Wang, Hong Symmetric reduction and Hamilton-Jacobi equations of the controlled underwater vehicle-rotor system. (English) Zbl 07812212 Commun. Math. Res. 39, No. 4, 575-644 (2023). MSC: 70H33 70H20 70Q05 PDFBibTeX XMLCite \textit{H. Wang}, Commun. Math. Res. 39, No. 4, 575--644 (2023; Zbl 07812212) Full Text: DOI arXiv
Rodríguez Abella, Álvaro Interconnection of Lagrange-Dirac systems through nonstandard interaction structures. (English) Zbl 07792339 Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350124, 28 p. (2023). MSC: 70H45 70H33 70F25 70Q05 PDFBibTeX XMLCite \textit{Á. Rodríguez Abella}, Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350124, 28 p. (2023; Zbl 07792339) Full Text: DOI
Esen, Oğul; Kudeyt, Mahmut; Sütlü, Serkan Tulczyjew’s triplet with an Ehresmann connection. I: Trivialization and reduction. (English) Zbl 07787132 Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350059, 37 p. (2023). MSC: 70H33 70G45 PDFBibTeX XMLCite \textit{O. Esen} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350059, 37 p. (2023; Zbl 07787132) Full Text: DOI arXiv
Correa, Francisco; Inzunza, Luis; Marquette, Ian Non-Hermitian superintegrable systems. (English) Zbl 07733834 J. Phys. A, Math. Theor. 56, No. 34, Article ID 345207, 20 p. (2023). MSC: 81Q12 70H05 81Q80 22E70 15A21 57R60 81R40 PDFBibTeX XMLCite \textit{F. Correa} et al., J. Phys. A, Math. Theor. 56, No. 34, Article ID 345207, 20 p. (2023; Zbl 07733834) Full Text: DOI arXiv
Braddell, Roisin; Kiesenhofer, Anna; Miranda, Eva A \(b\)-symplectic slice theorem. (English) Zbl 07731242 Bull. Lond. Math. Soc. 55, No. 1, 90-112 (2023). Reviewer: Cédric Oms (Bilbao) MSC: 53D05 53D17 58D19 PDFBibTeX XMLCite \textit{R. Braddell} et al., Bull. Lond. Math. Soc. 55, No. 1, 90--112 (2023; Zbl 07731242) Full Text: DOI arXiv
Xiao, Husileng On finite-dimensional representations of finite \(W\)-superalgebras. (English) Zbl 07726225 Sci. China, Math. 66, No. 8, 1737-1750 (2023). MSC: 17B10 17B63 17B69 PDFBibTeX XMLCite \textit{H. Xiao}, Sci. China, Math. 66, No. 8, 1737--1750 (2023; Zbl 07726225) Full Text: DOI arXiv
Berbel, Miguel Á.; Castrillón López, Marco Poisson-Poincaré reduction for field theories. (English) Zbl 1521.70034 J. Geom. Phys. 191, Article ID 104879, 23 p. (2023). MSC: 70S05 70S10 70G45 70G65 PDFBibTeX XMLCite \textit{M. Á. Berbel} and \textit{M. Castrillón López}, J. Geom. Phys. 191, Article ID 104879, 23 p. (2023; Zbl 1521.70034) Full Text: DOI arXiv
Matveeva, Anastasia; Miranda, Eva Reduction theory for singular symplectic manifolds and singular forms on moduli spaces. (English) Zbl 1518.53063 Adv. Math. 428, Article ID 109161, 42 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D20 53D17 53D50 37J39 PDFBibTeX XMLCite \textit{A. Matveeva} and \textit{E. Miranda}, Adv. Math. 428, Article ID 109161, 42 p. (2023; Zbl 1518.53063) Full Text: DOI arXiv
Yang, Cheng On the Hamiltonian and geometric structure of Langmuir circulation. (English) Zbl 1517.76015 Commun. Anal. Mech. 15, No. 2, 58-69 (2023). MSC: 76B07 76B03 76M60 76E30 35Q31 53Z05 PDFBibTeX XMLCite \textit{C. Yang}, Commun. Anal. Mech. 15, No. 2, 58--69 (2023; Zbl 1517.76015) Full Text: DOI
Komech, A. I.; Kopylova, E. A. On the stability of solitons for the Maxwell-Lorentz equations with rotating particle. (English) Zbl 1521.35169 Milan J. Math. 91, No. 1, 155-173 (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A35 35C08 35B35 37K06 37K40 53D17 70S05 70G65 70G45 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Milan J. Math. 91, No. 1, 155--173 (2023; Zbl 1521.35169) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle. (English) Zbl 1512.35566 J. Math. Anal. Appl. 522, No. 2, Article ID 126976, 21 p. (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A35 78A02 37K40 35C08 35A01 35A02 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, J. Math. Anal. Appl. 522, No. 2, Article ID 126976, 21 p. (2023; Zbl 1512.35566) Full Text: DOI
Wang, Hong Hamilton-Jacobi equations for a regular controlled Hamiltonian system and its reduced systems. (English) Zbl 07649539 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 855-906 (2023). MSC: 37-XX 70-XX PDFBibTeX XMLCite \textit{H. Wang}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 855--906 (2023; Zbl 07649539) Full Text: DOI arXiv
Ohsawa, Tomoki Shape dynamics of \(N\) point vortices on the sphere. (English) Zbl 1509.53092 Nonlinearity 36, No. 2, 1000-1028 (2023). MSC: 53D20 70G65 76B47 PDFBibTeX XMLCite \textit{T. Ohsawa}, Nonlinearity 36, No. 2, 1000--1028 (2023; Zbl 1509.53092) Full Text: DOI arXiv
Iglesias Ponte, D.; Marrero, J. C.; Padrón, E. Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi-Reeb dynamics. (English) Zbl 1516.37067 Anal. Math. Phys. 13, No. 1, Paper No. 10, 23 p. (2023). Reviewer: Marco Zambon (Leuven) MSC: 37J39 53D17 53D25 70G45 70E17 37J06 PDFBibTeX XMLCite \textit{D. Iglesias Ponte} et al., Anal. Math. Phys. 13, No. 1, Paper No. 10, 23 p. (2023; Zbl 1516.37067) Full Text: DOI arXiv
Niu, Jing; Jia, Yuntao; Sun, Jindong A new piecewise reproducing kernel function algorithm for solving nonlinear Hamiltonian systems. (English) Zbl 1524.65948 Appl. Math. Lett. 136, Article ID 108451, 7 p. (2023). MSC: 65P10 65L60 PDFBibTeX XMLCite \textit{J. Niu} et al., Appl. Math. Lett. 136, Article ID 108451, 7 p. (2023; Zbl 1524.65948) Full Text: DOI
Capriotti, S.; Díaz, V.; García-Toraño Andrés, E.; Mestdag, T. Cotangent bundle reduction and Routh reduction for polysymplectic manifolds. (English) Zbl 1511.53076 J. Phys. A, Math. Theor. 55, No. 41, Article ID 415401, 36 p. (2022). MSC: 53D20 37J39 70S05 53D42 70G45 53D05 PDFBibTeX XMLCite \textit{S. Capriotti} et al., J. Phys. A, Math. Theor. 55, No. 41, Article ID 415401, 36 p. (2022; Zbl 1511.53076) Full Text: DOI arXiv
de León, Manuel; Lainz, Manuel; López-Gordón, Asier Geometric Hamilton-Jacobi theory for systems with external forces. (English) Zbl 1507.70027 J. Math. Phys. 63, No. 2, Article ID 022901, 26 p. (2022). MSC: 70H20 35F21 70G45 70F25 37J60 70S05 PDFBibTeX XMLCite \textit{M. de León} et al., J. Math. Phys. 63, No. 2, Article ID 022901, 26 p. (2022; Zbl 1507.70027) Full Text: DOI arXiv
Ratiu, Tudor S.; Ziegler, François Symplectic induction, prequantum induction, and prequantum multiplicities. (English) Zbl 1493.53108 Commun. Contemp. Math. 24, No. 4, Article ID 2150057, 13 p. (2022). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D20 53D50 22D30 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{F. Ziegler}, Commun. Contemp. Math. 24, No. 4, Article ID 2150057, 13 p. (2022; Zbl 1493.53108) Full Text: DOI arXiv
Stanciu, Miron Locally conformally symplectic reduction of the cotangent bundle. (English) Zbl 1503.53154 Ann. Global Anal. Geom. 61, No. 3, 533-551 (2022). Reviewer: David Fernández (Bielefeld) MSC: 53D20 53D05 PDFBibTeX XMLCite \textit{M. Stanciu}, Ann. Global Anal. Geom. 61, No. 3, 533--551 (2022; Zbl 1503.53154) Full Text: DOI arXiv
Nagaoka, Takahiro The universal covers of hypertoric varieties and Bogomolov’s decomposition. (English) Zbl 1492.14023 Math. Z. 300, No. 3, 2533-2569 (2022). Reviewer: Ana María Botero (Regensburg) MSC: 14E20 53D20 14M25 52B40 52C35 PDFBibTeX XMLCite \textit{T. Nagaoka}, Math. Z. 300, No. 3, 2533--2569 (2022; Zbl 1492.14023) Full Text: DOI arXiv
Terze, Zdravko; Pandža, Viktor; Andrić, Marijan; Zlatar, Dario Flapping wing coupled dynamics in Lie group setting. (English) Zbl 1485.76016 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 360-367 (2021). MSC: 76B10 76B47 76M60 22E70 PDFBibTeX XMLCite \textit{Z. Terze} et al., Lect. Notes Comput. Sci. 12829, 360--367 (2021; Zbl 1485.76016) Full Text: DOI
Grigoryeva, Lyudmila; Ortega, Juan-Pablo Dimension reduction in recurrent networks by canonicalization. (English) Zbl 1482.68196 J. Geom. Mech. 13, No. 4, 647-677 (2021). MSC: 68T05 93B15 PDFBibTeX XMLCite \textit{L. Grigoryeva} and \textit{J.-P. Ortega}, J. Geom. Mech. 13, No. 4, 647--677 (2021; Zbl 1482.68196) Full Text: DOI arXiv
Terze, Zdravko; Pandža, Viktor; Andrić, Marijan; Zlatar, Dario Computational dynamics of reduced coupled multibody-fluid system in Lie group setting. (English) Zbl 07457734 Barbaresco, Frédéric (ed.) et al., Geometric structures of statistical physics, information geometry, and learning. Proceedings of the workshop on joint structures and common foundation of statistical physics, information geometry and inference for learning, SPIGL’20, Les Houches, France, July 27–31, 2020. Cham: Springer. Springer Proc. Math. Stat. 361, 298-307 (2021). MSC: 70E55 70G65 70-08 74F10 76B10 PDFBibTeX XMLCite \textit{Z. Terze} et al., Springer Proc. Math. Stat. 361, 298--307 (2021; Zbl 07457734) Full Text: DOI
Modin, Klas; Viviani, Milo Integrability of point-vortex dynamics via symplectic reduction: a survey. (English) Zbl 1482.37056 Arnold Math. J. 7, No. 3, 357-385 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J30 37J39 53D20 70H06 76B47 PDFBibTeX XMLCite \textit{K. Modin} and \textit{M. Viviani}, Arnold Math. J. 7, No. 3, 357--385 (2021; Zbl 1482.37056) Full Text: DOI arXiv
Terze, Zdravko; Pandža, Viktor; Andrić, Marijan; Zlatar, Dario Lie group dynamics of reduced multibody-fluid systems. (English) Zbl 1493.70029 Math. Mech. Complex Syst. 9, No. 2, 167-177 (2021). MSC: 70E55 74F10 76M60 PDFBibTeX XMLCite \textit{Z. Terze} et al., Math. Mech. Complex Syst. 9, No. 2, 167--177 (2021; Zbl 1493.70029) Full Text: DOI
Borisov, A. V.; Tsiganov, A. V. Chaplygin ball in a solenoidal field. (English. Russian original) Zbl 1480.37073 Russ. Math. Surv. 76, No. 3, 546-548 (2021); translation from Usp. Mat. Nauk 76, No. 3, 185-186 (2021). MSC: 37J60 37J39 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Russ. Math. Surv. 76, No. 3, 546--548 (2021; Zbl 1480.37073); translation from Usp. Mat. Nauk 76, No. 3, 185--186 (2021) Full Text: DOI
Khesin, Boris; Misiołek, Gerard; Modin, Klas Geometric hydrodynamics and infinite-dimensional Newton’s equations. (English) Zbl 1473.35444 Bull. Am. Math. Soc., New Ser. 58, No. 3, 377-442 (2021). MSC: 35Q35 76A02 76-02 58B20 37K65 PDFBibTeX XMLCite \textit{B. Khesin} et al., Bull. Am. Math. Soc., New Ser. 58, No. 3, 377--442 (2021; Zbl 1473.35444) Full Text: DOI arXiv
Geudens, Stephane; Zambon, Marco Coisotropic submanifolds in \(b\)-symplectic geometry. (English) Zbl 1480.53092 Can. J. Math. 73, No. 3, 737-768 (2021). Reviewer: Luca Vitagliano (Fisciano) MSC: 53D05 53D17 PDFBibTeX XMLCite \textit{S. Geudens} and \textit{M. Zambon}, Can. J. Math. 73, No. 3, 737--768 (2021; Zbl 1480.53092) Full Text: DOI arXiv
Yang, Cheng Vortex motion of the Euler and lake equations. (English) Zbl 1470.37080 J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021). Reviewer: Xiang Yu (Chengdu) MSC: 37J35 37J30 37N05 70F10 PDFBibTeX XMLCite \textit{C. Yang}, J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021; Zbl 1470.37080) Full Text: DOI arXiv
Esen, Oğul; Kudeyt, Mahmut; Sütlü, Serkan Second order Lagrangian dynamics on double cross product groups. (English) Zbl 1470.22008 J. Geom. Phys. 159, Article ID 103934, 19 p. (2021). MSC: 22E70 70H50 37J37 PDFBibTeX XMLCite \textit{O. Esen} et al., J. Geom. Phys. 159, Article ID 103934, 19 p. (2021; Zbl 1470.22008) Full Text: DOI arXiv
King, Nolan; Ohsawa, Tomoki Hamiltonian dynamics of semiclassical Gaussian wave packets in electromagnetic potentials. (English) Zbl 1514.81175 J. Phys. A, Math. Theor. 53, No. 10, Article ID 105201, 17 p. (2020). MSC: 81S10 70H33 81Q20 37J39 53D05 PDFBibTeX XMLCite \textit{N. King} and \textit{T. Ohsawa}, J. Phys. A, Math. Theor. 53, No. 10, Article ID 105201, 17 p. (2020; Zbl 1514.81175) Full Text: DOI arXiv
Fernández, Javier; Tori, Cora; Zuccalli, Marcela Lagrangian reduction of nonholonomic discrete mechanical systems by stages. (English) Zbl 1480.37074 J. Geom. Mech. 12, No. 4, 607-639 (2020). MSC: 37J60 37J39 37J06 70G45 70G65 70G75 PDFBibTeX XMLCite \textit{J. Fernández} et al., J. Geom. Mech. 12, No. 4, 607--639 (2020; Zbl 1480.37074) Full Text: DOI arXiv
Ferrer, S.; Crespo, F.; Zapata, J. L. Reduced 4D oscillators and orbital elements in Keplerian systems: Cushman-Deprit coordinates. (English) Zbl 1470.70020 Celest. Mech. Dyn. Astron. 132, No. 11-12, Paper No. 52, 22 p. (2020). MSC: 70F15 PDFBibTeX XMLCite \textit{S. Ferrer} et al., Celest. Mech. Dyn. Astron. 132, No. 11--12, Paper No. 52, 22 p. (2020; Zbl 1470.70020) Full Text: DOI
Colombo, Leonardo J.; Eyrea Irazú, María Emma; García-Toraño Andrés, Eduardo A note on hybrid Routh reduction for time-dependent Lagrangian systems. (English) Zbl 1480.70043 J. Geom. Mech. 12, No. 2, 309-321 (2020). MSC: 70S10 37J06 70H03 PDFBibTeX XMLCite \textit{L. J. Colombo} et al., J. Geom. Mech. 12, No. 2, 309--321 (2020; Zbl 1480.70043) Full Text: DOI arXiv
Diez, Tobias; Rudolph, Gerd Singular symplectic cotangent bundle reduction of gauge field theory. (English) Zbl 1457.81071 J. Math. Phys. 61, No. 9, 092902, 42 p. (2020). MSC: 81T13 81T16 70S15 81S10 53D50 81S30 PDFBibTeX XMLCite \textit{T. Diez} and \textit{G. Rudolph}, J. Math. Phys. 61, No. 9, 092902, 42 p. (2020; Zbl 1457.81071) Full Text: DOI arXiv
Crespo, Francisco; Ferrer, Sebastián Alternative reduction by stages of Keplerian systems. Positive, negative, and zero energy. (English) Zbl 1473.70027 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1525-1539 (2020). MSC: 70F16 53D20 PDFBibTeX XMLCite \textit{F. Crespo} and \textit{S. Ferrer}, SIAM J. Appl. Dyn. Syst. 19, No. 2, 1525--1539 (2020; Zbl 1473.70027) Full Text: DOI
Ohsawa, Tomoki Geometric kinematic control of a spherical rolling robot. (English) Zbl 1475.70009 J. Nonlinear Sci. 30, No. 1, 67-91 (2020). Reviewer: Clementina Mladenova (Sofia) MSC: 70E60 70Q05 93B05 93B27 93C15 49N90 PDFBibTeX XMLCite \textit{T. Ohsawa}, J. Nonlinear Sci. 30, No. 1, 67--91 (2020; Zbl 1475.70009) Full Text: DOI arXiv
Yang, Cheng; Khesin, Boris Averaging, symplectic reduction, and central extensions. (English) Zbl 1473.37069 Nonlinearity 33, No. 3, 1342-1365 (2020). MSC: 37J06 37J39 53D20 PDFBibTeX XMLCite \textit{C. Yang} and \textit{B. Khesin}, Nonlinearity 33, No. 3, 1342--1365 (2020; Zbl 1473.37069) Full Text: DOI arXiv
Modin, Klas; Viviani, Milo A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics. (English) Zbl 1460.76182 J. Fluid Mech. 884, Paper No. A22, 27 p. (2020). MSC: 76D06 76U05 PDFBibTeX XMLCite \textit{K. Modin} and \textit{M. Viviani}, J. Fluid Mech. 884, Paper No. A22, 27 p. (2020; Zbl 1460.76182) Full Text: DOI arXiv
Ohsawa, Tomoki The symmetric representation of the generalized rigid body equations and symplectic reduction. (English) Zbl 1504.70006 J. Phys. A, Math. Theor. 52, No. 36, Article ID 36LT01, 10 p. (2019). MSC: 70E15 37J06 PDFBibTeX XMLCite \textit{T. Ohsawa}, J. Phys. A, Math. Theor. 52, No. 36, Article ID 36LT01, 10 p. (2019; Zbl 1504.70006) Full Text: DOI arXiv
An, Jing; Cao, Waixiang; Zhang, Zhimin An efficient spectral Petrov-Galerkin method for nonlinear Hamiltonian systems. (English) Zbl 1473.65228 Commun. Comput. Phys. 26, No. 5, 1249-1273 (2019). MSC: 65M70 65M15 65N30 PDFBibTeX XMLCite \textit{J. An} et al., Commun. Comput. Phys. 26, No. 5, 1249--1273 (2019; Zbl 1473.65228) Full Text: DOI
Borisov, Alexey V.; Tsiganov, Andrey V. On the Chaplygin sphere in a magnetic field. (English) Zbl 1435.37093 Regul. Chaotic Dyn. 24, No. 6, 739-754 (2019). MSC: 37J60 70F25 74F15 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 24, No. 6, 739--754 (2019; Zbl 1435.37093) Full Text: DOI arXiv
Arathoon, Philip Singular reduction of the 2-body problem on the 3-sphere and the 4-dimensional spinning top. (English) Zbl 1458.70005 Regul. Chaotic Dyn. 24, No. 4, 370-391 (2019). MSC: 70F05 53D20 PDFBibTeX XMLCite \textit{P. Arathoon}, Regul. Chaotic Dyn. 24, No. 4, 370--391 (2019; Zbl 1458.70005) Full Text: DOI arXiv
Boeijink, Jord; Landsman, Klaas; van Suijlekom, Walter Quantization commutes with singular reduction: cotangent bundles of compact Lie groups. (English) Zbl 1431.53097 Rev. Math. Phys. 31, No. 6, Article ID 1950016, 45 p. (2019). MSC: 53D50 81S10 PDFBibTeX XMLCite \textit{J. Boeijink} et al., Rev. Math. Phys. 31, No. 6, Article ID 1950016, 45 p. (2019; Zbl 1431.53097) Full Text: DOI arXiv
Diez, Tobias; Rudolph, Gerd Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories. (English) Zbl 1434.58005 J. Math. Phys. 60, No. 8, 082903, 30 p. (2019). MSC: 58E30 83C05 PDFBibTeX XMLCite \textit{T. Diez} and \textit{G. Rudolph}, J. Math. Phys. 60, No. 8, 082903, 30 p. (2019; Zbl 1434.58005) Full Text: DOI arXiv
Ohsawa, Tomoki Symplectic reduction and the Lie-Poisson shape dynamics of \(N\) point vortices on the plane. (English) Zbl 1489.37075 Nonlinearity 32, No. 10, 3820-3842 (2019). Reviewer: Giovanni Bazzoni (Como) MSC: 37J39 53D20 70H05 70H06 76B47 PDFBibTeX XMLCite \textit{T. Ohsawa}, Nonlinearity 32, No. 10, 3820--3842 (2019; Zbl 1489.37075) Full Text: DOI arXiv
Stanciu, Miron Locally conformally symplectic reduction. (English) Zbl 1422.53070 Ann. Global Anal. Geom. 56, No. 2, 245-275 (2019). MSC: 53D20 53D05 53D10 PDFBibTeX XMLCite \textit{M. Stanciu}, Ann. Global Anal. Geom. 56, No. 2, 245--275 (2019; Zbl 1422.53070) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Cambronero} and \textit{J. P. Álvarez}, J. Nonlinear Math. Phys. 26, No. 4, 650--658 (2019; Zbl 1418.70027) Full Text: DOI
Arathoon, Philip A bijection between the adjoint and coadjoint orbits of a semidirect product. (English) Zbl 1459.17012 Differ. Geom. Appl. 62, 267-282 (2019). Reviewer: Esther Galina (Córdoba) MSC: 17B08 22E70 PDFBibTeX XMLCite \textit{P. Arathoon}, Differ. Geom. Appl. 62, 267--282 (2019; Zbl 1459.17012) Full Text: DOI arXiv Link
Haro, Alex; Luque, Alejandro A-posteriori KAM theory with optimal estimates for partially integrable systems. (English) Zbl 1480.37071 J. Differ. Equations 266, No. 2-3, 1605-1674 (2019). MSC: 37J40 37J35 70K43 70H08 PDFBibTeX XMLCite \textit{A. Haro} and \textit{A. Luque}, J. Differ. Equations 266, No. 2--3, 1605--1674 (2019; Zbl 1480.37071) Full Text: DOI arXiv
Cendra, Hernán; Díaz, Viviana A. Lagrange-d’Alembert-Poincaré equations by several stages. (English) Zbl 1407.37087 J. Geom. Mech. 10, No. 1, 1-41 (2018). MSC: 37J15 37J60 70H25 PDFBibTeX XMLCite \textit{H. Cendra} and \textit{V. A. Díaz}, J. Geom. Mech. 10, No. 1, 1--41 (2018; Zbl 1407.37087) Full Text: DOI arXiv
Li, Xue-Mei Homogenisation on homogeneous spaces. (English) Zbl 1416.58014 J. Math. Soc. Japan 70, No. 2, 519-572 (2018). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 60J60 60H10 PDFBibTeX XMLCite \textit{X.-M. Li}, J. Math. Soc. Japan 70, No. 2, 519--572 (2018; Zbl 1416.58014) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{T. Ohsawa}, Nonlinearity 31, No. 5, 1807--1832 (2018; Zbl 1403.37065) Full Text: DOI arXiv
Ding, Hao On quasi-symplectic groupoid reduction. (English) Zbl 1388.53092 J. Geom. Phys. 124, 311-324 (2018). MSC: 53D17 53D20 37J15 PDFBibTeX XMLCite \textit{H. Ding}, J. Geom. Phys. 124, 311--324 (2018; Zbl 1388.53092) Full Text: DOI
Bazzoni, Giovanni; Marrero, Juan Carlos On locally conformal symplectic manifolds of the first kind. (English) Zbl 1383.22004 Bull. Sci. Math. 143, 1-57 (2018). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 22E25 22E60 53C12 53D05 53D10 53C55 PDFBibTeX XMLCite \textit{G. Bazzoni} and \textit{J. C. Marrero}, Bull. Sci. Math. 143, 1--57 (2018; Zbl 1383.22004) Full Text: DOI arXiv
Esen, Oğul; Pavelka, Michal; Grmela, Miroslav Hamiltonian coupling of electromagnetic field and matter. (English) Zbl 1375.70066 Int. J. Adv. Eng. Sci. Appl. Math. 9, No. 1, 3-20 (2017). MSC: 70H33 82C10 37J15 37N20 PDFBibTeX XMLCite \textit{O. Esen} et al., Int. J. Adv. Eng. Sci. Appl. Math. 9, No. 1, 3--20 (2017; Zbl 1375.70066) Full Text: DOI arXiv
Ohsawa, Tomoki; Tronci, Cesare Geometry and dynamics of Gaussian Wave packets and their Wigner transforms. (English) Zbl 1372.81104 J. Math. Phys. 58, No. 9, 092105, 19 p. (2017). MSC: 81S30 81R30 70H05 70G45 53D20 PDFBibTeX XMLCite \textit{T. Ohsawa} and \textit{C. Tronci}, J. Math. Phys. 58, No. 9, 092105, 19 p. (2017; Zbl 1372.81104) Full Text: DOI arXiv Link
Ferraro, Sebastián; de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David; Vaquero, Miguel On the geometry of the Hamilton-Jacobi equation and generating functions. (English) Zbl 1415.35089 Arch. Ration. Mech. Anal. 226, No. 1, 243-302 (2017). MSC: 35F21 70H20 22A22 PDFBibTeX XMLCite \textit{S. Ferraro} et al., Arch. Ration. Mech. Anal. 226, No. 1, 243--302 (2017; Zbl 1415.35089) Full Text: DOI arXiv
Zub, Sergii I.; Zub, S. S.; Lyashko, V. S.; Lyashko, N. I.; Lyashko, S. I. Mathematical model of interaction of a symmetric top with an axially symmetric external field. (English. Russian original) Zbl 1371.70042 Cybern. Syst. Anal. 53, No. 3, 333-345 (2017); translation from Kibern. Sist. Anal. 2017, No. 3, 3-17 (2017). MSC: 70G55 PDFBibTeX XMLCite \textit{S. I. Zub} et al., Cybern. Syst. Anal. 53, No. 3, 333--345 (2017; Zbl 1371.70042); translation from Kibern. Sist. Anal. 2017, No. 3, 3--17 (2017) Full Text: DOI
Wang, Hong Hamilton-Jacobi theorems for regular reducible Hamiltonian systems on a cotangent bundle. (English) Zbl 1402.70020 J. Geom. Phys. 119, 82-102 (2017). MSC: 70H20 70H33 53D20 PDFBibTeX XMLCite \textit{H. Wang}, J. Geom. Phys. 119, 82--102 (2017; Zbl 1402.70020) Full Text: DOI arXiv
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S. The geometric nature of the Flaschka transformation. (English) Zbl 1368.37065 Commun. Math. Phys. 352, No. 2, 457-517 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J05 17B08 17B80 PDFBibTeX XMLCite \textit{A. M. Bloch} et al., Commun. Math. Phys. 352, No. 2, 457--517 (2017; Zbl 1368.37065) Full Text: DOI
de León, Manuel; Martín de Diego, David; Vaquero, Miguel Hamilton-Jacobi theory, symmetries and coisotropic reduction. (English. French summary) Zbl 1369.70039 J. Math. Pures Appl. (9) 107, No. 5, 591-614 (2017). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 70H20 53D20 53D12 70G45 PDFBibTeX XMLCite \textit{M. de León} et al., J. Math. Pures Appl. (9) 107, No. 5, 591--614 (2017; Zbl 1369.70039) Full Text: DOI arXiv
Li, Songhao; Stern, Ari; Tang, Xiang Lagrangian mechanics and reduction on fibered manifolds. (English) Zbl 1365.70019 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 019, 26 p. (2017). MSC: 70H03 70G45 53D17 37J15 PDFBibTeX XMLCite \textit{S. Li} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 019, 26 p. (2017; Zbl 1365.70019) Full Text: DOI arXiv
Cotter, C. J.; Eldering, J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M. Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions. (English) Zbl 1368.37076 J. Nonlinear Sci. 26, No. 6, 1723-1765 (2016). Reviewer: Kai Schneider (Marseille) MSC: 37K05 35Q35 65P10 76B10 PDFBibTeX XMLCite \textit{C. J. Cotter} et al., J. Nonlinear Sci. 26, No. 6, 1723--1765 (2016; Zbl 1368.37076) Full Text: DOI arXiv
Esen, Oğul; Sütlü, Serkan Hamiltonian dynamics on matched pairs. (English) Zbl 1378.70018 Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650128, 24 p. (2016). MSC: 70H05 70H33 37J15 17B62 PDFBibTeX XMLCite \textit{O. Esen} and \textit{S. Sütlü}, Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650128, 24 p. (2016; Zbl 1378.70018) Full Text: DOI arXiv
Arnaudon, Alexis On a Lagrangian reduction and a deformation of completely integrable systems. (English) Zbl 1353.37129 J. Nonlinear Sci. 26, No. 5, 1133-1160 (2016). MSC: 37K10 37K05 70H33 35Q55 PDFBibTeX XMLCite \textit{A. Arnaudon}, J. Nonlinear Sci. 26, No. 5, 1133--1160 (2016; Zbl 1353.37129) Full Text: DOI arXiv
Cismas, Emanuel-Ciprian Euler-Poincaré equations on semi-direct products. (English) Zbl 1344.58005 Monatsh. Math. 179, No. 4, 491-507 (2016). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 58B25 22E65 35Q35 PDFBibTeX XMLCite \textit{E.-C. Cismas}, Monatsh. Math. 179, No. 4, 491--507 (2016; Zbl 1344.58005) Full Text: DOI
García-Naranjo, Luis C.; Marrero, Juan C.; Pérez-Chavela, Ernesto; Rodríguez-Olmos, Miguel Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2. (English) Zbl 1336.37022 J. Differ. Equations 260, No. 7, 6375-6404 (2016). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37C40 37J60 70F05 70F25 70G45 70G65 PDFBibTeX XMLCite \textit{L. C. García-Naranjo} et al., J. Differ. Equations 260, No. 7, 6375--6404 (2016; Zbl 1336.37022) Full Text: DOI arXiv
Okazaki, Tadashi Membrane quantum mechanics. (English) Zbl 1326.81169 Nucl. Phys., B 890, 400-441 (2015). MSC: 81T30 81T20 81T40 81T13 81T60 14J32 14D21 PDFBibTeX XMLCite \textit{T. Okazaki}, Nucl. Phys., B 890, 400--441 (2015; Zbl 1326.81169) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Ohsawa}, Lett. Math. Phys. 105, No. 9, 1301--1320 (2015; Zbl 1371.37111) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Ohsawa}, J. Math. Phys. 56, No. 3, 032103, 21 p. (2015; Zbl 1308.81096) Full Text: DOI arXiv
Gay-Balmaz, François; Monastyrsky, Michael; Ratiu, Tudor S. Lagrangian reductions and integrable systems in condensed matter. (English) Zbl 1311.53067 Commun. Math. Phys. 335, No. 2, 609-636 (2015). MSC: 53D20 53Z05 17B80 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., Commun. Math. Phys. 335, No. 2, 609--636 (2015; Zbl 1311.53067) Full Text: DOI arXiv
Chhabra, Robin; Emami, M. Reza Symplectic reduction of holonomic open-chain multi-body systems with constant momentum. (English) Zbl 1312.53106 J. Geom. Phys. 89, 82-110 (2015). Reviewer: Peter Hochs (Adelaide) MSC: 53D20 70E55 PDFBibTeX XMLCite \textit{R. Chhabra} and \textit{M. R. Emami}, J. Geom. Phys. 89, 82--110 (2015; Zbl 1312.53106) Full Text: DOI
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 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, Adv. Appl. Math. 63, 131--213 (2015; Zbl 1302.70054) Full Text: DOI arXiv
Zub, Stanislav S. Stable orbital motion of magnetic dipole in the field of permanent magnets. (English) Zbl 1344.78009 Physica D 275, 67-73 (2014). MSC: 78A30 78A50 PDFBibTeX XMLCite \textit{S. S. Zub}, Physica D 275, 67--73 (2014; Zbl 1344.78009) Full Text: DOI
Marsden, Jerrold E.; Wang, Hong; Zhang, Zhenxing Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry. (English) Zbl 1393.70034 Differ. Geom. Appl. 33, 13-45 (2014). MSC: 70H33 70G65 70Q05 53D20 93B27 PDFBibTeX XMLCite \textit{J. E. Marsden} et al., Differ. Geom. Appl. 33, 13--45 (2014; Zbl 1393.70034) Full Text: DOI arXiv
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
Weißmann, Steffen Hamiltonian dynamics of several rigid bodies interacting with point vortices. (English) Zbl 1291.76074 J. Nonlinear Sci. 24, No. 2, 359-382 (2014). MSC: 76B47 53D20 PDFBibTeX XMLCite \textit{S. Weißmann}, J. Nonlinear Sci. 24, No. 2, 359--382 (2014; Zbl 1291.76074) Full Text: DOI arXiv
Lusala, Tsasa; Śniatycki, Jędrzej Slice theorem for differential spaces and reduction by stages. (English) Zbl 1305.58006 Demonstr. Math. 47, No. 1, 192-210 (2014). Reviewer: Maria H. Papatriantafillou (Athenai) MSC: 58A40 53D20 70H33 PDFBibTeX XMLCite \textit{T. Lusala} and \textit{J. Śniatycki}, Demonstr. Math. 47, No. 1, 192--210 (2014; Zbl 1305.58006) Full Text: DOI
García-Naranjo, Luis C.; Vankerschaver, Joris Nonholonomic LL systems on central extensions and the hydrodynamic Chaplygin sleigh with circulation. (English) Zbl 1331.70045 J. Geom. Phys. 73, 56-69 (2013). MSC: 70G45 70E17 PDFBibTeX XMLCite \textit{L. C. García-Naranjo} and \textit{J. Vankerschaver}, J. Geom. Phys. 73, 56--69 (2013; Zbl 1331.70045) Full Text: DOI arXiv
Álvarez-Cónsul, Luis; García-Fernández, Mario; García-Prada, Oscar Coupled equations for Kähler metrics and Yang-Mills connections. (English) Zbl 1275.32019 Geom. Topol. 17, No. 5, 2731-2812 (2013). MSC: 32Q15 53C07 PDFBibTeX XMLCite \textit{L. Álvarez-Cónsul} et al., Geom. Topol. 17, No. 5, 2731--2812 (2013; Zbl 1275.32019) Full Text: DOI arXiv
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare Euler-Poincaré approaches to nematodynamics. (English) Zbl 1278.82062 Acta Appl. Math. 120, No. 1, 127-151 (2012). MSC: 82D30 76A15 35Q35 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., Acta Appl. Math. 120, No. 1, 127--151 (2012; Zbl 1278.82062) Full Text: DOI arXiv
Wang, Hong; Zhang, Zhenxing Optimal reduction of controlled Hamiltonian system with Poisson structure and symmetry. (English) Zbl 1325.70043 J. Geom. Phys. 62, No. 5, 953-975 (2012). MSC: 70H33 70Q05 70G45 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Z. Zhang}, J. Geom. Phys. 62, No. 5, 953--975 (2012; Zbl 1325.70043) Full Text: DOI
Modin, Klas; Söderlind, Gustaf Geometric integration of Hamiltonian systems perturbed by Rayleigh damping. (English) Zbl 1237.65140 BIT 51, No. 4, 977-1007 (2011). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 37M15 70F40 70G10 70K40 65L70 PDFBibTeX XMLCite \textit{K. Modin} and \textit{G. Söderlind}, BIT 51, No. 4, 977--1007 (2011; Zbl 1237.65140) Full Text: DOI arXiv
Marrero, Juan C.; Martínez Torres, David; Padrón, Edith Universal models via embedding and reduction for locally conformal symplectic structures. (English) Zbl 1228.53093 Ann. Global Anal. Geom. 40, No. 3, 311-337 (2011). Reviewer: Qilin Yang (Guangzhou) MSC: 53D15 53A30 53C55 PDFBibTeX XMLCite \textit{J. C. Marrero} et al., Ann. Global Anal. Geom. 40, No. 3, 311--337 (2011; Zbl 1228.53093) Full Text: DOI arXiv
Ohsawa, Tomoki; Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V. Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization. (English) Zbl 1339.70035 J. Geom. Phys. 61, No. 8, 1263-1291 (2011). MSC: 70H20 70F25 PDFBibTeX XMLCite \textit{T. Ohsawa} et al., J. Geom. Phys. 61, No. 8, 1263--1291 (2011; Zbl 1339.70035) Full Text: DOI arXiv
Ratiu, Tudor S. Coadjoint orbits and the beginnings of a geometric representation theory. (English) Zbl 1223.22019 Neeb, Karl-Hermann (ed.) et al., Developments and trends in infinite-dimensional Lie theory. Basel: Birkhäuser (ISBN 978-0-8176-4740-7/hbk; 978-0-8176-4741-4/ebook). Progress in Mathematics 288, 417-457 (2011). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E66 53D17 22E46 46T05 53D20 PDFBibTeX XMLCite \textit{T. S. Ratiu}, Prog. Math. 288, 417--457 (2011; Zbl 1223.22019) Full Text: DOI
Langerock, B.; Cantrijn, F.; Vankerschaver, J. Routhian reduction for quasi-invariant Lagrangians. (English) Zbl 1309.70019 J. Math. Phys. 51, No. 2, 022902, 20 p. (2010). MSC: 70H05 70H33 37J25 78A35 PDFBibTeX XMLCite \textit{B. Langerock} et al., J. Math. Phys. 51, No. 2, 022902, 20 p. (2010; Zbl 1309.70019) Full Text: DOI arXiv Link
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S. Symmetry reduced dynamics of charged molecular strands. (English) Zbl 1333.70029 Arch. Ration. Mech. Anal. 197, No. 3, 811-902 (2010). MSC: 70H33 37J15 37N25 70H25 74K05 82D60 PDFBibTeX XMLCite \textit{D. C. P. Ellis} et al., Arch. Ration. Mech. Anal. 197, No. 3, 811--902 (2010; Zbl 1333.70029) Full Text: DOI arXiv
Vankerschaver, J.; Kanso, E.; Marsden, J. E. The dynamics of a rigid body in potential flow with circulation. (English) Zbl 1258.76051 Regul. Chaotic Dyn. 15, No. 4-5, 606-629 (2010). MSC: 76B47 37N10 53D20 70E15 74F10 PDFBibTeX XMLCite \textit{J. Vankerschaver} et al., Regul. Chaotic Dyn. 15, No. 4--5, 606--629 (2010; Zbl 1258.76051) Full Text: DOI arXiv
Gonzalez, M.; Schmidt, B.; Ortiz, M. Force-stepping integrators in Lagrangian mechanics. (English) Zbl 1202.70006 Int. J. Numer. Methods Eng. 84, No. 12, 1407-1450 (2010). MSC: 70-08 PDFBibTeX XMLCite \textit{M. Gonzalez} et al., Int. J. Numer. Methods Eng. 84, No. 12, 1407--1450 (2010; Zbl 1202.70006) Full Text: DOI
Gay-Balmaz, François; Tronci, Cesare Reduction theory for symmetry breaking with applications to nematic systems. (English) Zbl 1208.37038 Physica D 239, No. 20-22, 1929-1947 (2010). Reviewer: Gheorghe Zet (Iaşi) MSC: 37K05 37K65 82D30 37J15 37N20 76A15 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{C. Tronci}, Physica D 239, No. 20--22, 1929--1947 (2010; Zbl 1208.37038) Full Text: DOI arXiv
Jacobi, Martin Nilsson; Görnerup, Olof A spectral method for aggregating variables in linear dynamical systems with application to cellular automata renormalization. (English) Zbl 1187.37012 Adv. Complex Syst. 12, No. 2, 131-155 (2009). Reviewer: Bolis Basit (Clayton) MSC: 37A30 37B15 PDFBibTeX XMLCite \textit{M. N. Jacobi} and \textit{O. Görnerup}, Adv. Complex Syst. 12, No. 2, 131--155 (2009; Zbl 1187.37012) Full Text: DOI
Gay-Balmaz, François; Ratiu, Tudor S. The geometric structure of complex fluids. (English) Zbl 1161.37052 Adv. Appl. Math. 42, No. 2, 176-275 (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K65 37K05 53C80 53D17 53D20 76A15 76A25 76W05 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{T. S. Ratiu}, Adv. Appl. Math. 42, No. 2, 176--275 (2009; Zbl 1161.37052) Full Text: DOI arXiv Link
Castrillón López, Marco; Marsden, Jerrold E. Covariant and dynamical reduction for principal bundle field theories. (English) Zbl 1162.83347 Ann. Global Anal. Geom. 34, No. 3, 263-285 (2008). MSC: 83D05 49J40 PDFBibTeX XMLCite \textit{M. Castrillón López} and \textit{J. E. Marsden}, Ann. Global Anal. Geom. 34, No. 3, 263--285 (2008; Zbl 1162.83347) Full Text: DOI
Hochgerner, Simon Singular cotangent bundle reduction & spin Calogero-Moser systems. (English) Zbl 1146.53062 Differ. Geom. Appl. 26, No. 2, 169-192 (2008). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D30 37J15 PDFBibTeX XMLCite \textit{S. Hochgerner}, Differ. Geom. Appl. 26, No. 2, 169--192 (2008; Zbl 1146.53062) Full Text: DOI arXiv
Yoshimura, Hiroaki; Marsden, Jerrold E. Reduction of Dirac structures and the Hamilton-Pontryagin principle. (English) Zbl 1141.53081 Rep. Math. Phys. 60, No. 3, 381-426 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 PDFBibTeX XMLCite \textit{H. Yoshimura} and \textit{J. E. Marsden}, Rep. Math. Phys. 60, No. 3, 381--426 (2007; Zbl 1141.53081) Full Text: DOI
McLachlan, Robert; Perlmutter, Matthew Conformal Hamiltonian systems. (English) Zbl 1005.53058 J. Geom. Phys. 39, No. 4, 276-300 (2001). Reviewer: John F.Oprea (Cleveland) MSC: 53D17 53D20 37J15 PDFBibTeX XMLCite \textit{R. McLachlan} and \textit{M. Perlmutter}, J. Geom. Phys. 39, No. 4, 276--300 (2001; Zbl 1005.53058) Full Text: DOI
Marsden, Jerrold E.; Misiołek, Gerard; Perlmutter, Matthew; Ratiu, Tudor S. Symplectic reduction for semidirect products and central extensions. (English) Zbl 0973.53069 Differ. Geom. Appl. 9, No. 1-2, 173-212 (1998). MSC: 53D20 PDFBibTeX XMLCite \textit{J. E. Marsden} et al., Differ. Geom. Appl. 9, No. 1--2, 173--212 (1998; Zbl 0973.53069) Full Text: DOI