Kravets, V. V.; Kravets, T. V. Kinetic energy of an asymmetric rigid body moving around a fixed point: invariant representation in terms of quaternion matrices. (English. Ukrainian original) Zbl 1272.70013 Int. Appl. Mech. 45, No. 12, 1374-1379 (2009); translation from Prik. Mekh., Kiev 45, No. 12, 133-139 (2009). MSC: 70E17 PDFBibTeX XMLCite \textit{V. V. Kravets} and \textit{T. V. Kravets}, Int. Appl. Mech. 45, No. 12, 1374--1379 (2009; Zbl 1272.70013); translation from Prik. Mekh., Kiev 45, No. 12, 133--139 (2009) Full Text: DOI
Li, Zi-Yan; Fu, Jing-Li; Chen, Li-Qun Euler-Lagrange equation from nonlocal-in-time kinetic energy of nonconservative system. (English) Zbl 1235.70035 Phys. Lett., A 374, No. 2, 106-109 (2009). MSC: 70H03 70H05 70S05 PDFBibTeX XMLCite \textit{Z.-Y. Li} et al., Phys. Lett., A 374, No. 2, 106--109 (2009; Zbl 1235.70035) Full Text: DOI
Popescu, Marcela Affine legendrians and co-legendrians. (English) Zbl 1249.53025 Carpathian J. Math. 25, No. 2, 215-227 (2009). MSC: 53B40 53C60 53C15 70G45 PDFBibTeX XMLCite \textit{M. Popescu}, Carpathian J. Math. 25, No. 2, 215--227 (2009; Zbl 1249.53025)
Popov, S. I.; Respondek, W.; Strelcyn, J.-M. On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited. (English) Zbl 1231.35159 Phys. Lett., A 373, No. 29, 2445-2453 (2009). MSC: 35Q31 35Q05 17B08 70H05 70H33 22E70 PDFBibTeX XMLCite \textit{S. I. Popov} et al., Phys. Lett., A 373, No. 29, 2445--2453 (2009; Zbl 1231.35159) Full Text: DOI
Suykens, J. A. K. Extending Newton’s law from nonlocal-in-time kinetic energy. (English) Zbl 1228.70004 Phys. Lett., A 373, No. 14, 1201-1211 (2009). MSC: 70A05 81P05 70H03 70H05 70H50 70H99 70K30 81Q20 PDFBibTeX XMLCite \textit{J. A. K. Suykens}, Phys. Lett., A 373, No. 14, 1201--1211 (2009; Zbl 1228.70004) Full Text: DOI
Kaya, Emine; Aulisa, Eugenio; Ibragimov, Akif; Seshaiyer, Padmanabhan A stability estimate for fluid structure interaction problem with non-linear beam. (English) Zbl 1184.49028 Discrete Contin. Dyn. Syst. 2009, Suppl., 424-432 (2009). MSC: 49K40 70K20 74K10 70Q05 35L10 PDFBibTeX XMLCite \textit{E. Kaya} et al., Discrete Contin. Dyn. Syst. 2009, 424--432 (2009; Zbl 1184.49028)
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S. Variational principles for spin systems and the Kirchhoff rod. (English) Zbl 1288.70012 J. Geom. Mech. 1, No. 4, 417-444 (2009). MSC: 70H33 70G65 70G75 37J15 74K10 82D30 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., J. Geom. Mech. 1, No. 4, 417--444 (2009; Zbl 1288.70012) Full Text: DOI arXiv
Levskiy, M. V. A problem on time-optimal control of a space vehicle re-orientation. (Russian, English) Zbl 1189.70128 Prikl. Mat. Mekh. 73, No. 1, 23-38 (2009); translation in J. Appl. Math. Mech. 73, No. 1, 16-25 (2009). Reviewer: Julia A. Martynyuk (Kyïv) MSC: 70Q05 93C15 PDFBibTeX XMLCite \textit{M. V. Levskiy}, Prikl. Mat. Mekh. 73, No. 1, 23--38 (2009; Zbl 1189.70128); translation in J. Appl. Math. Mech. 73, No. 1, 16--25 (2009)
Binder, B. Magic angle chaotic precession. (English) Zbl 1188.37032 Skiadas, Christos H. (ed.) et al., Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3–6 June 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4271-33-2/hbk). 31-42 (2009). Reviewer: George S. Stavrakakis (Chania) MSC: 37D45 70E05 93B05 PDFBibTeX XMLCite \textit{B. Binder}, in: Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3--6 June 2008. Hackensack, NJ: World Scientific. 31--42 (2009; Zbl 1188.37032)
Albu, Ion Doru; Opriş, Dumitru The geometry of fractional tangent bundle and applications. (English) Zbl 1182.26005 Balan, Vladimir (ed.), Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2008) and the 5th international colloquium on mathematics in engineering and numerical physics (mathematics sections) (MENP-5), Mangalia, Romania, August 29–September 02, 2008. Bucharest: Geometry Balkan Press. BSG Proceedings 16, 1-11 (2009). MSC: 26A33 53C05 70H03 58E30 PDFBibTeX XMLCite \textit{I. D. Albu} and \textit{D. Opriş}, BSG Proc. 16, 1--11 (2009; Zbl 1182.26005)
Aguilar-Ibañez, Carlos The Lyapunov direct method for the stabilisation of the ball on the actuated beam. (English) Zbl 1178.93106 Int. J. Control 82, No. 12, 2169-2178 (2009). MSC: 93D05 93B52 93D15 93D20 70Q05 PDFBibTeX XMLCite \textit{C. Aguilar-Ibañez}, Int. J. Control 82, No. 12, 2169--2178 (2009; Zbl 1178.93106) Full Text: DOI
Grabowski, Janusz; de León, Manuel; Marrero, J. C.; Martín de Diego, D. Nonholonomic constraints: a new viewpoint. (English) Zbl 1200.37057 J. Math. Phys. 50, No. 1, 013520, 17 p. (2009). MSC: 37J60 53D99 70F25 70G45 70H03 PDFBibTeX XMLCite \textit{J. Grabowski} et al., J. Math. Phys. 50, No. 1, 013520, 17 p. (2009; Zbl 1200.37057) Full Text: DOI arXiv
Naeem, I.; Mahomed, F. M. Approximate partial Noether operators and first integrals for coupled nonlinear oscillators. (English) Zbl 1176.70031 Nonlinear Dyn. 57, No. 1-2, 303-311 (2009). MSC: 70K99 70H33 PDFBibTeX XMLCite \textit{I. Naeem} and \textit{F. M. Mahomed}, Nonlinear Dyn. 57, No. 1--2, 303--311 (2009; Zbl 1176.70031) Full Text: DOI
Rübel, Jan Vibrations in nonlinear rotordynamics. Modelling, simulation, and analysis. (English) Zbl 1184.70001 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). x, 203 p. (2009). Reviewer: Eugeni Syrkin (Khar’kov) MSC: 70-02 70Kxx 65Z05 PDFBibTeX XMLCite \textit{J. Rübel}, Vibrations in nonlinear rotordynamics. Modelling, simulation, and analysis. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2009; Zbl 1184.70001) Full Text: Link
Ardentov, A. A.; Sachkov, Yu. L. Solution to Euler’s elastic problem. (English. Russian original) Zbl 1206.49019 Autom. Remote Control 70, No. 4, 633-643 (2009); translation from Avtom. Telemekh. 2009, No. 4, 78-88 (2009). MSC: 49K15 74K10 70Q05 PDFBibTeX XMLCite \textit{A. A. Ardentov} and \textit{Yu. L. Sachkov}, Autom. Remote Control 70, No. 4, 633--643 (2009; Zbl 1206.49019); translation from Avtom. Telemekh. 2009, No. 4, 78--88 (2009) Full Text: DOI
Hauray, Maxime Wasserstein distances for vortices approximation of Euler-type equations. (English) Zbl 1188.35126 Math. Models Methods Appl. Sci. 19, No. 8, 1357-1384 (2009). Reviewer: Pavel Burda (Praha) MSC: 35Q05 76B47 70F10 82C22 PDFBibTeX XMLCite \textit{M. Hauray}, Math. Models Methods Appl. Sci. 19, No. 8, 1357--1384 (2009; Zbl 1188.35126) Full Text: DOI
Akulenko, L. D.; Markov, Yu. G.; Perepelkin, V. V. Modeling the Earth-pole motion for a short period of time. (English. Russian original) Zbl 1241.70004 Dokl. Phys. 54, No. 5, 233-237 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 426, No. 1, 41-46 (2009). MSC: 70-05 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., Dokl. Phys. 54, No. 5, 233--237 (2009; Zbl 1241.70004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 426, No. 1, 41--46 (2009) Full Text: DOI
Wang, L. H.; Hu, Z. D.; Zhong, Z.; Ju, J. W. Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity. (English) Zbl 1191.74036 Acta Mech. 206, No. 3-4, 149-161 (2009). Reviewer: Vasile Marinca (Timişoara) MSC: 74K10 74H45 70H05 PDFBibTeX XMLCite \textit{L. H. Wang} et al., Acta Mech. 206, No. 3--4, 149--161 (2009; Zbl 1191.74036) Full Text: DOI
Krupková, Olga; Smetanová, Dana Lepage equivalents of second-order Euler-Lagrange forms and the inverse problem of the calculus of variations. (English) Zbl 1170.58006 J. Nonlinear Math. Phys. 16, No. 2, 235-250 (2009). MSC: 58E30 35R30 70S05 PDFBibTeX XMLCite \textit{O. Krupková} and \textit{D. Smetanová}, J. Nonlinear Math. Phys. 16, No. 2, 235--250 (2009; Zbl 1170.58006) Full Text: DOI
Morrison, P. J.; Lebovitz, Norman R.; Biello, Joseph A. The Hamiltonian description of incompressible fluid ellipsoids. (English) Zbl 1168.76010 Ann. Phys. 324, No. 8, 1747-1762 (2009). MSC: 76B99 70H05 PDFBibTeX XMLCite \textit{P. J. Morrison} et al., Ann. Phys. 324, No. 8, 1747--1762 (2009; Zbl 1168.76010) Full Text: DOI arXiv
Guo, Bao-Zhu; Yang, Kun-Yi Dynamic stabilization of an Euler-Bernoulli beam equation with time delay in boundary observation. (English) Zbl 1166.93360 Automatica 45, No. 6, 1468-1475 (2009). MSC: 93D15 93C20 70Q05 PDFBibTeX XMLCite \textit{B.-Z. Guo} and \textit{K.-Y. Yang}, Automatica 45, No. 6, 1468--1475 (2009; Zbl 1166.93360) Full Text: DOI
Ammar, Sabeur; Mabrouk, Mohamed; Vivalda, Jean Claude Observer and global output feedback stabilisation for some mechanical systems. (English) Zbl 1168.93016 Int. J. Control 82, No. 6, 1070-1081 (2009). MSC: 93D15 70Q05 93C15 93B29 PDFBibTeX XMLCite \textit{S. Ammar} et al., Int. J. Control 82, No. 6, 1070--1081 (2009; Zbl 1168.93016) Full Text: DOI
Cotter, C. J.; Holm, D. D. Continuous and discrete Clebsch variational principles. (English) Zbl 1171.37026 Found. Comput. Math. 9, No. 2, 221-242 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J15 65P10 70H45 PDFBibTeX XMLCite \textit{C. J. Cotter} and \textit{D. D. Holm}, Found. Comput. Math. 9, No. 2, 221--242 (2009; Zbl 1171.37026) Full Text: DOI arXiv Link
Krupková, Olga The nonholonomic variational principle. (English) Zbl 1198.70008 J. Phys. A, Math. Theor. 42, No. 18, Article ID 185201, 40 p. (2009). Reviewer: Cesare Tronci (Lausanne) MSC: 70G75 70F25 70G45 70H30 PDFBibTeX XMLCite \textit{O. Krupková}, J. Phys. A, Math. Theor. 42, No. 18, Article ID 185201, 40 p. (2009; Zbl 1198.70008) Full Text: DOI
Flores, Paulo; Seabra, Eurico Influence of the Baumgarte parameters on the dynamic response of multibody mechanical systems. (English) Zbl 1165.70005 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 16, No. 3, 415-432 (2009). MSC: 70E55 70-08 PDFBibTeX XMLCite \textit{P. Flores} and \textit{E. Seabra}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 16, No. 3, 415--432 (2009; Zbl 1165.70005)
Schmidt, Sven; Dullin, Holger R.; Richter, Peter H. A Poincaré section for the general heavy rigid body. (English) Zbl 1159.70004 SIAM J. Appl. Dyn. Syst. 8, No. 1, 371-389 (2009). MSC: 70E17 70K99 70H07 65P20 65P30 PDFBibTeX XMLCite \textit{S. Schmidt} et al., SIAM J. Appl. Dyn. Syst. 8, No. 1, 371--389 (2009; Zbl 1159.70004) Full Text: DOI arXiv
Komzsik, Louis Applied calculus of variations for engineers. (English) Zbl 1197.49001 Boca Raton, FL: CRC Press (ISBN 978-1-4200-8662-1/hbk). xiv, 170 p. (2009). Reviewer: Krzysztof Tchoń (Wrocław) MSC: 49-01 49K15 49K20 49M05 70-01 PDFBibTeX XMLCite \textit{L. Komzsik}, Applied calculus of variations for engineers. Boca Raton, FL: CRC Press (2009; Zbl 1197.49001)