Relevant bibliographies by topics / Holonomics

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

Academic literature on the topic 'Holonomics'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Holonomics"

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Somoza-Norton, Andrea, Simon Robinson, and Maria Moraes Robinson. "Integration of Holonomic Thinking in Educational Leader-ship Development Courses." Journal of Management Science and Business Intelligence 2, no. 1 (2017): 1–8. https://doi.org/10.5281/zenodo.581690.

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Educational leaders are prime observers of their school performance and progress. As leaders and active participants in the steps towards school improvement, they must take into consideration diverse stakeholders’ opinions, ideas and beliefs, and technical aspects such as data analysis while engaging in the decision-making process. This practice can be enhanced by considering the circumstances and all stakeholders involved from a holonomic viewpoint rather than an egocentric viewpoint. This article explores the holonomic conceptual platform and its strategies as a conduit to broaden emergent s
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PACHOS, JIANNIS, and PAOLO ZANARDI. "QUANTUM HOLONOMIES FOR QUANTUM COMPUTING." International Journal of Modern Physics B 15, no. 09 (2001): 1257–85. http://dx.doi.org/10.1142/s0217979201004836.

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Holonomic Quantum Computation (HQC) is an all-geometrical approach to quantum information processing. In the HQC strategy information is encoded in degenerate eigen-spaces of a parametric family of Hamiltonians. The computational network of unitary quantum gates is realized by driving adiabatically the Hamiltonian parameters along loops in a control manifold. By properly designing such loops the nontrivial curvature of the underlying bundle geometry gives rise to unitary transformations i.e., holonomies that implement the desired unitary transformations. Conditions necessary for universal QC a
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Güngördü, Utkan, Yidun Wan, and Mikio Nakahara. "Non-Adiabatic Universal Holonomic Quantum Gates Based on Abelian Holonomies." Journal of the Physical Society of Japan 83, no. 3 (2014): 034001. http://dx.doi.org/10.7566/jpsj.83.034001.

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Ariska, Melly, Hamdi Akhsan, and Muhammad Muslim. "PEMODELAN DINAMIKA TIPPE TOP (TT) DENGAN KENDALA NON-HOLONOMIK BERBASIS KOMPUTASI FISIKA PADA BIDANG DATAR (R^2×SO(3))." JOURNAL ONLINE OF PHYSICS 7, no. 1 (2021): 20–25. http://dx.doi.org/10.22437/jop.v7i1.14457.

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Pemodelan sistem dinamik dalam real time sangat penting dalam kemajuan teknologi otomatis yang berkembang pesat saat ini, seperti metode perencanaan sistem robotic. Artikel ini menjelaskan sistem dinamik benda tegar dengan kendala non-holonomic pada ruang konfigurasi . Metode yang digunakan adalah Motion Planning Network dan simulasi numeric dengan komputasi fisika yang dapat digunakan untuk sistem benda non-holonomik yang bergerak secara real-time dengan Pendekatan Jellet Invarian (JI). Pendekatan JI dapat menghasilkan persamaan sistem gerak dan mengevaluasi simulasi model benda dengan kendal
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RADWAN, ABD EL AZIZ A., and SALAH EL DIN S. HUSSEIN. "HOLONOMIC FILTERED MODULES IN THE CATEGORY OF MICRO-STRUCTURE SHEAVES." Tamkang Journal of Mathematics 27, no. 4 (2020): 337–42. http://dx.doi.org/10.5556/j.tkjm.27.1996.3963.

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 Since the late sixties, Various Auslander regularity conditions have been widely investigated in both commutative and non-commutative cases, [6]. J. E. Bjork studied the Auslander regularity on graded rings and positively filtered Noetherian Noetherian rings, [7]. In [7] the notion of a holonomic module over positively filtered rings has been introduced. Recently, Huishi, in his Ph. D. Thesis [12], investigate Auslander regularity condition and holonomity of graded and filtered modules over Zariski filtered rings. 
 In this work, using the micro-structure sheaf techni
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Birman, Joan S., and Nancy C. Wrinkle. "Holonomic and Legendrian parametrizations of knots." Journal of Knot Theory and Its Ramifications 09, no. 03 (2000): 293–309. http://dx.doi.org/10.1142/s0218216500000141.

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Holonomic parametrizations of knots were introduced in 1997 by Vassiliev, who proved that every knot type can be given a holonomic parametrization. Our main result is that any two holonomic knots which represent the same knot type are isotopic in the space of holonomic knots. A second result emerges through the techniques used to prove the main result: strong and unexpected connections between the topology of knots and the algebraic solution to the conjugacy problem in the braid groups, via the work of Garside. We also discuss related parametrizations of Legendrian knots, and uncover connectio
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Carvalho, B., and E. Rego. "Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms." Nonlinearity 37, no. 9 (2024): 095004. http://dx.doi.org/10.1088/1361-6544/ad6056.

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Abstract We discuss different regularities on stable/unstable holonomies of cw-hyperbolic homeomorphisms and prove that if a cw-hyperbolic homeomorphism has continuous joint stable/unstable holonomies, then it has a dense set of periodic points in its non-wandering set. For that, we prove that the hyperbolic cw-metric (introduced in Artigue et al (2024 J. Differ. Equ. 378 512–38)) can be adapted to be self-similar (as in Artigue (2018 Ergodic Theory Dyn. Syst. 38 2422–46)) and, in this case, continuous joint stable/unstable holonomies are pseudo-isometric. We also prove transitivity of cw-hype
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Tavares, J. N. "Generalized holonomies." Journal of Geometry and Physics 26, no. 3-4 (1998): 311–28. http://dx.doi.org/10.1016/s0393-0440(97)00061-2.

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MARTÍN MÉNDEZ, A. "CANONICAL FORM IN SECOND-ORDER FRAME BUNDLES IN A NATURAL WAY." International Journal of Mathematics 25, no. 01 (2014): 1450009. http://dx.doi.org/10.1142/s0129167x14500098.

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Using horizontal n-bases of the tangent bundle of the linear frame bundle [Formula: see text] of an n-dimensional manifold M, the canonical form in the non-holonomic second-order frame bundle of M is introduced as a restriction of the canonical form of the bundle [Formula: see text]. This construction generalizes the ones in the corresponding semi-holonomic and holonomic second-order frame bundles. We prove that the natural projection of the set of all non-holonomic second-order frames of M into [Formula: see text] defines a principal bundle structure.
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Vassiliev, Victor A. "Holonomic Links and Smale Principles for Multisingularities." Journal of Knot Theory and Its Ramifications 06, no. 01 (1997): 115–23. http://dx.doi.org/10.1142/s0218216597000108.

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A loop S1 → ℝn is holonomic if it is the (n - 1)-jet extension of a function S1 → ℝ1. We prove that for n = 3 any tame link in ℝn is isotopy equivalent to a holonomic one; for n > 3 the space of holonomic links is holotopy equivalent to the space of all differentiable links.
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Dissertations / Theses on the topic "Holonomics"

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Flygare, Mattias. "Holonomic versus nonholonomic constraints." Thesis, Karlstads universitet, Avdelningen för fysik och elektroteknik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-13378.

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Courses in analytical mechanics for undergraduate students are often limited to treatment of holonomic constraints, which are constraints on coordinates. The concept of nonholonomic constraints, constraints on velocities, is usually only mentioned briefly and it is easy to get a wrongful idea of what they are and how to treat them. This text explains and compares the methods of deriving the Euler-Lagrange equations and the consequences when imposing different kinds of constraints. One way to properly treat both holonomic and nonholonomic constraints is given, pinpointing the difficulties and c
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Moreno, Blanc Javier. "Improvement of the implementation of an Assistant Personal Robot." Doctoral thesis, Universitat de Lleida, 2017. http://hdl.handle.net/10803/457621.

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Aquesta memòria presenta la investigació realitzada amb l'objectiu de millorar la implementació d'un Assistent Personal Robòtic (APR) basat en un robot mòbil per aplicacions en entorns domèstics. Aquesta implementació de noves tecnologies robòtiques ha permès el desenvolupament de noves aplicacions d'assistència personal contribuin a millorar la qualitat de vida de les persones. La primera part de la memòria es centra en el desenvolupament mecànic, consistent en un sistema de mobilitat holonómic basat en l'ús de tres rodes omnidireccionals desfasades 120º. Per l´objectiu de la millora sobre
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Yuan, Hongliang. "Control of NonH=holonomic Systems." Doctoral diss., University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2751.

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Many real-world electrical and mechanical systems have velocity-dependent constraints in their dynamic models. For example, car-like robots, unmanned aerial vehicles, autonomous underwater vehicles and hopping robots, etc. Most of these systems can be transformed into a chained form, which is considered as a canonical form of these nonholonomic systems. Hence, study of chained systems ensure their wide applicability. This thesis studied the problem of continuous feed-back control of the chained systems while pursuing inverse optimality and exponential convergence rates, as well as the feed-bac
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Mommers, Cornelis Johannes Gerardus. "Universal Quantum Computation Using Discrete Holonomies." Thesis, Uppsala universitet, Materialteori, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-444209.

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Aguirre, Sergio Julio Chion. "Teorema de holonomia normal." Universidade Federal de São Carlos, 2013. https://repositorio.ufscar.br/handle/ufscar/5896.

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Made available in DSpace on 2016-06-02T20:28:28Z (GMT). No. of bitstreams: 1 5611.pdf: 719770 bytes, checksum: 86c089b56af72cff83b5e7b8455ce765 (MD5) Previous issue date: 2013-08-30<br>Financiadora de Estudos e Projetos<br>In this work we will introduce the concept of normal holonomy and restricted normal holonomy of a riemannian submanifold. They are subgroups of the orthogonal matrices that are realized from parallel translating normal vectors, along loops and null-homotopic loops respectively, using the normal connection. We will proof that the restricted normal holonomy is a Lie subgroup
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Ortiz, Morales Daniel. "Virtual Holonomic Constraints: from academic to industrial applications." Doctoral thesis, Umeå universitet, Institutionen för tillämpad fysik och elektronik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-87707.

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Whether it is a car, a mobile phone, or a computer, we are noticing how automation and production with robots plays an important role in the industry of our modern world. We find it in factories, manufacturing products, automotive cruise control, construction equipment, autopilot on airplanes, and countless other industrial applications.         Automation technology can vary greatly depending on the field of application. On one end, we have systems that are operated by the user and rely fully on human ability. Examples of these are heavy-mobile equipment, remote controlled systems, helicopter
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Gu, Wenjiong. "Holonomic Elastoplastic Truss Design Using Displacement Based Optimization." Thesis, Virginia Tech, 2000. http://hdl.handle.net/10919/35508.

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A Displacement Based Optimization (DBO) approach was applied to truss design problems with material nonlinearities, to explore feasibility and verify efficiency of the approach to solve such problem. Various truss sizing problems with holonomic (path-independent) elastoplastic laws were investigated. This type of material nonlinearity allows us to naturally extend the linear elastic truss sizing in the DBO setting to nonlinear problems. A computer program that uses the commercially available optimizer DOT by VR&D and IMSL Linear Programming solver by Visual Numerics was developed to solve t
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Chyzak, Frédéric. "Fonctions holonomes en calcul formel." Phd thesis, Ecole Polytechnique X, 1998. http://tel.archives-ouvertes.fr/tel-00991717.

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Cette thèse montre comment le calcul formel permet la manipulation d'une grande classe de suites et fonctions solutions d'opérateurs linéaires, la classe des fonctions holonomes. Celle-ci contient de nombreuses fonctions spéciales, en une ou plusieurs variables, et de nom- breuses suites de la combinatoire. Un cadre théorique est tout d'abord introduit pour algorith- miser les propriétés de clôture de la classe holonome, pour y permettre un test à zéro et pour unifier les calculs différentiels sur les fonctions et les calculs de récurrences sur les suites. Ces méthodes s'appuient sur des calcu
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Krantz, Thomas. "Holonomie des connexions sans torsion." Nancy 1, 2007. http://docnum.univ-lorraine.fr/public/SCD_T_2007_0030_KRANTZ.pdf.

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Dans une premier temps nous étudions les représentations de dimension finie des algèbres de Lie en rapport avec le treillis des sous-représentations. Nous considérons le cas où la représentation laisse invariant deux paires de sous-espaces supplémentaires. Nous montrons que la représentation peut être décomposée dans ce cas en une somme de trois sous-représentations canoniques que nous caractérisons. Nous précisons les résultats dans le cas d'une représentation préservant deux sous-espaces supplémentaires et une forme réflexive, et aussi dans le cas métrique. Dans une deuxième partie géométriq
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Loray, Frank. "Feuilletages holomorphes à holonomie résoluble." Rennes 1, 1994. http://www.theses.fr/1994REN10023.

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Lorsqu'une singularite de feuilletage holomorphe admet une integrale premiere holomorphe ou multiforme liouvillienne, le groupe d'holonomie projective est abelien. Ce travail est une approche des singularites moins connues dont le groupe d'holonomie est resoluble. On y donne des criteres de resolubilite et des resultats de classification analytique pour les groupes de germes de diffeomorphismes dans le plan complexe. Nous en deduisons la classification analytique des singularites de feuilletages dont l'unique feuille analytique est un cusp puis nous montrons leur rigidite topologique. En decri
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Books on the topic "Holonomics"

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Soltakhanov, Shervani Kh, Mikhail P. Yushkov, and Sergei A. Zegzhda. Mechanics of non-holonomic systems. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85847-8.

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Claude, Sabbah, and C.I.M.P.A. (Center), eds. D-modules cohérents et holonomes. Hermann, 1993.

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Schäfer, Lars. Nearly Pseudo-Kähler Manifolds and Related Special Holonomies. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65807-0.

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Conference on Geometric Control and Non-holonomic Mechanics (1996 Mexico City, Mexico). Geometric control and non-holonomic mechanics: Conference on Geometric Control and Non-holonomic Mechanics, June 19-21, 1996, Mexico City. Edited by Jurdjevic Velimir and Sharpe R. W. American Mathematical Society, 1998.

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Gurvis, L. Smooth time-periodic feedback solutions for non-holonomic motion planning. Courant Institute of Mathematical Sciences, New York University, 1992.

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Perus, Mitja. Biological and quantum computing for human vision: Holonomic models and applications. Medical Information Science Reference, 2011.

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Kiong, Loo Chu. Biological and quantum computing for human vision: Holonomic models and applications. Medical Information Science Reference, 2011.

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Saito, Mutsumi. Gröbner deformations of hypergeometric differential equations. Springer, 2000.

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Kumar, Satish, Simon Robinson, Maria Moraes Robinson, and Maria Moraes Robinson. Holonomics: Business Where People and Planet Matter. Floris Books, 2014.

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Heede, Patrick van den. Osteopathic Medicine: Holonomic Keys for Treatment. Urban & Fischer Verlag GmbH & Co. KG, 2017.

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Book chapters on the topic "Holonomics"

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Haraoka, Yoshishige. "Holonomic Systems." In Trends in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52842-7_2.

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Umerez, Jon, and Matteo Mossio. "Constraint, Holonomic." In Encyclopedia of Systems Biology. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_706.

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Eliashberg, Y., and N. Mishachev. "Holonomic approximation." In Graduate Studies in Mathematics. American Mathematical Society, 2002. http://dx.doi.org/10.1090/gsm/048/04.

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Soltakhanov, Shervani Kh, Mikhail P. Yushkov, and Sergei A. Zegzhda. "Holonomic Systems." In Foundations of Engineering Mechanics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85847-8_1.

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Kauers, Manuel. "The Holonomic Toolkit." In Texts & Monographs in Symbolic Computation. Springer Vienna, 2013. http://dx.doi.org/10.1007/978-3-7091-1616-6_5.

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Koepf, Wolfram. "Holonomic Recurrence Equations." In Hypergeometric Summation. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6464-7_4.

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Björk, Jan-Erik. "Holonomic D-modules." In Analytic D-Modules and Applications. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-0717-6_4.

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Koepf, Wolfram. "Holonomic Recurrence Equations." In Hypergeometric Summation. Vieweg+Teubner Verlag, 1998. http://dx.doi.org/10.1007/978-3-322-92918-1_5.

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Mackenzie, Kenneth D. "The Holonomic Cube." In The Organizational Hologram: The Effective Management of Organizational Change. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3917-5_14.

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Umerez, Jon, and Matteo Mossio. "Constraint, Non-holonomic." In Encyclopedia of Systems Biology. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_707.

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Conference papers on the topic "Holonomics"

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Mohan, Charanraj, Marco Crepaldi, and Alessandro Chiolerio. "Biomimetic holonomic systems for neuromorphic computing." In Biologically Inspired Materials, Processes, and Systems (BIMPS) 2025, edited by Akhlesh Lakhtakia, Raúl J. Martín-Palma, and Mato Knez. SPIE, 2025. https://doi.org/10.1117/12.3051442.

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Samsar, Younes, Aicha Guergazi, and Abderrazak Debilou. "Image-Based Ball Tracking Using a Holonomic Robot." In 2024 3rd International Conference on Advanced Electrical Engineering (ICAEE). IEEE, 2024. https://doi.org/10.1109/icaee61760.2024.10783259.

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Müller, Andreas. "A Proposal for a Unified Concept of Kinematic Singularities for Holonomic and Non-Holonomic Mechanisms." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70649.

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The study of mechanism singularities has traditionally focused on holonomic systems. On the other hand many robotic systems are characterized by non-holonomic constraints, such as mobile platforms and manipulators driven by non-holonomic joints, and a general concept of singularities seems in order. In this paper a possible generalization of the singularity concept is proposed that equally accounts for holonomic and non-holonomic kinematic systems. The central object is the associated kinematic control problem. Singularities are identified as those configurations where the iteration depth of L
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Brion, E., V. M. Akulin, D. Comparat, et al. "Non-Holonomic Control II: Non-Holonomic Quantum Devices." In Moscow, Russia, edited by Yuri I. Ozhigov. SPIE, 2005. http://dx.doi.org/10.1117/12.620313.

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Koganezawa, Koichi, and Kazuomi Kaneko. "A Method for Constraints Stabilization on Solving Multibody Dynamics." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21322.

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Abstract This paper deals with methods for solving the multibody dynamics with constraints. The problem is considered in the framework of solving the Lagrange multipliers in addition to the system coordinates in the differential and algebraic equation (DAE) governing the dynamics with holonomic or non-holonomic constraints. The proposed methods are originally based on Baumgarte’s work for the holonomic constraints but its extensions to the non-holonomic constraints. Conventionally the Lagrange multipliers are solved algebraically and substituted into the dynamic equations (DAE). This paper, on
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Georgiou, E., and J. Dai. "Lagrangian D’Alembert Modeled Maneuverable Autonomous Non-Holonomic Mobile Robot Using a Closed Loop PD Controller." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86969.

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The motivation for this work is to develop a platform for a self-localization device. Such a platform has many applications for the autonomous maneuverable non-holonomic mobile robot classification, which can be used for search and rescue or for inspection devices where the robot has a desired path to follow but because of an unknown terrain, the device requires the ability to make ad-hoc corrections to its movement to reach its desire path. The mobile robot is modeled using Lagrangian d’Alembert’s principle considering all the possible inertias and forces generated, and are controlled by rest
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Mu¨ller, Andreas. "On the Concept of Mobility Used in Robotics." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87524.

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This paper summarizes the concept of mobility used for holonomic and non-holonomic mechanisms. The mobility of mechanisms is considered from a geometric viewpoint starting with the variety generated by the constraint mapping as configuration space. While the local (finite) mobility is determined by the dimension of the configuration space, the differential mobility may be different. This is so for singular configurations, but also at regular configurations of underconstrained mechanisms. Overconstrained mechanisms are identified as those comprising manifolds of regular configurations that are
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Ellinas, Demosthenes, and Jiannis Pachos. "Optical Holonomic Quantum Computation." In International Conference on Quantum Information. OSA, 2001. http://dx.doi.org/10.1364/icqi.2001.pb15.

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Brion, E., V. M. Akulin, D. Comparat, et al. "Non-Holonomic Control I." In Moscow, Russia, edited by Yuri I. Ozhigov. SPIE, 2005. http://dx.doi.org/10.1117/12.620307.

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Temizer, Selim, and Leslie Pack Kaelbling. "Holonomic planar motion from non-holonomic driving mechanisms: the front-point method." In Intelligent Systems and Advanced Manufacturing, edited by Douglas W. Gage and Howie M. Choset. SPIE, 2002. http://dx.doi.org/10.1117/12.457456.

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Reports on the topic "Holonomics"

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McCullough, Dana. Empathy, holonomic brain processes and Patanjali's Sutras : a study of Western and Eastern models of perception as they relate to empathic communication. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.6087.

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