Relevant bibliographies by topics / Constrained Hamiltonian systems

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Constrained Hamiltonian systems'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Constrained Hamiltonian systems"

1

Grillo, Sergio D. "Higher order constrained Hamiltonian systems." Journal of Mathematical Physics 50, no. 8 (2009): 082901. http://dx.doi.org/10.1063/1.3194782.

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Udwadia, Firdaus E. "Constrained motion of Hamiltonian systems." Nonlinear Dynamics 84, no. 3 (2015): 1135–45. http://dx.doi.org/10.1007/s11071-015-2558-3.

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Wang, Yong-Long, Chuan-Cong Wang, Xue-Feng Ning, Shu-Tao Ai, Hong-Zhe Pan, and Tong-Song Jiang. "Total Hamiltonian and Extended Hamiltonian for Constrained Hamilton Systems." International Journal of Theoretical Physics 47, no. 9 (2008): 2319–25. http://dx.doi.org/10.1007/s10773-008-9665-6.

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Van der schaft, A. J., and B. M. Maschke. "Mathematical Modeling of Constrained Hamiltonian Systems." IFAC Proceedings Volumes 28, no. 14 (1995): 637–42. http://dx.doi.org/10.1016/s1474-6670(17)46900-x.

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Leimkuhler, B., and S. Reich. "Symplectic integration of constrained Hamiltonian systems." Mathematics of Computation 63, no. 208 (1994): 589. http://dx.doi.org/10.1090/s0025-5718-1994-1250772-7.

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Dayi, Ömer F. "Collective coordinates and constrained hamiltonian systems." Annals of Physics 217, no. 1 (1992): 21–50. http://dx.doi.org/10.1016/0003-4916(92)90337-l.

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Giachetta, Giovanni, and Luigi Mangiarotti. "Constrained Hamiltonian systems and gauge theories." International Journal of Theoretical Physics 34, no. 12 (1995): 2353–71. http://dx.doi.org/10.1007/bf00670772.

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FISCH, JEAN M. L. "SECOND CLASS CONSTRAINTS IN THE BATALIN-VILKOVISKY LAGRANGIAN BRST QUANTIZATION." Modern Physics Letters A 05, no. 03 (1990): 195–205. http://dx.doi.org/10.1142/s021773239000024x.

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The antibracket-antifield BRST formalism developed by Batalin and Vilkovisky is applied to constrained Hamiltonian systems with second class constraints. We derive an effective path integral in which first class and second class constraints are incorporated in a BRST invariant gauge fixed action. Full explicit agreement is found with the canonical path integral quantization of systems with second class constraints and, consequently, with the Lagrangian and Hamiltonian BRST quantization of first order Hamiltonian systems where the second class constraints have been eliminated by introducing the
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Muslih, S. I. "Gauge independent Hamiltonian reduction of constrained systems." Journal of Applied Mathematics 2, no. 3 (2002): 109–20. http://dx.doi.org/10.1155/s1110757x02110333.

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Faddeev, L., and R. Jackiw. "Hamiltonian reduction of unconstrained and constrained systems." Physical Review Letters 60, no. 17 (1988): 1692–94. http://dx.doi.org/10.1103/physrevlett.60.1692.

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Dissertations / Theses on the topic "Constrained Hamiltonian systems"

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Leimkuhler, Benedict, and Sebastian Reich. "Symplectic integration of constrained Hamiltonian systems." Universität Potsdam, 1994. http://opus.kobv.de/ubp/volltexte/2007/1565/.

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A Hamiltonian system in potential form (formula in the original abstract) subject to smooth constraints on q can be viewed as a Hamiltonian system on a manifold, but numerical computations must be performed in Rn. In this paper methods which reduce "Hamiltonian differential algebraic equations" to ODEs in Euclidean space are examined. The authors study the construction of canonical parameterizations or local charts as well as methods based on the construction of ODE systems in the space in which the constraint manifold is embedded which preserve the constraint manifold as an invariant manifold
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Leppard, Steven. "Stochastic calculus, gauge fixing, and the quantization of constrained systems." Thesis, King's College London (University of London), 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343736.

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Cuell, Charles L. "An electric circuit analogue of a nonholonomically constrained Hamiltonian system." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0016/MQ47995.pdf.

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De, guillebon de resnes Loic. "Réductions hamiltoniennes en physique des plasmas autour de la gyrocinétique intrinsèque." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4038.

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La gyrocinétique est un modèle clef pour la microturbulence en physique des plasmas. Elle présente encore plusieurs difficultés, qui pourraient invalider ses équations. Ce rapport de thèse clarifie trois d'entre elles. Tout d'abord, une de des coordonnées causait des soucis, d'un point de vue tant physique que mathématique ; une coordonnée adéquate est introduite, qui dissipe les difficultés et explique les structures intrinsèques sous-jacentes. Ensuite, des relations de récurrence explicites sont obtenues pour tous les ordres du développement perturbatif. Enfin, en utilisant la structure hami
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Chhabra, Robin. "A Unified Geometric Framework for Kinematics, Dynamics and Concurrent Control of Free-base, Open-chain Multi-body Systems with Holonomic and Nonholonomic Constraints." Thesis, 2014. http://hdl.handle.net/1807/65650.

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This thesis presents a geometric approach to studying kinematics, dynamics and controls of open-chain multi-body systems with non-zero momentum and multi-degree-of-freedom joints subject to holonomic and nonholonomic constraints. Some examples of such systems appear in space robotics, where mobile and free-base manipulators are developed. The proposed approach introduces a unified framework for considering holonomic and nonholonomic, multi-degree-of-freedom joints through: (i) generalization of the product of exponentials formula for kinematics, and (ii) aggregation of the dynamical reduction
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Books on the topic "Constrained Hamiltonian systems"

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Govaerts, Jan. Hamiltonian quantisation and constrained dynamics. Leuven University Press, 1991.

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Wachsmuth, Jakob. Effective Hamiltonians for constrained quantum systems. American Mathematical Society, 2013.

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Rothe, Heinz J. Classical and quantum dynamics of constrained Hamiltonian systems. World Scientific, 2010.

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D, Rothe Klaus, ed. Classical and quantum dynamics of constrained Hamiltonian systems. World Scientific, 2010.

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Generalized Hamiltonian formalism for field theory: Constraint systems. World Scientific, 1995.

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Mercati, Flavio. Hamiltonian Formulation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0006.

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The Hamiltonian formulation of relational particle dynamics unveils its equivalence with modern gauge theory, which admits exactly the same canonical formulation. Both are constrained Hamiltonian systems with nonhonolomic constraints, for which Dirac’s analysis, made popular by his lectures, is necessary. Dirac’s analysis is briefly summarized in this chapter for readers unfamiliar with it. The Hamiltonian formulation of the kind of systems we’re interested in is nontrivial. In fact the standard formulation fails to be predictive, precisely because of the relational nature of our dynamics.
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Book chapters on the topic "Constrained Hamiltonian systems"

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Maddocks, John H., and Robert L. Sachs. "Constrained Variational Principles and Stability in Hamiltonian Systems." In Hamiltonian Dynamical Systems. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4613-8448-9_17.

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Llibre, Jaume, and Rafael Ramírez. "Inverse Problem for Constrained Hamiltonian Systems." In Progress in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26339-7_5.

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Hairer, Ernst, and Gerhard Wanner. "Symplectic Methods for Constrained Hamiltonian Systems." In Springer Series in Computational Mathematics. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-05221-7_38.

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Gerdt, Vladimir P., and Soso A. Gogilidze. "Constrained Hamiltonian Systems and Gröbner Bases." In Computer Algebra in Scientific Computing CASC’99. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-60218-4_10.

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Puta, Mircea. "Symplectic Reduction. Geometric Quantization. Constrained Mechanical Systems." In Hamiltonian Mechanical Systems and Geometric Quantization. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1992-4_9.

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Ma, XiuTeng, Li-Ping Chen, and YunQing Zhang. "RATTLE Method for Dissipative Constrained Hamiltonian Systems." In Intelligent Robotics and Applications. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-88513-9_32.

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Gui-zhang, Tu. "Hamiltonian Structures of Soliton Equations via Constrained Variational Calculus." In Dynamical Problems in Soliton Systems. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-02449-2_4.

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Ciccotti, Giovanni, and Galina Kalibaeva. "Molecular Dynamics of Complex Systems: Non-Hamiltonian, Constrained, Quantum-Classical." In Novel Methods in Soft Matter Simulations. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39895-0_5.

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Clebsch, A. "The Multiplier for the Equations of Motion of a Constrained System in Hamiltonian Form." In Texts and Readings in Mathematics. Hindustan Book Agency, 2009. http://dx.doi.org/10.1007/978-93-86279-62-0_18.

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Čelikovský, Sergej, and Milan Anderle. "On the Hamiltonian Approach to the Collocated Virtual Holonomic Constraints in the Underactuated Mechanical Systems." In Lecture Notes in Electrical Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69814-4_53.

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Conference papers on the topic "Constrained Hamiltonian systems"

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Yoshimura, Hiroaki, and Kenji Soya. "On the Geometric Stabilization for Discrete Hamiltonian Systems With Holonomic Constraints." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86354.

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This paper develops a discrete Hamiltonian system with holonomic constraints with Geometric Constraint Stabilization. It is first shown that constrained mechanical systems with nonconservative external forces can be formulated by using canonical symplectic structures in the context of Hamiltonian systems. Second, it is shown that discrete holonomic Hamiltonian systems can be developed via the discretization based on the Backward Differentiation Formula and also that geometric constraint stabilization can be incorporated into the discrete Hamiltonian systems. It is demonstrated that the propose
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Gromov, Dmitry, Fetnando Castanos, and Alexander L. Fradkov. "PROJECTED DYNAMICS OF CONSTRAINED HAMILTONIAN SYSTEMS*." In 2018 17th European Control Conference (ECC). IEEE, 2018. http://dx.doi.org/10.23919/ecc.2018.8550130.

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Xin, Cai, Wang Yuzhen, and Sun Weiwei. "Stability and Control of a Class of Constrained Hamiltonian Systems." In 2007 Chinese Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/chicc.2006.4347531.

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Naudet, Joris, and Dirk Lefeber. "General Formulation of an Efficient Recursive Algorithm Based on Canonical Momenta for Forward Dynamics of Closed-Loop Multibody Systems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84917.

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In previous work, a method for establishing the equations of motion of open-loop multibody mechanisms was introduced. The proposed forward dynamics formulation resulted in a Hamiltonian set of 2n first order ODE’s in the generalized coordinates q and the canonical momenta p. These Hamiltonian equations were derived from a recursive Newton-Euler formulation. It was shown how an O(n) formulation could be obtained in the case of a serial structure with general joints. The amount of required arithmetical operations was considerably less than comparable acceleration based formulations. In this pape
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Yi, Daqing, Shushman Choudhury, and Siddhartha Srinivasa. "Incorporating qualitative information into quantitative estimation via Sequentially Constrained Hamiltonian Monte Carlo sampling." In 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2017. http://dx.doi.org/10.1109/iros.2017.8206336.

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Naudet, Joris, and Dirk Lefeber. "Recursive Algorithm Based on Canonical Momenta for Forward Dynamics of Multibody Systems: Numerical Results." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84915.

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In this paper, a recursive O(n) method to obtain a set of Hamiltonian equations for open-loop and constrained multibody system is briefly discussed. The method is then used to perform a numerical comparison of acceleration based and canonical momenta based equations of motion. A relatively simple example consisting of a biped during double support phase is used for that purpose. While no significant difference in efficiency is found when using a fixed step numerical integration method, the Hamiltonian equations perform considerably better when using an adaptive method. This is at least the cas
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Bayo, E., and J. M. Jimenez. "On the Use of the Canonical Equations of Motion for the Dynamic Analysis of Constrained Multibody Systems." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0406.

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Abstract We investigate in this paper the different approaches that can be derived from the use of the Hamiltonian or canonical equations of motion for constrained mechanical systems with the intention of responding to the question of whether the use of these equations leads to more efficient and stable numerical algorithms than those coming from acceleration based formalisms. In this process, we propose a new penalty based canonical description of the equations of motion of constrained mechanical systems. This technique leads to a reduced set of first order ordinary differential equations in
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Maschke, B. M. J., and A. J. van der Schaft. "Hamiltonian Systems, Pseudo-Poisson Brackets and Their Scattering Representation for Physical Systems." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8007.

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Abstract This paper is concerned with the definition of the geometric structure of Hamiltonian systems associated with energy–conserving systems in relation with an interconnection topology of their network model. It is also presented how the symplectic structure of standard Hamiltonian systems has to be extended to pseudo–Poisson tensors in order to cope with invariants, equilibria and constraints. Finally a scattering representation of these pseudo–Poisson tensors is defined.
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Hsiao, F. Y., and D. J. Scheeres. "Fundamental constraints on uncertainty evolution in Hamiltonian systems." In 2006 American Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/acc.2006.1657520.

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Kai, Tatsuya. "Derivation and analysis of nonholonomic Hamiltonian systems with affine constraints." In European Control Conference 2007 (ECC). IEEE, 2007. http://dx.doi.org/10.23919/ecc.2007.7069012.

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