Guzzo, Massimiliano; Lega, Elena Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics. (English) Zbl 07725899 Celest. Mech. Dyn. Astron. 135, No. 4, Paper No. 37, 36 p. (2023). MSC: 70F15 70K55 PDFBibTeX XMLCite \textit{M. Guzzo} and \textit{E. Lega}, Celest. Mech. Dyn. Astron. 135, No. 4, Paper No. 37, 36 p. (2023; Zbl 07725899) Full Text: DOI
Azizpour, Esmaeil; Moazzami, Ghazale Tracking a target in a three-dimensional space by a nonholonomic constraint. (English) Zbl 1519.70013 J. Finsler Geom. Appl. 3, No. 1, 72-85 (2022). MSC: 70F25 70H03 70G45 70P99 PDFBibTeX XMLCite \textit{E. Azizpour} and \textit{G. Moazzami}, J. Finsler Geom. Appl. 3, No. 1, 72--85 (2022; Zbl 1519.70013) Full Text: DOI
Cardin, Franco; Guzzo, Massimiliano Integrability of close encounters in the spatial restricted three-body problem. (English) Zbl 1505.70031 Commun. Contemp. Math. 24, No. 6, Article ID 2150040, 41 p. (2022). MSC: 70F07 70F16 70H20 PDFBibTeX XMLCite \textit{F. Cardin} and \textit{M. Guzzo}, Commun. Contemp. Math. 24, No. 6, Article ID 2150040, 41 p. (2022; Zbl 1505.70031) Full Text: DOI arXiv
Lemos, Nivaldo A. Complete inequivalence of nonholonomic and vakonomic mechanics. (English) Zbl 1502.70035 Acta Mech. 233, No. 1, 47-56 (2022). MSC: 70F25 70H99 PDFBibTeX XMLCite \textit{N. A. Lemos}, Acta Mech. 233, No. 1, 47--56 (2022; Zbl 1502.70035) Full Text: DOI arXiv
Paez, Rocío I.; Guzzo, Massimiliano Transits close to the Lagrangian solutions \(L_1, L_2\) in the elliptic restricted three-body problem. (English) Zbl 1476.70026 Nonlinearity 34, No. 9, 6417-6449 (2021). MSC: 70F07 70F15 37J40 70M20 37D10 37D05 PDFBibTeX XMLCite \textit{R. I. Paez} and \textit{M. Guzzo}, Nonlinearity 34, No. 9, 6417--6449 (2021; Zbl 1476.70026) Full Text: DOI arXiv
Chen, Qinbo; Pinzari, Gabriella Exponential stability of fast driven systems, with an application to celestial mechanics. (English) Zbl 1472.34104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112306, 44 p. (2021). Reviewer: Bertin Zinsou (Johannesburg) MSC: 34D20 34C20 70F10 37J40 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{G. Pinzari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112306, 44 p. (2021; Zbl 1472.34104) Full Text: DOI arXiv
Colombo, Giovanni; Gidoni, Paolo On the optimal control of rate-independent soft crawlers. (English. French summary) Zbl 1456.49007 J. Math. Pures Appl. (9) 146, 127-157 (2021). MSC: 49J21 49M25 70Q05 70E60 PDFBibTeX XMLCite \textit{G. Colombo} and \textit{P. Gidoni}, J. Math. Pures Appl. (9) 146, 127--157 (2021; Zbl 1456.49007) Full Text: DOI arXiv
Fassò, Francesco; Passarella, Simone; Zoppello, Marta Control of locomotion systems and dynamics in relative periodic orbits. (English) Zbl 1459.37092 J. Geom. Mech. 12, No. 3, 395-420 (2020). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37N35 34H05 70Q05 70E60 PDFBibTeX XMLCite \textit{F. Fassò} et al., J. Geom. Mech. 12, No. 3, 395--420 (2020; Zbl 1459.37092) Full Text: DOI
Lewis, Andrew D. Nonholonomic and constrained variational mechanics. (English) Zbl 1476.70057 J. Geom. Mech. 12, No. 2, 165-308 (2020); erratum ibid. 12, No. 4, 671-675 (2020). MSC: 70F25 70G45 34C45 46E35 49K05 53C05 53C17 PDFBibTeX XMLCite \textit{A. D. Lewis}, J. Geom. Mech. 12, No. 2, 165--308 (2020; Zbl 1476.70057) Full Text: DOI DOI
Darbon, Jérôme; Meng, Tingwei On decomposition models in imaging sciences and multi-time Hamilton-Jacobi partial differential equations. (English) Zbl 1455.35051 SIAM J. Imaging Sci. 13, No. 2, 971-1014 (2020). MSC: 35F21 35F25 70H20 90C25 65K10 PDFBibTeX XMLCite \textit{J. Darbon} and \textit{T. Meng}, SIAM J. Imaging Sci. 13, No. 2, 971--1014 (2020; Zbl 1455.35051) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Jóźwikowski} and \textit{W. Respondek}, J. Geom. Mech. 11, No. 1, 77--122 (2019; Zbl 1426.49050) Full Text: DOI arXiv
Cardin, Franco; Favretti, Marco; Lovison, Alberto; Masci, Leonardo Stochastic and geometric aspects of reduced reaction-diffusion dynamics. (English) Zbl 1419.82029 Ric. Mat. 68, No. 1, 103-118 (2019). MSC: 82C05 60F10 37L25 35Q84 70H20 82C31 35K57 37B30 82C35 PDFBibTeX XMLCite \textit{F. Cardin} et al., Ric. Mat. 68, No. 1, 103--118 (2019; Zbl 1419.82029) Full Text: DOI
Díaz, Viviana Alejandra; Martín de Diego, David Generalized variational calculus for continuous and discrete mechanical systems. (English) Zbl 1452.70012 J. Geom. Mech. 10, No. 4, 373-410 (2018). Reviewer: Mario Jorge Dias Carneiro (Belo Horizonte) MSC: 70G75 37J60 49N90 PDFBibTeX XMLCite \textit{V. A. Díaz} and \textit{D. Martín de Diego}, J. Geom. Mech. 10, No. 4, 373--410 (2018; Zbl 1452.70012) Full Text: DOI arXiv
Esen, Oğul; Guha, Partha On the geometry of the Schmidt-Legendre transformation. (English) Zbl 1411.70029 J. Geom. Mech. 10, No. 3, 251-291 (2018). MSC: 70H50 70H45 PDFBibTeX XMLCite \textit{O. Esen} and \textit{P. Guha}, J. Geom. Mech. 10, No. 3, 251--291 (2018; Zbl 1411.70029) Full Text: DOI
Treanţă, Savin Higher-order Hamilton dynamics and Hamilton-Jacobi divergence PDE. (English) Zbl 1408.37111 Comput. Math. Appl. 75, No. 2, 547-560 (2018). MSC: 37K05 37J05 35Q93 35F21 70H20 PDFBibTeX XMLCite \textit{S. Treanţă}, Comput. Math. Appl. 75, No. 2, 547--560 (2018; Zbl 1408.37111) Full Text: DOI
Terra, Gláucio Vakonomic versus nonholonomic mechanics revisited. (English) Zbl 1433.70025 São Paulo J. Math. Sci. 12, No. 1, 136-145 (2018). MSC: 70F25 37J60 53C17 70G45 PDFBibTeX XMLCite \textit{G. Terra}, São Paulo J. Math. Sci. 12, No. 1, 136--145 (2018; Zbl 1433.70025) Full Text: DOI
Khajeh Salehani, Mahdi A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems. (English) Zbl 1499.70013 Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850112, 36 p. (2018). MSC: 70F25 34A26 70H45 PDFBibTeX XMLCite \textit{M. Khajeh Salehani}, Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850112, 36 p. (2018; Zbl 1499.70013) Full Text: DOI
Esen, Oğul; de León, Manuel; Sardón, Cristina A Hamilton-Jacobi theory for implicit differential systems. (English) Zbl 1385.58006 J. Math. Phys. 59, No. 2, 022902, 26 p. (2018). MSC: 58E05 49L20 70H05 53D12 70H20 PDFBibTeX XMLCite \textit{O. Esen} et al., J. Math. Phys. 59, No. 2, 022902, 26 p. (2018; Zbl 1385.58006) Full Text: DOI arXiv
Martínez, Eduardo Linearization of nonlinear connections on vector and affine bundles, and some applications. (English) Zbl 1404.53035 J. Phys. A, Math. Theor. 51, No. 6, Article ID 065201, 33 p. (2018). Reviewer: Ioan Bucataru (Iaşi) MSC: 53C07 53B05 70H20 PDFBibTeX XMLCite \textit{E. Martínez}, J. Phys. A, Math. Theor. 51, No. 6, Article ID 065201, 33 p. (2018; Zbl 1404.53035) Full Text: DOI arXiv Link
Haddout, Soufiane A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints. (English) Zbl 1386.70031 J. Geom. Phys. 123, 495-506 (2018). MSC: 70F25 37J60 70H03 70G45 37N15 00A69 74P20 PDFBibTeX XMLCite \textit{S. Haddout}, J. Geom. Phys. 123, 495--506 (2018; Zbl 1386.70031) Full Text: DOI
Treanţă, Savin; Udrişte, Constantin Single-time and multi-time Hamilton-Jacobi theory based on higher order Lagrangians. (English) Zbl 1402.70019 Adhikari, Avishek (ed.) et al., Mathematical and statistical applications in life sciences and engineering. Singapore: Springer (ISBN 978-981-10-5369-6/hbk; 978-981-10-5370-2/ebook). 71-95 (2017). MSC: 70H20 49K15 PDFBibTeX XMLCite \textit{S. Treanţă} and \textit{C. Udrişte}, in: Mathematical and statistical applications in life sciences and engineering. Singapore: Springer. 71--95 (2017; Zbl 1402.70019) Full Text: DOI
Marò, Stefano; Sorrentino, Alfonso Aubry-Mather theory for conformally symplectic systems. (English) Zbl 1380.37117 Commun. Math. Phys. 354, No. 2, 775-808 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J50 70G75 PDFBibTeX XMLCite \textit{S. Marò} and \textit{A. Sorrentino}, Commun. Math. Phys. 354, No. 2, 775--808 (2017; Zbl 1380.37117) Full Text: DOI arXiv
Bernardi, Olga; Dalla Riva, Matteo Analytic dependence on parameters for Evans’ approximated weak KAM solutions. (English) Zbl 1375.37154 Discrete Contin. Dyn. Syst. 37, No. 9, 4625-4636 (2017). Reviewer: Wolfgang G. Hollik (Hamburg) MSC: 37J40 70H08 70H09 47H14 70H20 41A58 PDFBibTeX XMLCite \textit{O. Bernardi} and \textit{M. Dalla Riva}, Discrete Contin. Dyn. Syst. 37, No. 9, 4625--4636 (2017; Zbl 1375.37154) Full Text: DOI
Gołubowska, Barbara Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies. (English) Zbl 07775082 ZAMM, Z. Angew. Math. Mech. 96, No. 8, 968-985 (2016). MSC: 70F25 PDFBibTeX XMLCite \textit{B. Gołubowska}, ZAMM, Z. Angew. Math. Mech. 96, No. 8, 968--985 (2016; Zbl 07775082) Full Text: DOI arXiv
Kozlov, Valery V. The dynamics of systems with servoconstraints. II. (English) Zbl 1353.70012 Regul. Chaotic Dyn. 20, No. 4, 401-427 (2015); translation in Nelineĭn. Din. 11, No. 3, 579-611 (2015). MSC: 70E18 34C40 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Regul. Chaotic Dyn. 20, No. 4, 401--427 (2015; Zbl 1353.70012); translation in Nelineĭn. Din. 11, No. 3, 579--611 (2015) Full Text: DOI
Jiménez, Fernando; Yoshimura, Hiroaki Dirac structures in vakonomic mechanics. (English) Zbl 1345.70031 J. Geom. Phys. 94, 158-178 (2015). MSC: 70H45 70F25 70H30 PDFBibTeX XMLCite \textit{F. Jiménez} and \textit{H. Yoshimura}, J. Geom. Phys. 94, 158--178 (2015; Zbl 1345.70031) Full Text: DOI arXiv
Cardin, Franco; Lovison, Alberto Finite mechanical proxies for a class of reducible continuum systems. (English) Zbl 1305.74020 Netw. Heterog. Media 9, No. 3, 417-432 (2014). MSC: 74B20 70J50 65F18 PDFBibTeX XMLCite \textit{F. Cardin} and \textit{A. Lovison}, Netw. Heterog. Media 9, No. 3, 417--432 (2014; Zbl 1305.74020) Full Text: DOI arXiv
Barbero-Liñán, María; de León, Manuel; Martín de Diego, David Lagrangian submanifolds and the Hamilton-Jacobi equation. (English) Zbl 1312.70013 Monatsh. Math. 171, No. 3-4, 269-290 (2013). Reviewer: Antonio De Nicola (Coimbra) MSC: 70H20 70G45 70F20 70F25 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} et al., Monatsh. Math. 171, No. 3--4, 269--290 (2013; Zbl 1312.70013) Full Text: DOI arXiv
Celletti, Alessandra Some aspects of conservative and dissipative KAM theorems. (English) Zbl 1331.37080 Milan J. Math. 80, No. 1, 25-46 (2012). MSC: 37J40 34D35 70H08 70F15 PDFBibTeX XMLCite \textit{A. Celletti}, Milan J. Math. 80, No. 1, 25--46 (2012; Zbl 1331.37080) Full Text: DOI
Maruskin, Jared M.; Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. A fiber bundle approach to the transpositional relations in nonholonomic mechanics. (English) Zbl 1251.70016 J. Nonlinear Sci. 22, No. 4, 431-461 (2012). MSC: 70H45 PDFBibTeX XMLCite \textit{J. M. Maruskin} et al., J. Nonlinear Sci. 22, No. 4, 431--461 (2012; Zbl 1251.70016) Full Text: DOI
Flannery, M. R. D’alembert-Lagrange analytical dynamics for nonholonomic systems. (English) Zbl 1315.70008 J. Math. Phys. 52, No. 3, 032705, 29 p. (2011). MSC: 70F25 70H03 37J60 PDFBibTeX XMLCite \textit{M. R. Flannery}, J. Math. Phys. 52, No. 3, 032705, 29 p. (2011; Zbl 1315.70008) Full Text: DOI
Swaczyna, Martin Several examples of nonholonomic mechanical systems. (English) Zbl 1323.70075 Commun. Math. 19, No. 1, 27-56 (2011). MSC: 70G45 70G75 37J60 70F25 70H30 PDFBibTeX XMLCite \textit{M. Swaczyna}, Commun. Math. 19, No. 1, 27--56 (2011; Zbl 1323.70075) Full Text: EuDML
Cardin, Franco; De Marco, Giuseppe; Sfondrini, Alessandro Finite reduction and Morse index estimates for mechanical systems. (English) Zbl 1227.70016 NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 5, 557-569 (2011). MSC: 70H25 37B30 35J61 PDFBibTeX XMLCite \textit{F. Cardin} et al., NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 5, 557--569 (2011; Zbl 1227.70016) Full Text: DOI arXiv
Vallée, Claude; Hjiaj, Mohammed; Fortuné, Danielle; de Saxcé, Géry Canonical and anti-canonical transformations preserving convexity of potentials. (English) Zbl 1273.74027 J. Elasticity 103, No. 2, 247-267 (2011). MSC: 74B99 70H15 PDFBibTeX XMLCite \textit{C. Vallée} et al., J. Elasticity 103, No. 2, 247--267 (2011; Zbl 1273.74027) Full Text: DOI
Graffi, Sandro; Zanelli, Lorenzo Global parametrices for the Schrödinger propagator and geometric approach to the Hamilton-Jacobi equation. (English) Zbl 1219.35007 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 22, No. 1, 17-28 (2011). MSC: 35A17 35A27 35Q41 70H20 81Q20 35S30 PDFBibTeX XMLCite \textit{S. Graffi} and \textit{L. Zanelli}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 22, No. 1, 17--28 (2011; Zbl 1219.35007) Full Text: DOI arXiv
Efendiev, Yalchin R.; Truskinovsky, Lev Thermalization of a driven bi-stable FPU chain. (English) Zbl 1234.82005 Contin. Mech. Thermodyn. 22, No. 6-8, 679-698 (2010). MSC: 82B21 70F99 70H99 PDFBibTeX XMLCite \textit{Y. R. Efendiev} and \textit{L. Truskinovsky}, Contin. Mech. Thermodyn. 22, No. 6--8, 679--698 (2010; Zbl 1234.82005) Full Text: DOI HAL
Krupková, Olga Geometric mechanics on nonholonomic submanifolds. (English) Zbl 1248.70018 Commun. Math. 18, No. 1, 51-77 (2010). Reviewer: Agostino Prástaro (Roma) MSC: 70G45 70F25 PDFBibTeX XMLCite \textit{O. Krupková}, Commun. Math. 18, No. 1, 51--77 (2010; Zbl 1248.70018) Full Text: EuDML
Guiotto, P.; Zanelli, L. The geometry of generating functions for a class of Hamiltonians in the noncompact case. (English) Zbl 1372.53088 J. Geom. Phys. 60, No. 10, 1381-1401 (2010). MSC: 53D35 37J05 53D12 70H20 PDFBibTeX XMLCite \textit{P. Guiotto} and \textit{L. Zanelli}, J. Geom. Phys. 60, No. 10, 1381--1401 (2010; Zbl 1372.53088) Full Text: DOI
Crampin, M.; Mestdag, T. Anholonomic frames in constrained dynamics. (English) Zbl 1200.37056 Dyn. Syst. 25, No. 2, 159-187 (2010). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37J60 34A26 70G45 70G75 70H03 PDFBibTeX XMLCite \textit{M. Crampin} and \textit{T. Mestdag}, Dyn. Syst. 25, No. 2, 159--187 (2010; Zbl 1200.37056) Full Text: DOI arXiv Link
Bressan, Alberto; Rampazzo, Franco Moving constraints as stabilizing controls in classical mechanics. (English) Zbl 1304.70028 Arch. Ration. Mech. Anal. 196, No. 1, 97-141 (2010). MSC: 70Q05 70H03 70G45 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{F. Rampazzo}, Arch. Ration. Mech. Anal. 196, No. 1, 97--141 (2010; Zbl 1304.70028) Full Text: DOI arXiv
Bressan, Alberto Singular limits for impulsive Lagrangian systems with dissipative sources. (English) Zbl 1350.70041 Staicu, Vasile (ed.), Differential equations, chaos and variational problems. Papers from the conference “Views on ODE’s”, Aveiro, Portugal, June 2006. Basel: Birkhäuser (ISBN 978-3-7643-8481-4/hbk). Progress in Nonlinear Differential Equations and Their Applications 75, 79-103 (2008). MSC: 70H03 70Q05 34H05 34A36 34A37 49J30 PDFBibTeX XMLCite \textit{A. Bressan}, Prog. Nonlinear Differ. Equ. Appl. 75, 79--103 (2008; Zbl 1350.70041) Full Text: DOI
Cardin, Franco; Viterbo, Claude Commuting Hamiltonians and Hamilton-Jacobi multi-time equations. (English) Zbl 1153.37029 Duke Math. J. 144, No. 2, 235-284 (2008). Reviewer: Enrico Valdinoci (Rom) MSC: 37J10 57R17 35F20 35F25 49L25 70H20 PDFBibTeX XMLCite \textit{F. Cardin} and \textit{C. Viterbo}, Duke Math. J. 144, No. 2, 235--284 (2008; Zbl 1153.37029) Full Text: DOI arXiv
Guo, Yong-Xin; Liu, Shi-Xing; Liu, Chang; Luo, Shao-Kai; Wang, Yong Influence of nonholonomic constraints on variations, symplectic structure, and dynamics of mechanical systems. (English) Zbl 1152.81458 J. Math. Phys. 48, No. 8, 082901, 12 p. (2007). MSC: 70F25 37J60 70H45 PDFBibTeX XMLCite \textit{Y.-X. Guo} et al., J. Math. Phys. 48, No. 8, 082901, 12 p. (2007; Zbl 1152.81458) Full Text: DOI
García, P. L.; García, A.; Rodrigo, C. Cartan forms for first order constrained variational problems. (English) Zbl 1089.58013 J. Geom. Phys. 56, No. 4, 571-610 (2006). MSC: 58E30 58A15 70S05 70S10 53A10 70H30 PDFBibTeX XMLCite \textit{P. L. García} et al., J. Geom. Phys. 56, No. 4, 571--610 (2006; Zbl 1089.58013) Full Text: DOI
Guo, Yong-Xin; Wang, Yong; Chee, G. Y.; Mei, Feng-Xiang Nonholonomic versus vakonomic dynamics on a Riemann-Cartan manifold. (English) Zbl 1110.70018 J. Math. Phys. 46, No. 6, 062902, 10 p. (2005). MSC: 70F25 37J60 53Dxx 70G45 PDFBibTeX XMLCite \textit{Y.-X. Guo} et al., J. Math. Phys. 46, No. 6, 062902, 10 p. (2005; Zbl 1110.70018) Full Text: DOI
Pavon, Michele Hamilton-Jacobi equations for nonholonomic dynamics. (English) Zbl 1067.70018 J. Math. Phys. 46, No. 3, 032902, 8 p. (2005). MSC: 70H20 70F25 PDFBibTeX XMLCite \textit{M. Pavon}, J. Math. Phys. 46, No. 3, 032902, 8 p. (2005; Zbl 1067.70018) Full Text: DOI arXiv
Chen, Thomas Critical manifolds and stability in Hamiltonian systems with nonholonomic constraints. (English) Zbl 1077.70008 J. Geom. Phys. 49, No. 3-4, 418-462 (2004). MSC: 70F25 70H14 70G45 PDFBibTeX XMLCite \textit{T. Chen}, J. Geom. Phys. 49, No. 3--4, 418--462 (2004; Zbl 1077.70008) Full Text: DOI arXiv
Capitanio, Gianmarco Generic singularities of minimax solutions to Hamilton-Jacobi equations. (English) Zbl 1080.53075 J. Geom. Phys. 52, No. 4, 458-468 (2004). Reviewer: Jacobo Pejsachowicz (Torino) MSC: 53D05 37J05 70H20 49L20 53D12 PDFBibTeX XMLCite \textit{G. Capitanio}, J. Geom. Phys. 52, No. 4, 458--468 (2004; Zbl 1080.53075) Full Text: DOI arXiv
Cardin, Franco The global finite structure of generic envelope loci for Hamilton-Jacobi equations. (English) Zbl 1059.53067 J. Math. Phys. 43, No. 1, 417-430 (2002). MSC: 53D22 70H20 PDFBibTeX XMLCite \textit{F. Cardin}, J. Math. Phys. 43, No. 1, 417--430 (2002; Zbl 1059.53067) Full Text: DOI
Martínez, Sonia; Cortés, Jorge; de León, Manuel Symmetries in vakonomic dynamics: Applications to optimal control. (English) Zbl 1022.70014 J. Geom. Phys. 38, No. 3-4, 343-365 (2001). MSC: 70Q05 70H33 49J15 70G65 PDFBibTeX XMLCite \textit{S. Martínez} et al., J. Geom. Phys. 38, No. 3--4, 343--365 (2001; Zbl 1022.70014) Full Text: DOI
Kupka, Ivan; Oliva, Waldyr M. The nonholonomic mechanics. (English) Zbl 0996.70013 J. Differ. Equations 169, No. 1, 169-189 (2001). Reviewer: Teodor Atanackovic (Novi Sad) MSC: 70F25 70H30 PDFBibTeX XMLCite \textit{I. Kupka} and \textit{W. M. Oliva}, J. Differ. Equations 169, No. 1, 169--189 (2001; Zbl 0996.70013) Full Text: DOI
Martínez, Sonia; Cortés, Jorge; de León, Manuel The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracket. (English) Zbl 0995.37048 J. Math. Phys. 41, No. 4, 2090-2120 (2000). Reviewer: Jesús Marín-Solano (Barcelona) MSC: 37J60 70G45 70H45 PDFBibTeX XMLCite \textit{S. Martínez} et al., J. Math. Phys. 41, No. 4, 2090--2120 (2000; Zbl 0995.37048) Full Text: DOI Link
Zampieri, Gaetano Nonholonomic versus vakonomic dynamics. (English) Zbl 0962.70021 J. Differ. Equations 163, No. 2, 335-347 (2000). MSC: 70H25 70H03 PDFBibTeX XMLCite \textit{G. Zampieri}, J. Differ. Equations 163, No. 2, 335--347 (2000; Zbl 0962.70021) Full Text: DOI arXiv
Giachetta, G.; Mangiarotti, L.; Sardanashvily, G. Nonholonomic constraints in time-dependent mechanics. (English) Zbl 0976.70010 J. Math. Phys. 40, No. 3, 1376-1390 (1999). MSC: 70F25 70G45 70H05 70H45 PDFBibTeX XMLCite \textit{G. Giachetta} et al., J. Math. Phys. 40, No. 3, 1376--1390 (1999; Zbl 0976.70010) Full Text: DOI arXiv
Marle, Charles-Michel Various approaches to conservative and nonconservative nonholonomic systems. (English) Zbl 0931.37023 Rep. Math. Phys. 42, No. 1-2, 211-229 (1998). Reviewer: Roland Wisk (Berlin) MSC: 37J60 37K05 70H33 37J15 70F25 PDFBibTeX XMLCite \textit{C.-M. Marle}, Rep. Math. Phys. 42, No. 1--2, 211--229 (1998; Zbl 0931.37023) Full Text: DOI
Krupková, Olga Mechanical systems with nonholonomic constraints. (English) Zbl 0926.70018 J. Math. Phys. 38, No. 10, 5098-5126 (1997). Reviewer: David Martin de Diego (Valladolid) MSC: 70F25 70G45 PDFBibTeX XMLCite \textit{O. Krupková}, J. Math. Phys. 38, No. 10, 5098--5126 (1997; Zbl 0926.70018) Full Text: DOI
Massa, Enrico; Pagani, Enrico A new look at classical mechanics of constrained systems. (English) Zbl 0878.70009 Ann. Inst. Henri Poincaré, Phys. Théor. 66, No. 1, 1-36 (1997). MSC: 70F25 70H03 PDFBibTeX XMLCite \textit{E. Massa} and \textit{E. Pagani}, Ann. Inst. Henri Poincaré, Phys. Théor. 66, No. 1, 1--36 (1997; Zbl 0878.70009) Full Text: Numdam EuDML
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. Nonholonomic mechanical systems with symmetry. (English) Zbl 0886.70014 Arch. Ration. Mech. Anal. 136, No. 1, 21-99 (1996). Reviewer: V.Marinca (Timişoara) MSC: 70F25 70H33 70H03 70G45 PDFBibTeX XMLCite \textit{A. M. Bloch} et al., Arch. Ration. Mech. Anal. 136, No. 1, 21--99 (1996; Zbl 0886.70014) Full Text: DOI
Cardin, Franco; Favretti, Marco On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints. (English) Zbl 0864.70007 J. Geom. Phys. 18, No. 4, 295-325 (1996). Reviewer: T.Atanackovic (Novi Sad) MSC: 70F25 49S05 PDFBibTeX XMLCite \textit{F. Cardin} and \textit{M. Favretti}, J. Geom. Phys. 18, No. 4, 295--325 (1996; Zbl 0864.70007) Full Text: DOI
Marle, Charles-Michel Reduction of constrained mechanical systems and stability of relative equilibria. (English) Zbl 0859.70012 Commun. Math. Phys. 174, No. 2, 295-318 (1995). Reviewer: K.Horneffer (Bremen) MSC: 70H05 70H33 37J99 PDFBibTeX XMLCite \textit{C.-M. Marle}, Commun. Math. Phys. 174, No. 2, 295--318 (1995; Zbl 0859.70012) Full Text: DOI
Rañada, Manuel F. Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints. (English) Zbl 0821.70013 J. Math. Phys. 35, No. 2, 748-758 (1994). Reviewer: V.Marinca (Timişoara) MSC: 70H03 70F25 70G45 PDFBibTeX XMLCite \textit{M. F. Rañada}, J. Math. Phys. 35, No. 2, 748--758 (1994; Zbl 0821.70013) Full Text: DOI
de León, Manuel; Rodrigues, Paulo R. Higher-order mechanical systems with constraints. (English) Zbl 0766.58019 Int. J. Theor. Phys. 31, No. 7, 1303-1313 (1992). Reviewer: I.Kolář (Brno) MSC: 37J99 53C15 70H99 PDFBibTeX XMLCite \textit{M. de León} and \textit{P. R. Rodrigues}, Int. J. Theor. Phys. 31, No. 7, 1303--1313 (1992; Zbl 0766.58019) Full Text: DOI
Gràcia, Xavier; Pons, Josep M. A generalized geometric framework for constrained systems. (English) Zbl 0763.34001 Differ. Geom. Appl. 2, No. 3, 223-247 (1992). Reviewer: S.L.Campbell (Raleigh) MSC: 34A09 37J99 70H05 PDFBibTeX XMLCite \textit{X. Gràcia} and \textit{J. M. Pons}, Differ. Geom. Appl. 2, No. 3, 223--247 (1992; Zbl 0763.34001) Full Text: DOI
Massa, Enrico; Pagani, Enrico Classical dynamics of non-holonomic systems: A geometric approach. (English) Zbl 0731.70012 Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 1, 511-544 (1991). MSC: 70F25 70H30 PDFBibTeX XMLCite \textit{E. Massa} and \textit{E. Pagani}, Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 1, 511--544 (1991; Zbl 0731.70012) Full Text: Numdam EuDML
Cardin, Franco Morse families and constrained mechanical systems. Generalized hyperelastic materials. (English) Zbl 0752.73017 Meccanica 26, No. 2-3, 161-167 (1991). MSC: 74B20 70F20 PDFBibTeX XMLCite \textit{F. Cardin}, Meccanica 26, No. 2--3, 161--167 (1991; Zbl 0752.73017) Full Text: DOI
Cardin, Franco A generalized theory of classical mechanics for the two body problem. (English) Zbl 0552.70004 Rend. Sem. Mat. Univ. Padova 69, 135-151 (1983). Reviewer: B.D.Jovanovic MSC: 70F05 PDFBibTeX XMLCite \textit{F. Cardin}, Rend. Semin. Mat. Univ. Padova 69, 135--151 (1983; Zbl 0552.70004) Full Text: Numdam EuDML