Text: DOI OpenURL
Leok, Melvin; Ohsawa, Tomoki; Sosa, Diana Hamilton-Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints. (English) Zbl 1277.70022 J. Math. Phys. 53, No. 7, 072905, 29 p. (2012). Reviewer: Božidar Jovanović (Beograd) MSC: 70H20 70H45 70F25 37J60 PDF BibTeX XML Cite \textit{M. Leok} et al., J. Math. Phys. 53, No. 7, 072905, 29 p. (2012; Zbl 1277.70022) Full Text: DOI arXiv OpenURL
Xie, Jiafang; Pang, Shuo; Zou, Jietao; Li, Guofu The Birkhoffian expression of a Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm. (Chinese. English summary) Zbl 1289.70019 Acta Phys. Sin. 61, No. 23, 230201 (2012). MSC: 70F25 70G45 70H45 PDF BibTeX XML Cite \textit{J. Xie} et al., Acta Phys. Sin. 61, No. 23, 230201 (2012; Zbl 1289.70019) OpenURL
Wang, Xiaoxiao; Zhang, Meiling; Han, Yuelin; Jia, Liqun Mei symmetry and Mei conserved quantity of Nielsen’s equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev’s type. (Chinese. English summary) Zbl 1274.70032 Acta Phys. Sin. 61, No. 20, 200203 (2012). MSC: 70H33 70H45 70F25 PDF BibTeX XML Cite \textit{X. Wang} et al., Acta Phys. Sin. 61, No. 20, 200203 (2012; Zbl 1274.70032) OpenURL
Leok, Melvin; Sosa, Diana Dirac structures and Hamilton-Jacobi theory for Lagrangian mechanics on Lie algebroids. (English) Zbl 1277.70018 J. Geom. Mech. 4, No. 4, 421-442 (2012). Reviewer: Božidar Jovanović (Beograd) MSC: 70G45 70H45 53D17 70H20 37J60 PDF BibTeX XML Cite \textit{M. Leok} and \textit{D. Sosa}, J. Geom. Mech. 4, No. 4, 421--442 (2012; Zbl 1277.70018) Full Text: DOI arXiv OpenURL
Janyška, Josef; Vitolo, Raffaele On the characterization of infinitesimal symmetries of the relativistic phase space. (English) Zbl 1339.70036 J. Phys. A, Math. Theor. 45, No. 48, Article ID 485205, 28 p. (2012). MSC: 70H40 81S30 70H45 70H33 70G45 58A20 PDF BibTeX XML Cite \textit{J. Janyška} and \textit{R. Vitolo}, J. Phys. A, Math. Theor. 45, No. 48, Article ID 485205, 28 p. (2012; Zbl 1339.70036) Full Text: DOI arXiv OpenURL
Bolotin, Sergey The problem of optimal control of a Chaplygin ball by internal rotors. (English) Zbl 1264.37015 Regul. Chaotic Dyn. 17, No. 6, 559-570 (2012). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J60 37J35 70E18 70F25 70H45 93B27 37N35 PDF BibTeX XML Cite \textit{S. Bolotin}, Regul. Chaotic Dyn. 17, No. 6, 559--570 (2012; Zbl 1264.37015) Full Text: DOI OpenURL
Colombo, Leonardo; Martín de Diego, David; Zuccalli, Marcela On variational integrators for optimal control of mechanical control systems. (English) Zbl 1264.70045 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 161-171 (2012). MSC: 70H25 70Q05 70H45 49M25 65K10 70F25 PDF BibTeX XML Cite \textit{L. Colombo} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 161--171 (2012; Zbl 1264.70045) Full Text: DOI OpenURL
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support. (English) Zbl 1253.37063 Regul. Chaotic Dyn. 17, No. 2, 170-190 (2012). MSC: 37J60 37J35 70E18 70F25 70H45 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 17, No. 2, 170--190 (2012; Zbl 1253.37063) Full Text: DOI OpenURL
Kosmann-Schwarzbach, Yvette Dirac pairs. (English) Zbl 1320.53101 J. Geom. Mech. 4, No. 2, 165-180 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B63 70G45 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach}, J. Geom. Mech. 4, No. 2, 165--180 (2012; Zbl 1320.53101) Full Text: DOI arXiv OpenURL
Jotz, Madeleine; Ratiu, T. S. Dirac structures, nonholonomic systems and reduction. (English) Zbl 1247.53096 Rep. Math. Phys. 69, No. 1, 5-56 (2012). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D20 37J15 70F25 70H45 37J60 53D17 PDF BibTeX XML Cite \textit{M. Jotz} and \textit{T. S. Ratiu}, Rep. Math. Phys. 69, No. 1, 5--56 (2012; Zbl 1247.53096) Full Text: DOI arXiv OpenURL
Śniatycki, Jȩdrzej Reduction of symmetries of Dirac structures. (English) Zbl 1252.53094 J. Fixed Point Theory Appl. 10, No. 2, 339-358 (2011). MSC: 53D17 70G45 70G65 57R55 58A35 PDF BibTeX XML Cite \textit{J. Śniatycki}, J. Fixed Point Theory Appl. 10, No. 2, 339--358 (2011; Zbl 1252.53094) Full Text: DOI OpenURL
Havelková, Monika A geometric analysis of dynamical systems with singular Lagrangians. (English) Zbl 1251.37052 Commun. Math. 19, No. 2, 169-178 (2011). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J05 70G45 70H03 70H45 PDF BibTeX XML Cite \textit{M. Havelková}, Commun. Math. 19, No. 2, 169--178 (2011; Zbl 1251.37052) Full Text: EuDML OpenURL
Bates, Larry M.; Nester, James M. On d’Alembert’s principle. (English) Zbl 1323.70079 Commun. Math. 19, No. 1, 57-72 (2011). MSC: 70H33 70H45 37J60 70F25 PDF BibTeX XML Cite \textit{L. M. Bates} and \textit{J. M. Nester}, Commun. Math. 19, No. 1, 57--72 (2011; Zbl 1323.70079) Full Text: EuDML OpenURL
Lawson, Jeffrey K.; Schmah, Tanya; Stoica, Cristina Euler-Poincaré reduction for systems with configuration space isotropy. (English) Zbl 1300.37038 J. Geom. Mech. 3, No. 2, 261-275 (2011). MSC: 37J15 70G45 70H03 70H33 70H45 PDF BibTeX XML Cite \textit{J. K. Lawson} et al., J. Geom. Mech. 3, No. 2, 261--275 (2011; Zbl 1300.37038) Full Text: DOI OpenURL
Grabowska, Katarzyna; Grabowski, Janusz Dirac algebroids in Lagrangian and Hamiltonian mechanics. (English) Zbl 1223.37064 J. Geom. Phys. 61, No. 11, 2233-2253 (2011). MSC: 37J05 70G45 70F25 70H45 70H03 70H25 17B66 PDF BibTeX XML Cite \textit{K. Grabowska} and \textit{J. Grabowski}, J. Geom. Phys. 61, No. 11, 2233--2253 (2011; Zbl 1223.37064) Full Text: DOI arXiv OpenURL
Jotz, M.; Ratiu, T. S.; Śniatycki, J. Singular reduction of Dirac structures. (English) Zbl 1385.70039 Trans. Am. Math. Soc. 363, No. 6, 2967-3013 (2011). MSC: 70H45 70G65 70G45 53D17 53D20 PDF BibTeX XML Cite \textit{M. Jotz} et al., Trans. Am. Math. Soc. 363, No. 6, 2967--3013 (2011; Zbl 1385.70039) Full Text: DOI arXiv OpenURL
Fortney, Jon Pierre Dirac structures in pseudo-gradient systems with an emphasis on electrical networks. (English) Zbl 1469.94191 IEEE Trans. Circuits Syst. I, Regul. Pap. 57, No. 7, 1732-1745 (2010). MSC: 94C05 70G45 70H45 PDF BibTeX XML Cite \textit{J. P. Fortney}, IEEE Trans. Circuits Syst. I, Regul. Pap. 57, No. 7, 1732--1745 (2010; Zbl 1469.94191) Full Text: DOI OpenURL
Campos, Cédric M. Vakonomic constraints in higher-order classical field theory. (English) Zbl 1330.70084 Asorey, Manuel (ed.) et al., XVIII international fall workshop on geometry and physics. Selected papers of the workshop, Benasque, Spain, September 6–11, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0809-8). AIP Conference Proceedings 1260, 119-125 (2010). MSC: 70S05 70H45 70H50 70G45 PDF BibTeX XML Cite \textit{C. M. Campos}, AIP Conf. Proc. 1260, 119--125 (2010; Zbl 1330.70084) Full Text: DOI OpenURL
Leoka, Melvin; Ohsawa, Tomoki Discrete Dirac structures and implicit discrete Lagrangian and Hamiltonian systems. (English) Zbl 1330.70001 Asorey, Manuel (ed.) et al., XVIII international fall workshop on geometry and physics. Selected papers of the workshop, Benasque, Spain, September 6–11, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0809-8). AIP Conference Proceedings 1260, 91-102 (2010). MSC: 70-01 70H45 70H30 37J60 70H05 PDF BibTeX XML Cite \textit{M. Leoka} and \textit{T. Ohsawa}, AIP Conf. Proc. 1260, 91--102 (2010; Zbl 1330.70001) Full Text: DOI Link OpenURL
Udwadia, Firdaus E.; Wanichanon, Thanapat Hamel’s paradox and the foundations of analytical dynamics. (English) Zbl 1381.70029 Appl. Math. Comput. 217, No. 3, 1253-1265 (2010). MSC: 70F25 70-03 70H45 PDF BibTeX XML Cite \textit{F. E. Udwadia} and \textit{T. Wanichanon}, Appl. Math. Comput. 217, No. 3, 1253--1265 (2010; Zbl 1381.70029) Full Text: DOI OpenURL
Barbero-Liñán, María; Muñoz-Lecanda, Miguel C. Constraint algorithm for extremals in optimal control problems. (English) Zbl 1181.49021 Int. J. Geom. Methods Mod. Phys. 6, No. 7, 1221-1233 (2009). MSC: 49K15 70G45 70H05 70H45 49M05 34H05 PDF BibTeX XML Cite \textit{M. Barbero-Liñán} and \textit{M. C. Muñoz-Lecanda}, Int. J. Geom. Methods Mod. Phys. 6, No. 7, 1221--1233 (2009; Zbl 1181.49021) Full Text: DOI arXiv OpenURL
Merker, Jochen On the geometric structure of Hamiltonian systems with ports. (English) Zbl 1203.53082 J. Nonlinear Sci. 19, No. 6, 717-738 (2009). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 53D17 70G45 PDF BibTeX XML Cite \textit{J. Merker}, J. Nonlinear Sci. 19, No. 6, 717--738 (2009; Zbl 1203.53082) Full Text: DOI OpenURL
Romano, Giovanni; Barretta, Raffaele; Barretta, Annalisa On Maupertuis principle in dynamics. (English) Zbl 1230.37067 Rep. Math. Phys. 63, No. 3, 331-346 (2009). MSC: 37J05 70G45 70H25 70H45 PDF BibTeX XML Cite \textit{G. Romano} et al., Rep. Math. Phys. 63, No. 3, 331--346 (2009; Zbl 1230.37067) Full Text: DOI OpenURL
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S. Chaplygin ball over a fixed sphere: an explicit integration. (English) Zbl 1229.37080 Regul. Chaotic Dyn. 13, No. 6, 557-571 (2008). MSC: 37J60 37J35 70H45 70F25 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 13, No. 6, 557--571 (2008; Zbl 1229.37080) Full Text: DOI arXiv OpenURL
Iglesias, D.; Marrero, J. C.; Martín de Diego, D.; Sosa, D. Singular Lagrangian systems and variational constrained mechanics on Lie algebroids. (English) Zbl 1229.37045 Dyn. Syst. 23, No. 3, 351-397 (2008). MSC: 37J05 37J60 70F25 70H03 70H45 70G45 PDF BibTeX XML Cite \textit{D. Iglesias} et al., Dyn. Syst. 23, No. 3, 351--397 (2008; Zbl 1229.37045) Full Text: DOI arXiv OpenURL
Balseiro, Paula; Solomin, Jorge E. Orthogonal projections and the dynamics of constrained mechanical systems. (English) Zbl 1167.70007 Q. Appl. Math. 66, No. 3, 437-446 (2008). MSC: 70F25 70H45 70H30 PDF BibTeX XML Cite \textit{P. Balseiro} and \textit{J. E. Solomin}, Q. Appl. Math. 66, No. 3, 437--446 (2008; Zbl 1167.70007) Full Text: DOI Link OpenURL
García-Naranjo, L. Reduction of almost Poisson brackets for nonholonomic systems on Lie groups. (English) Zbl 1229.37088 Regul. Chaotic Dyn. 12, No. 4, 365-388 (2007). MSC: 37J60 70G45 70F25 70G65 70H45 PDF BibTeX XML Cite \textit{L. García-Naranjo}, Regul. Chaotic Dyn. 12, No. 4, 365--388 (2007; Zbl 1229.37088) Full Text: DOI OpenURL
Yoshimura, Hiroaki; Marsden, Jerrold E. Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems. (English) Zbl 1130.37028 Bullo, Francesco (ed.) et al., Lagrangian and Hamiltonian methods for nonlinear control 2006. Proceedings from the 3rd IFAC workshop, Nagoya, Japan, July 19–21, 2006. Berlin: Springer (ISBN 978-3-540-73889-3/pbk). Lecture Notes in Control and Information Sciences 366, 233-247 (2007). MSC: 37J05 70H05 70H03 70G45 70H45 94C05 PDF BibTeX XML Cite \textit{H. Yoshimura} and \textit{J. E. Marsden}, Lect. Notes Control Inf. Sci. 366, 233--247 (2007; Zbl 1130.37028) Full Text: DOI OpenURL
Tekkoyun, Mehmet A note on constrained complex Hamiltonian mechanics. (English) Zbl 1154.70008 Differ. Geom. Dyn. Syst. 8, 262-267 (2006). MSC: 70H45 70G45 70F25 70F20 PDF BibTeX XML Cite \textit{M. Tekkoyun}, Differ. Geom. Dyn. Syst. 8, 262--267 (2006; Zbl 1154.70008) OpenURL
Burdík, Čestmir; Paal, Eugen; Virkepu, Jüri \(SO(2)\) and Hamilton-Dirac mechanics. (English) Zbl 1153.70014 J. Nonlinear Math. Phys. 13, Suppl. 1, 37-43 (2006). MSC: 70H45 70G65 70G45 PDF BibTeX XML Cite \textit{Č. Burdík} et al., J. Nonlinear Math. Phys. 13, 37--43 (2006; Zbl 1153.70014) Full Text: DOI OpenURL
Liu, Bao-Kang; He, Long-Guang Some properties of Dirac-Nijenhuis manifolds. (English) Zbl 1136.53057 Rep. Math. Phys. 58, No. 2, 165-194 (2006). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D17 37J05 70G45 PDF BibTeX XML Cite \textit{B.-K. Liu} and \textit{L.-G. He}, Rep. Math. Phys. 58, No. 2, 165--194 (2006; Zbl 1136.53057) Full Text: DOI OpenURL
Fedorov, Yuri N.; Jovanović, Božidar Žarko Quasi-Chaplygin systems and nonholonomic rigid body dynamics. (English) Zbl 1209.70013 Lett. Math. Phys. 76, No. 2-3, 215-230 (2006). MSC: 70F25 37J60 70H45 70H33 70G45 70E18 PDF BibTeX XML Cite \textit{Y. N. Fedorov} and \textit{B. Ž. Jovanović}, Lett. Math. Phys. 76, No. 2--3, 215--230 (2006; Zbl 1209.70013) Full Text: DOI arXiv OpenURL
Yoshimura, Hiroaki; Marsden, Jerrold E. Dirac structures in Lagrangian mechanics. II: Variational structures. (English) Zbl 1121.53057 J. Geom. Phys. 57, No. 1, 209-250 (2006). MSC: 53D17 37J05 49J15 70G45 70H03 70H45 94C05 PDF BibTeX XML Cite \textit{H. Yoshimura} and \textit{J. E. Marsden}, J. Geom. Phys. 57, No. 1, 209--250 (2006; Zbl 1121.53057) Full Text: DOI OpenURL
Yoshimura, Hiroaki; Marsden, Jerrold E. Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. (English) Zbl 1107.53053 J. Geom. Phys. 57, No. 1, 133-156 (2006). MSC: 53D17 37J05 70F25 70G45 70H03 70H45 94C05 PDF BibTeX XML Cite \textit{H. Yoshimura} and \textit{J. E. Marsden}, J. Geom. Phys. 57, No. 1, 133--156 (2006; Zbl 1107.53053) Full Text: DOI OpenURL
Bratchikov, A. V. New realizations of observables in dynamical systems with second-class constraints. (English) Zbl 1102.70009 J. Geom. Phys. 56, No. 10, 2109-2116 (2006). MSC: 70H45 70G45 PDF BibTeX XML Cite \textit{A. V. Bratchikov}, J. Geom. Phys. 56, No. 10, 2109--2116 (2006; Zbl 1102.70009) Full Text: DOI arXiv Link OpenURL
Cariñena, José F.; Fernández-Núñez, José The inverse of a singular linear transformation and some applications in constrained mechanics. (English) Zbl 1098.70015 J. Phys. A, Math. Gen. 39, No. 34, 10755-10771 (2006). MSC: 70G45 70H45 PDF BibTeX XML Cite \textit{J. F. Cariñena} and \textit{J. Fernández-Núñez}, J. Phys. A, Math. Gen. 39, No. 34, 10755--10771 (2006; Zbl 1098.70015) Full Text: DOI OpenURL
van der Schaft, Arjan Port-Hamiltonian systems: an introductory survey. (English) Zbl 1108.93012 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1339-1365 (2006). MSC: 93A30 70H05 70H45 70Q05 70G45 93B29 37J60 93C10 93C15 93C20 37K05 PDF BibTeX XML Cite \textit{A. van der Schaft}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 1339--1365 (2006; Zbl 1108.93012) OpenURL
Martínez-Merino, Aldo A.; Montesinos, Merced Hamilton–Jacobi theory for Hamiltonian systems with non-canonical symplectic structures. (English) Zbl 1087.70013 Ann. Phys. 321, No. 2, 318-330 (2006). MSC: 70H20 70G45 PDF BibTeX XML Cite \textit{A. A. Martínez-Merino} and \textit{M. Montesinos}, Ann. Phys. 321, No. 2, 318--330 (2006; Zbl 1087.70013) Full Text: DOI arXiv OpenURL
Marciniak, Krzysztof; Błaszak, Maciej Geometric reduction of Poisson operators. (English) Zbl 1136.53329 Gaeta, Giuseppe (ed.) et al., SPT 2004. Symmetry and perturbation theory. Proceedings of the 5th international conference, Cala Gonone, Sardinia, Italy, May 30–June 6, 2004. Singapore: World Scientific (ISBN 981-256-136-6/hbk). 193-197 (2005). MSC: 53D17 70H45 70F20 70G45 PDF BibTeX XML Cite \textit{K. Marciniak} and \textit{M. Błaszak}, in: SPT 2004. Symmetry and perturbation theory. Proceedings of the 5th international conference, Cala Gonone, Sardinia, Italy, May 30--June 6, 2004. Singapore: World Scientific. 193--197 (2005; Zbl 1136.53329) OpenURL