Guo, Han-Ying; Li, Yu-Qi; Wu, Ke On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism. (English) Zbl 1164.37335 Commun. Theor. Phys. 35, No. 6, 703-710 (2001). MSC: 37J05 37K05 37M15 70S05 70H05 PDFBibTeX XMLCite \textit{H.-Y. Guo} et al., Commun. Theor. Phys. 35, No. 6, 703--710 (2001; Zbl 1164.37335) Full Text: DOI arXiv
Fernández, Antonio; García, Pedro Luis; Rodrigo, César Lagrangian reduction and constrained variational calculus. (English) Zbl 1176.70039 Gràcia Sabaté, Xavier (ed.) et al., Proceedings of the IX fall workshop on geometry and physics, Vilanova i la Geltrú, Spain, July 6–8, 2000. Madrid: Real Sociedad Matemática Española (ISBN 84-923818-5-X/pbk). Publ. R. Soc. Mat. Esp. 3, 53-64 (2001). MSC: 70S05 70H33 37J05 53D20 70H30 70S10 70G75 76Y05 PDFBibTeX XMLCite \textit{A. Fernández} et al., Publ. R. Soc. Mat. Esp. 3, 53--64 (2001; Zbl 1176.70039)
Gorr, G. V.; Mironova, E. M. The properties of a class of invariant relations of the generalized equations of dynamics. (English. Russian original) Zbl 1010.70506 J. Appl. Math. Mech. 65, No. 3, 411-419 (2001); translation from Prikl. Mat. Mekh. 65, No. 3, 426-435 (2001). Reviewer: Julia A.Martynyuk (Kyïv) MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{G. V. Gorr} and \textit{E. M. Mironova}, Prikl. Mat. Mekh. 65, No. 3, 426--435 (2001; Zbl 1010.70506); translation from Prikl. Mat. Mekh. 65, No. 3, 426--435 (2001)
Crampin, M. The curvature of a curve and variational calculus. (English) Zbl 1010.53021 Publ. Math. Debr. 59, No. 3-4, 429-439 (2001). Reviewer: G.G.Vranceanu (Bucuresti) MSC: 53B40 70H03 PDFBibTeX XMLCite \textit{M. Crampin}, Publ. Math. Debr. 59, No. 3--4, 429--439 (2001; Zbl 1010.53021)
Aamo, O. M.; Arcak, M.; Fossen, T. I.; Kokotovic, P. V. Global output tracking control of a class of Euler-Lagrange systems with monotonic nonlinearities in the velocities. (English) Zbl 1017.93096 Int. J. Control 74, No. 7, 649-658 (2001). Reviewer: Yuri N.Sankin (Ul’yanovsk) MSC: 93D21 93C10 70Q05 70H03 PDFBibTeX XMLCite \textit{O. M. Aamo} et al., Int. J. Control 74, No. 7, 649--658 (2001; Zbl 1017.93096) Full Text: DOI
Maciejewski, Andrzej J.; Przybylska, Maria Studies of the Hoyer system. (English) Zbl 1038.70003 Rep. Math. Phys. 48, No. 1-2, 131-138 (2001). MSC: 70E15 70E40 70G45 70J35 34A26 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, Rep. Math. Phys. 48, No. 1--2, 131--138 (2001; Zbl 1038.70003) Full Text: DOI
Fatibene, L.; Francaviglia, M. Natural and gauge-natural field theories. (English) Zbl 1031.70017 Coen, Salvatore (ed.), Geometry seminars. 2000. Proceedings of the conference on noncommutative geometry: examples, principles and practice, February 1999 and on index theory and physics, February 2000 held in Bologna, Italy. Bologna: Università degli Studi di Bologna, Dipartimento di Matematica, 123-150 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 70S15 70G45 81T13 83C05 78A25 PDFBibTeX XMLCite \textit{L. Fatibene} and \textit{M. Francaviglia}, in: Seminari di geometria. 2000. Bologna: Università degli Studi di Bologna, Dipartimento di Matematica. 123--150 (2001; Zbl 1031.70017)
Milewski, Jan Noether theorems for higher rank functionals. (English) Zbl 1003.58017 Mat. Fiz. Anal. Geom. 8, No. 3, 272-281 (2001). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 58E30 49S05 70S99 PDFBibTeX XMLCite \textit{J. Milewski}, Mat. Fiz. Anal. Geom. 8, No. 3, 272--281 (2001; Zbl 1003.58017)
Belyaev, A. V. Asymptotic behavior of solutions of Euler-Poisson equations at singular points of solutions. (Russian. English summary) Zbl 1016.70003 Mat. Fiz. Anal. Geom. 8, No. 2, 128-142 (2001). Reviewer: Vladimir Evgenievich Puzyrev (Donetsk) MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{A. V. Belyaev}, Mat. Fiz. Anal. Geom. 8, No. 2, 128--142 (2001; Zbl 1016.70003)
Krupková, Olga; Smetanová, Dana Legendre transformation for regularizable Lagrangians in field theory. (English) Zbl 1005.70025 Lett. Math. Phys. 58, No. 3, 189-204 (2001). MSC: 70S05 58Z05 78A25 PDFBibTeX XMLCite \textit{O. Krupková} and \textit{D. Smetanová}, Lett. Math. Phys. 58, No. 3, 189--204 (2001; Zbl 1005.70025) Full Text: DOI arXiv
Kilin, A. A. The dynamics of Chaplygin ball: the qualitative and computer analysis. (English) Zbl 1074.70513 Regul. Chaotic Dyn. 6, No. 3, 291-306 (2001). Reviewer: A. E. Mironov (Novosibirsk) MSC: 70E18 70E05 70-08 PDFBibTeX XMLCite \textit{A. A. Kilin}, Regul. Chaotic Dyn. 6, No. 3, 291--306 (2001; Zbl 1074.70513) Full Text: DOI Link
Borisov, A. V.; Mamaev, I. S. Euler-Poisson equations and integrable cases. (English) Zbl 1007.70005 Regul. Chaotic Dyn. 6, No. 3, 253-276 (2001). Reviewer: A.E.Mironov (Novosibirsk) MSC: 70E40 70E17 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{I. S. Mamaev}, Regul. Chaotic Dyn. 6, No. 3, 253--276 (2001; Zbl 1007.70005) Full Text: arXiv
Mitchell, Jason W.; Richardson, David L. A simplified kinetic element formulation for the rotation of a perturbed mass-asymmetric rigid body. (English) Zbl 1036.70002 Celest. Mech. Dyn. Astron. 81, No. 1-2, 13-25 (2001). Reviewer: Vladimir Evgenievich Puzyrev (Donetsk) MSC: 70E15 70M20 70-08 PDFBibTeX XMLCite \textit{J. W. Mitchell} and \textit{D. L. Richardson}, Celest. Mech. Dyn. Astron. 81, No. 1--2, 13--25 (2001; Zbl 1036.70002) Full Text: DOI
Esteban, E. P.; Vazquez, S. Rotating stratified heterogeneous oblate spheroid in Newtonian physics. (English) Zbl 0985.76007 Celest. Mech. Dyn. Astron. 81, No. 4, 299-312 (2001). MSC: 76B10 76B70 70E99 PDFBibTeX XMLCite \textit{E. P. Esteban} and \textit{S. Vazquez}, Celest. Mech. Dyn. Astron. 81, No. 4, 299--312 (2001; Zbl 0985.76007) Full Text: DOI
Maciejewski, Andrzej J.; Popov, Sasho Ivanov; Strelcyn, Jean-Marie The Euler equations on Lie algebra so(4): An elementary approach to integrability condition. (English) Zbl 1005.37025 J. Math. Phys. 42, No. 6, 2701-2717 (2001). MSC: 37J35 70E40 PDFBibTeX XMLCite \textit{A. J. Maciejewski} et al., J. Math. Phys. 42, No. 6, 2701--2717 (2001; Zbl 1005.37025) Full Text: DOI
Udrişte, C.; Postolache, M.; Ţevy, I. Integrator for Lagrangian dynamics. (English) Zbl 1040.70002 Balkan J. Geom. Appl. 6, No. 2, 109-115 (2001). MSC: 70-08 70H03 65P10 PDFBibTeX XMLCite \textit{C. Udrişte} et al., Balkan J. Geom. Appl. 6, No. 2, 109--115 (2001; Zbl 1040.70002) Full Text: EuDML EMIS
Thompson, G.; Prince, G. E. The inverse problem for flat kinetic minus potential Lagrangians. (English) Zbl 1048.70007 Extr. Math. 16, No. 2, 241-248 (2001). Reviewer: Vasile Marinca (Timişoara) MSC: 70F17 70H03 49S05 PDFBibTeX XMLCite \textit{G. Thompson} and \textit{G. E. Prince}, Extr. Math. 16, No. 2, 241--248 (2001; Zbl 1048.70007) Full Text: EuDML
Dragović, Vladimir; Gajić, Borislav An \(L\)-\(A\) pair for the Hess-Apel’rot system and a new integrable case for the Euler-Poisson equations on \(so(4)\times so(4)\). (English) Zbl 1010.70004 Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 4, 845-855 (2001). MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{B. Gajić}, Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 4, 845--855 (2001; Zbl 1010.70004) Full Text: DOI arXiv
Martínez, Eduardo Lagrangian mechanics on Lie algebroids. (English) Zbl 1002.70013 Acta Appl. Math. 67, No. 3, 295-320 (2001). MSC: 70H03 70G45 70G60 PDFBibTeX XMLCite \textit{E. Martínez}, Acta Appl. Math. 67, No. 3, 295--320 (2001; Zbl 1002.70013) Full Text: DOI
Kuo, Chung-Feng Jeffrey; Lee, Chung-Jenq Neural network control of a rotating elastic manipulator. (English) Zbl 0991.93054 Comput. Math. Appl. 42, No. 6-7, 1009-1023 (2001). Reviewer: Vadim Komkov (Florida) MSC: 93C20 74K10 70Q05 93D20 92B20 PDFBibTeX XMLCite \textit{C.-F. J. Kuo} and \textit{C.-J. Lee}, Comput. Math. Appl. 42, No. 6--7, 1009--1023 (2001; Zbl 0991.93054) Full Text: DOI
Luyckx, L.; Loccufier, M.; Noldus, E. On the design of nonlinear controllers for Euler-Lagrange systems. (English) Zbl 0993.93029 Nonlinear Dyn. Syst. Theory 1, No. 1, 99-110 (2001). Reviewer: A.Bacciotti (Torino) MSC: 93D15 70Q05 70H03 70K20 PDFBibTeX XMLCite \textit{L. Luyckx} et al., Nonlinear Dyn. Syst. Theory 1, No. 1, 99--110 (2001; Zbl 0993.93029)
Filimonikhin, G. B. Conditions for balancing a rotor by an absolutely rigid body with fixed point on the axis of the shaft. (Russian. English summary) Zbl 1074.70511 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 1, 65-69 (2001). Reviewer: O. Yu. Zharii (Kyïv) MSC: 70E17 PDFBibTeX XMLCite \textit{G. B. Filimonikhin}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 1, 65--69 (2001; Zbl 1074.70511)
Krivtsov, A. M. About using moment of momentum and angular velocity vectors for description of rotational motions of a rigid body. (English) Zbl 1035.70504 ZAMM, Z. Angew. Math. Mech. 81, No. 6, 393-402 (2001). MSC: 70E17 70G45 70E20 PDFBibTeX XMLCite \textit{A. M. Krivtsov}, ZAMM, Z. Angew. Math. Mech. 81, No. 6, 393--402 (2001; Zbl 1035.70504) Full Text: DOI
Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. (English) Zbl 1059.70012 SIAM J. Numer. Anal. 39, No. 2, 499-518 (2001). Reviewer: Fabio Bagagiolo (Trento) MSC: 70H20 70-08 PDFBibTeX XMLCite \textit{E. R. Jakobsen} et al., SIAM J. Numer. Anal. 39, No. 2, 499--518 (2001; Zbl 1059.70012) Full Text: DOI
Manoff, S. Frames of reference in spaces with affine connections and metrics. (English) Zbl 0980.53033 Classical Quantum Gravity 18, No. 6, 1111-1125 (2001). Reviewer: Maido Rahula (Tartu) MSC: 53B50 83C10 53B05 70E15 PDFBibTeX XMLCite \textit{S. Manoff}, Classical Quantum Gravity 18, No. 6, 1111--1125 (2001; Zbl 0980.53033) Full Text: DOI arXiv
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E. Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems. (English) Zbl 0980.93065 Int. J. Robust Nonlinear Control 11, No. 3, 191-214 (2001). Reviewer: Peter Kraut (Erlabrunn) MSC: 93D15 70Q05 70H03 93C10 70H33 PDFBibTeX XMLCite \textit{A. M. Bloch} et al., Int. J. Robust Nonlinear Control 11, No. 3, 191--214 (2001; Zbl 0980.93065) Full Text: DOI Link
Mendes Carvalho, João Carlos; Ceccarelli, Marco A closed-form formulation for the inverse dynamics of a Cassino parallel manipulator. (English) Zbl 0983.70008 Multibody Syst. Dyn. 5, No. 2, 185-210 (2001). MSC: 70E60 PDFBibTeX XMLCite \textit{J. C. Mendes Carvalho} and \textit{M. Ceccarelli}, Multibody Syst. Dyn. 5, No. 2, 185--210 (2001; Zbl 0983.70008) Full Text: DOI
Iglesias, Patrick Symmetries and moment. (Symétries et moment.) (French) Zbl 0982.70001 Collection Enseignement des Sciences. 54. Paris: Hermann. 204 p. (2001). Reviewer: Manuel de León (Madrid) MSC: 70-02 70H33 70G45 70E20 PDFBibTeX XMLCite \textit{P. Iglesias}, Symétries et moment. Paris: Hermann (2001; Zbl 0982.70001)
Engø, Kenth; Faltinsen, Stig Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy. (English) Zbl 0993.65142 SIAM J. Numer. Anal. 39, No. 1, 128-145 (2001). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 34A26 65L06 70H05 37M15 37C25 37J05 PDFBibTeX XMLCite \textit{K. Engø} and \textit{S. Faltinsen}, SIAM J. Numer. Anal. 39, No. 1, 128--145 (2001; Zbl 0993.65142) Full Text: DOI