Sheka, Denis D. Field momentum and gyroscopic dynamics of classical systems with topological defects. (English) Zbl 1152.70318 J. Phys. A, Math. Gen. 39, No. 50, 15477-15489 (2006). MSC: 70S05 70E05 78A25 PDFBibTeX XMLCite \textit{D. D. Sheka}, J. Phys. A, Math. Gen. 39, No. 50, 15477--15489 (2006; Zbl 1152.70318) Full Text: DOI arXiv
Hairer, Ernst; Vilmart, Gilles Preprocessed discrete Moser-Veselov algorithm for the full dynamics of a rigid body. (English) Zbl 1127.70002 J. Phys. A, Math. Gen. 39, No. 42, 13225-13235 (2006). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 70-08 70E15 65P10 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{G. Vilmart}, J. Phys. A, Math. Gen. 39, No. 42, 13225--13235 (2006; Zbl 1127.70002) Full Text: DOI
Yehia, H. M. The master integrable two-dimensional system with a quartic second integral. (English) Zbl 1122.37045 J. Phys. A, Math. Gen. 39, No. 20, 5807-5824 (2006). MSC: 37J35 70E40 70H06 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 39, No. 20, 5807--5824 (2006; Zbl 1122.37045) Full Text: DOI
Celledoni, E.; Säfström, N. Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions. (English) Zbl 1158.70309 J. Phys. A, Math. Gen. 39, No. 19, 5463-5478 (2006). MSC: 70H05 37M15 70E15 65D25 PDFBibTeX XMLCite \textit{E. Celledoni} and \textit{N. Säfström}, J. Phys. A, Math. Gen. 39, No. 19, 5463--5478 (2006; Zbl 1158.70309) Full Text: DOI
Sokolov, Vladimir V.; Wolf, Thomas Integrable quadratic classical Hamiltonians on \(so(4)\) and \(so(3, 1)\). (English) Zbl 1087.37047 J. Phys. A, Math. Gen. 39, No. 8, 1915-1926 (2006). MSC: 37J35 37N15 70G45 70E17 76D99 70H05 70H06 PDFBibTeX XMLCite \textit{V. V. Sokolov} and \textit{T. Wolf}, J. Phys. A, Math. Gen. 39, No. 8, 1915--1926 (2006; Zbl 1087.37047) Full Text: DOI arXiv
Perelomov, A. M. Motion of four-dimensional rigid body around a fixed point: an elementary approach. I. (English) Zbl 1078.70007 J. Phys. A, Math. Gen. 38, No. 47, L801-L807 (2005). MSC: 70E17 70E45 PDFBibTeX XMLCite \textit{A. M. Perelomov}, J. Phys. A, Math. Gen. 38, No. 47, L801--L807 (2005; Zbl 1078.70007) Full Text: DOI arXiv
Tsiganov, A. V. A new integrable system on \(S^2\) with the second integral quartic in the momenta. (English) Zbl 1066.70004 J. Phys. A, Math. Gen. 38, No. 16, 3547-3553 (2005). MSC: 70E40 70E17 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Gen. 38, No. 16, 3547--3553 (2005; Zbl 1066.70004) Full Text: DOI arXiv
Komarov, I. V.; Tsiganov, A. V. On a trajectory isomorphism of the Kowalevski gyrostat and the Clebsch problem. (English) Zbl 1088.70006 J. Phys. A, Math. Gen. 38, No. 13, 2917-2927 (2005). MSC: 70E05 PDFBibTeX XMLCite \textit{I. V. Komarov} and \textit{A. V. Tsiganov}, J. Phys. A, Math. Gen. 38, No. 13, 2917--2927 (2005; Zbl 1088.70006) Full Text: DOI arXiv
Tsiganov, A. V. On a family of integrable systems on \(S^2\) with a cubic integral of motion. (English) Zbl 1076.37049 J. Phys. A, Math. Gen. 38, No. 4, 921-927 (2005). MSC: 37J35 70E40 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Gen. 38, No. 4, 921--927 (2005; Zbl 1076.37049) Full Text: DOI arXiv
Kuznetsov, Vadim B.; Petrera, Matteo; Ragnisco, Orlando Separation of variables and Bäcklund transformations for the symmetric Lagrange top. (English) Zbl 1075.70007 J. Phys. A, Math. Gen. 37, No. 35, 8495-8512 (2004). MSC: 70E17 70E40 70-08 37N05 PDFBibTeX XMLCite \textit{V. B. Kuznetsov} et al., J. Phys. A, Math. Gen. 37, No. 35, 8495--8512 (2004; Zbl 1075.70007) Full Text: DOI arXiv
Ramos, Arturo Poisson structures for reduced nonholonomic systems. (English) Zbl 1048.37056 J. Phys. A, Math. Gen. 37, No. 17, 4821-4842 (2004). MSC: 37J60 70E18 70F25 70G45 PDFBibTeX XMLCite \textit{A. Ramos}, J. Phys. A, Math. Gen. 37, No. 17, 4821--4842 (2004; Zbl 1048.37056) Full Text: DOI arXiv
Komarov, I. V.; Sokolov, V. V.; Tsiganov, A. V. Poisson maps and integrable deformations of the Kowalevski top. (English) Zbl 1073.70005 J. Phys. A, Math. Gen. 36, No. 29, 8035-8048 (2003). MSC: 70E17 70E40 37N05 70G65 PDFBibTeX XMLCite \textit{I. V. Komarov} et al., J. Phys. A, Math. Gen. 36, No. 29, 8035--8048 (2003; Zbl 1073.70005) Full Text: DOI arXiv
Yehia, H. M. On certain two-dimensional conservative mechanical systems with a cubic second integral. (English) Zbl 1070.70009 J. Phys. A, Math. Gen. 35, No. 44, 9469-9487 (2002). Reviewer: Alexei Tsygvintsev (Lyon) MSC: 70H06 70H03 70E40 37N05 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 35, No. 44, 9469--9487 (2002; Zbl 1070.70009) Full Text: DOI
Yehia, H. M. Comment on ’On the Kowalevsky-Goryachev-Chaplygin gyrostat’. (English) Zbl 1088.70501 J. Phys. A, Math. Gen. 35, No. 49, 10669-10670 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 70E40 70E17 70H06 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 35, No. 49, 10669--10670 (2002; Zbl 1088.70501) Full Text: DOI
Yehia, H. M. Relation between the first and second moments of distributions. (English) Zbl 1042.70003 J. Phys. A, Math. Gen. 35, No. 30, 6505-6508 (2002). MSC: 70E15 15A90 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 35, No. 30, 6505--6508 (2002; Zbl 1042.70003) Full Text: DOI arXiv
Kuznetsov, Vadim B. Simultaneous separation for the Kowalevski and Goryachev-Chaplygin gyrostats. (English) Zbl 1042.70002 J. Phys. A, Math. Gen. 35, No. 30, 6419-6430 (2002). MSC: 70E05 70E40 PDFBibTeX XMLCite \textit{V. B. Kuznetsov}, J. Phys. A, Math. Gen. 35, No. 30, 6419--6430 (2002; Zbl 1042.70002) Full Text: DOI arXiv
Tsiganov, A. V. On the Kowalevski-Goryachev-Chaplygin gyrostat. (English) Zbl 1058.70008 J. Phys. A, Math. Gen. 35, No. 22, L309-L318 (2002). MSC: 70E05 70E40 70G45 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Gen. 35, No. 22, L309--L318 (2002; Zbl 1058.70008) Full Text: DOI
Morosi, Carlo; Tondo, Giorgio The quasi-bi-Hamiltonian formulation of the Lagrange top. (English) Zbl 1022.70002 J. Phys. A, Math. Gen. 35, No. 7, 1741-1750 (2002). MSC: 70E17 70H05 70G45 37N05 PDFBibTeX XMLCite \textit{C. Morosi} and \textit{G. Tondo}, J. Phys. A, Math. Gen. 35, No. 7, 1741--1750 (2002; Zbl 1022.70002) Full Text: DOI arXiv
Yehia, H. M. Transformations of mechanical systems with cyclic coordinates and new integrable problems. (English) Zbl 1017.70007 J. Phys. A, Math. Gen. 34, No. 49, 11167-11183 (2001). Reviewer: Petre P.Teodorescu (Bucureşti) MSC: 70E40 70E05 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 34, No. 49, 11167--11183 (2001; Zbl 1017.70007) Full Text: DOI
Salnikova, Tatiana V. On integrability of the motion of an axisymmetric rigid body. (English) Zbl 1054.70010 J. Phys. A, Math. Gen. 34, No. 11, 2179-2184 (2001). MSC: 70E40 70H07 70H08 PDFBibTeX XMLCite \textit{T. V. Salnikova}, J. Phys. A, Math. Gen. 34, No. 11, 2179--2184 (2001; Zbl 1054.70010) Full Text: DOI
Orel, O. E.; Ryabov, P. E. Topology, bifurcations and Liouville classification of Kirchhoff equations with an additional integral of fourth degree. (English) Zbl 1005.70006 J. Phys. A, Math. Gen. 34, No. 11, 2149-2163 (2001). Reviewer: Petre P.Teodorescu (Bucureşti) MSC: 70E40 70G40 37N05 76E30 PDFBibTeX XMLCite \textit{O. E. Orel} and \textit{P. E. Ryabov}, J. Phys. A, Math. Gen. 34, No. 11, 2149--2163 (2001; Zbl 1005.70006) Full Text: DOI
Komarov, I. V. Remarks on Kowalevski’s top. (English) Zbl 1054.70009 J. Phys. A, Math. Gen. 34, No. 11, 2111-2120 (2001). MSC: 70E17 70E40 81R05 PDFBibTeX XMLCite \textit{I. V. Komarov}, J. Phys. A, Math. Gen. 34, No. 11, 2111--2120 (2001; Zbl 1054.70009) Full Text: DOI
Falqui, Gregorio Lax representation and Poisson geometry of the Kowalevski top. (English) Zbl 1004.37042 J. Phys. A, Math. Gen. 34, No. 11, 2077-2085 (2001). Reviewer: Mamed Rajabov (Baku) MSC: 37J35 37K10 53D17 70H05 70E40 70G45 PDFBibTeX XMLCite \textit{G. Falqui}, J. Phys. A, Math. Gen. 34, No. 11, 2077--2085 (2001; Zbl 1004.37042) Full Text: DOI Link
Yehia, H. M. Motions of a particle on a sphere and integrable motions of a rigid body. (English) Zbl 1169.70305 J. Phys. A, Math. Gen. 33, No. 33, 5945-5949 (2000). MSC: 70E40 70H99 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 33, No. 33, 5945--5949 (2000; Zbl 1169.70305) Full Text: DOI
Yehia, H. M. Geometric transformations and new integrable problems of rigid body dynamics. (English) Zbl 0979.70006 J. Phys. A, Math. Gen. 33, No. 23, 4393-4399 (2000). MSC: 70E40 70E15 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 33, No. 23, 4393--4399 (2000; Zbl 0979.70006) Full Text: DOI
Gascon, F. G.; Peralta-Salas, D. Escape to infinity in a Newtonian potential. (English) Zbl 0977.34028 J. Phys. A, Math. Gen. 33, No. 30, 5361-5368 (2000). Reviewer: A.Salvadori (Perugia) MSC: 34C11 81Q20 70E50 PDFBibTeX XMLCite \textit{F. G. Gascon} and \textit{D. Peralta-Salas}, J. Phys. A, Math. Gen. 33, No. 30, 5361--5368 (2000; Zbl 0977.34028) Full Text: DOI
Yehia, H. M. New generalizations of all the known integrable problems in rigid-body dynamics. (English) Zbl 0952.70006 J. Phys. A, Math. Gen. 32, No. 43, 7565-7580 (1999). Reviewer: Francesco Calogero (Roma) MSC: 70E40 70H06 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 32, No. 43, 7565--7580 (1999; Zbl 0952.70006) Full Text: DOI
Suzuki, Katsuhiro; Watanabe, Yodai; Kambe, Tsutomu Geometrical analysis of free rotation of a rigid body. (English) Zbl 0963.70005 J. Phys. A, Math. Gen. 31, No. 28, 6073-6080 (1998). Reviewer: Liu Yanzhu (Shanghai) MSC: 70E15 70E50 70G65 70G45 PDFBibTeX XMLCite \textit{K. Suzuki} et al., J. Phys. A, Math. Gen. 31, No. 28, 6073--6080 (1998; Zbl 0963.70005) Full Text: DOI
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar Žarko Generalizations of classical integrable nonholonomic rigid body systems. (English) Zbl 0934.70007 J. Phys. A, Math. Gen. 31, No. 49, 9861-9869 (1998). MSC: 70E17 70F25 70E20 PDFBibTeX XMLCite \textit{V. Dragović} et al., J. Phys. A, Math. Gen. 31, No. 49, 9861--9869 (1998; Zbl 0934.70007) Full Text: DOI
Fairlie, David B.; Ueno, Tatsuya Integrable top equations associated with projective geometry over \(\mathbb{Z}_2\). (English) Zbl 0937.37035 J. Phys. A, Math. Gen. 31, No. 38, 7785-7790 (1998). MSC: 37K05 37K25 70H05 70E15 PDFBibTeX XMLCite \textit{D. B. Fairlie} and \textit{T. Ueno}, J. Phys. A, Math. Gen. 31, No. 38, 7785--7790 (1998; Zbl 0937.37035) Full Text: DOI arXiv
Yehia, H. M. New integrable problems of motion of a rigid body acted upon by nonsymmetric electromagnetic forces. (English) Zbl 0916.70006 J. Phys. A, Math. Gen. 31, No. 27, 5819-5825 (1998). MSC: 70E15 78A35 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 31, No. 27, 5819--5825 (1998; Zbl 0916.70006) Full Text: DOI
Elipe, Antonio; Arribas, M.; Riaguas, A. Complete analysis of bifurcations in the axial gyrostat problem. (English) Zbl 0963.70522 J. Phys. A, Math. Gen. 30, No. 2, 587-601 (1997). MSC: 70E05 70E50 37N05 70K50 PDFBibTeX XMLCite \textit{A. Elipe} et al., J. Phys. A, Math. Gen. 30, No. 2, 587--601 (1997; Zbl 0963.70522) Full Text: DOI
Yehia, H. M. New generalizations of the integrable problems in rigid body dynamics. (English) Zbl 0948.70006 J. Phys. A, Math. Gen. 30, No. 20, 7269-7275 (1997); corrigendum ibid. 31, No. 13, 3115 (1998). Reviewer: Liu Yanzhu (Shanghai) MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 30, No. 20, 7269--7275 (1997; Zbl 0948.70006) Full Text: DOI
Yehia, H. M. On a generalization of certain results of Goriatchev, Chaplygin and Sretensky in the dynamics of rigid bodies. (English) Zbl 0926.70007 J. Phys. A, Math. Gen. 29, No. 24, 8159-8161 (1996). MSC: 70E15 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 29, No. 24, 8159--8161 (1996; Zbl 0926.70007) Full Text: DOI
Ge, Molin; Xue, Kang Truncated global transfer matrix: Trigonometric Goryachev-Chaplygin gyrostat. (English) Zbl 0926.70006 J. Phys. A, Math. Gen. 29, No. 21, 6881-6894 (1996). MSC: 70E05 81R50 PDFBibTeX XMLCite \textit{M. Ge} and \textit{K. Xue}, J. Phys. A, Math. Gen. 29, No. 21, 6881--6894 (1996; Zbl 0926.70006) Full Text: DOI
Névir, Peter; Blender, Richard A Nambu representation of incompressible hydrodynamics using helicity and enstrophy. (English) Zbl 0812.76005 J. Phys. A, Math. Gen. 26, No. 22, L1189-L1193 (1993). MSC: 76A02 70E15 70H99 PDFBibTeX XMLCite \textit{P. Névir} and \textit{R. Blender}, J. Phys. A, Math. Gen. 26, No. 22, L\, 1189-L\, 1193 (1993; Zbl 0812.76005) Full Text: DOI
Forder, P. W. General relativistic number effects in gyroscopes. (English) Zbl 0569.70006 J. Phys. A 18, 3343-3350 (1985). MSC: 70E05 83C99 PDFBibTeX XMLCite \textit{P. W. Forder}, J. Phys. A, Math. Gen. 18, 3343--3350 (1985; Zbl 0569.70006) Full Text: DOI
Forder, P. W. Ring gyroscopes: an application of adiabatic invariance. (English) Zbl 0574.70003 J. Phys. A 17, 1343-1355 (1984). Reviewer: E.Kreuzer MSC: 70E05 PDFBibTeX XMLCite \textit{P. W. Forder}, J. Phys. A, Math. Gen. 17, 1343--1355 (1984; Zbl 0574.70003) Full Text: DOI
Komarov, I. V.; Zalipaev, V. V. The Goryachev-Chaplygin gyrostat in quantum mechanics. (English) Zbl 0556.70004 J. Phys. A 17, 1479-1488 (1984). Reviewer: J. Sławianowski MSC: 70E05 81V55 PDFBibTeX XMLCite \textit{I. V. Komarov} and \textit{V. V. Zalipaev}, J. Phys. A, Math. Gen. 17, 1479--1488 (1984; Zbl 0556.70004) Full Text: DOI
Komarov, I. V. Exact solution of the Goryachev-Chaplygin problem in quantum mechanics. (English) Zbl 0528.70008 J. Phys. A 15, 1765-1773 (1982). MSC: 70E05 70G99 81R10 PDFBibTeX XMLCite \textit{I. V. Komarov}, J. Phys. A, Math. Gen. 15, 1765--1773 (1982; Zbl 0528.70008) Full Text: DOI
Sau, J. Collective angular momentum in classical mechanics. (English) Zbl 0418.70015 J. Phys. A 12, 1971-1978 (1979). MSC: 70F99 70E99 70C20 PDFBibTeX XMLCite \textit{J. Sau}, J. Phys. A, Math. Gen. 12, 1971--1978 (1979; Zbl 0418.70015) Full Text: DOI
Jones, A. V.; Papadopoulos, G. J. On the exact propagator. (English) Zbl 0231.70003 J. Physics A 4, L86-L89 (1971). MSC: 70H03 70E15 PDFBibTeX XMLCite \textit{A. V. Jones} and \textit{G. J. Papadopoulos}, J. Phys. A, Math. Gen. 4, L86--L89 (1971; Zbl 0231.70003) Full Text: DOI