Dirac structures in Lagrangian mechanics Part I: Implicit Lagrangian systems
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[1] Gabriel Kron,et al. Tensor analysis of networks , 1967 .
[2] Paul Adrien Maurice Dirac,et al. Generalized Hamiltonian dynamics , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[3] C Wansdronk. On the mechanism of hearing. , 1961 .
[4] Gabriel Kron,et al. Diakoptics : the piecewise solution of large-scale systems , 1963 .
[5] J. K. Moser,et al. A theory of nonlinear networks. I , 1964 .
[6] Ralph Abraham,et al. Foundations Of Mechanics , 2019 .
[7] Lagrangian systems on manifolds, I , 1970 .
[8] Frank Harary,et al. Mathematical aspects of electrical network analysis , 1971 .
[9] S. Smale. On the mathematical foundations of electrical circuit theory , 1972 .
[10] I. Neĭmark,et al. Dynamics of Nonholonomic Systems , 1972 .
[11] Alan S. Perelson,et al. Chemical reaction dynamics part II: Reaction networks , 1974 .
[12] G. Oster,et al. Chemical reaction dynamics , 1974 .
[13] L. Chua,et al. A theory of nonenergic N‐ports , 1977 .
[14] W. M. Tulczyjew. The Legendre transformation , 1977 .
[15] S. Sastry,et al. Jump behavior of circuits and systems , 1981, CDC 1981.
[16] Ray Skinner,et al. Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕TQ , 1983 .
[17] R. Weber,et al. Hamiltonian systems with constraints and their meaning in mechanics , 1986 .
[18] Irene Ya. Dorfman,et al. Dirac structures of integrable evolution equations , 1987 .
[19] Leon O. Chua,et al. Linear and nonlinear circuits , 1987 .
[20] T. Courant. Tangent dirac structures , 1990 .
[21] J. Koiller. Reduction of some classical non-holonomic systems with symmetry , 1992 .
[22] A. Schaft,et al. An intrinsic Hamiltonian formulation of the dynamics of LC-circuits , 1995 .
[23] van der Arjan Schaft,et al. On the Hamiltonian Formulation of Nonholonomic Mechanical Systems , 1994 .
[24] J. Marsden,et al. Introduction to mechanics and symmetry , 1994 .
[25] A. Schaft,et al. The Hamiltonian formulation of energy conserving physical systems with external ports , 1995 .
[26] L. D. Faddeev,et al. Lagrangian Mechanics in Invariant Form , 1995 .
[27] P. Krishnaprasad,et al. Nonholonomic mechanical systems with symmetry , 1996 .
[28] Jerrold E. Marsden,et al. The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems , 1997 .
[29] Darryl D. Holm,et al. The Maxwell–Vlasov equations in Euler–Poincaré form , 1998, chao-dyn/9801016.
[30] A. J. van der Schaft,et al. Implicit Hamiltonian Systems with Symmetry , 1998 .
[31] Jerrold E. Marsden,et al. Poisson reduction for nonholonomic mechanical systems with symmetry , 1998 .
[32] A. Schaft,et al. On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems , 1999 .
[33] Arjan van der Schaft,et al. Symmetry and reduction in implicit generalized Hamiltonian systems , 1999 .
[34] Jerrold E. Marsden,et al. Lagrangian Reduction by Stages , 2001 .
[35] Sonia Martínez,et al. Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions , 2002, SIAM J. Control. Optim..
[36] Jerrold E. Marsden,et al. Variational integrators for degenerate Lagrangians, with application to point vortices , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..
[37] Naomi Ehrich Leonard,et al. The equivalence of controlled lagrangian and controlled hamiltonian systems , 2002 .
[38] A. Bloch,et al. Nonholonomic Mechanics and Control , 2004, IEEE Transactions on Automatic Control.
[39] Critical manifolds and stability in Hamiltonian systems with non-holonomic constraints , 2003, math-ph/0302017.
[40] Jerrold E. Marsden,et al. Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry , 2004, SIAM J. Control. Optim..
[41] Tudor S. Ratiu,et al. Singular reduction of implicit Hamiltonian systems , 2003, math/0303022.
[42] Dirk Aeyels,et al. A Novel Variational Method for Deriving Lagrangian and Hamiltonian Models of Inductor-Capacitor Circuits , 2004, SIAM Rev..