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Journal articles on the topic 'Holonomics'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Zhang, Sheng, and Wenjing Huang. "Application of a Propeller-Based Air Propulsion System to the Land-Based Holonomic Vehicle." Applied Sciences 9, no. 21 (2019): 4657. http://dx.doi.org/10.3390/app9214657.

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Holonomic vehicles with wheels such as ball wheels can move in any direction without rotating. For such a system, more driving motors and precise transmission mechanisms are necessary, which makes the control and fabrication complicated. This paper aims to present the design and construction of a novel holonomic mechanism to simplify the system. Air-based propulsion was applied to a land-based holonomic vehicle. A prototype with three roller balls was developed with a propeller for the propulsion of a triangular holonomic vehicle. Only two motors were applied, one for propeller rotation and th

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12

Saefudin, Encu, Noviyanti Nugraha, and Helsa Yuliyawati Yosman. "Rancang Bangun Omni Wheel Pada Forklift Automated Guided Vehicle." Jurnal Rekayasa Energi dan Mekanika 3, no. 1 (2023): 32. http://dx.doi.org/10.26760/jrem.v3i1.32.

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ABSTRAK Perkembangan Forklift saat ini dilengkapi dengan Automated Guided Vehicle (AGV) merupakan suatu alat angkut otomatis yang dapat berjalan di sepanjang jalur yang telah ditentukan. AGV dikontrol oleh kombinasi perangkat lunak berbasis sensor, sebagai dampak dari revolusi industri 4.0. Secara umum, forklift Automated Guided Vehicle (AGV) menggunakan roda standar untuk bergerak secara non-holonomik. Pada jenis model ini, gerakannya terbatas dan hanya dapat bergerak dalam beberapa arah yang telah ditentukan sebelumnya. Meskipun dapat mencapai setiap lokasi di dalam ruangan, namun membutuhka

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13

Agrawal, S. K. "Multibody Dynamics: A Formulation Using Kane’s Method and Dual Vectors." Journal of Mechanical Design 115, no. 4 (1993): 833–38. http://dx.doi.org/10.1115/1.2919276.

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This paper proposes a formulation based on Kane’s method to form the dynamic equations of motion of multibody systems using dual vectors. Both holonomic and nonholonomic systems are considered in this formulation. An example of a holonomic and a nonholonomic system is worked out in detail using this formulation. This algorithm is shown to be advantageous for a class of holonomic systems which has cylindrical joints.

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14

VACARU, SERGIU I. "TWO-CONNECTION RENORMALIZATION AND NON-HOLONOMIC GAUGE MODELS OF EINSTEIN GRAVITY." International Journal of Geometric Methods in Modern Physics 07, no. 05 (2010): 713–44. http://dx.doi.org/10.1142/s0219887810004531.

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A new framework for perturbative quantum gravity is proposed following the geometry of non-holonomic distributions on (pseudo)Riemannian manifolds. There are considered such distributions and adap-ted connections, also completely defined by a metric structure, when gravitational models with infinite many couplings reduce to two-loop renormalizable effective actions. We use a key result from our partner work arXiv: 0902.0911 that the classical Einstein gravity theory can be reformulated equivalently as a non-holonomic gauge model in the bundle of affine/de Sitter frames on pseudo-Riemannian spa

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15

LAHIRI, AMITABHA. "SURFACE HOLONOMY AND GAUGE 2-GROUP." International Journal of Geometric Methods in Modern Physics 01, no. 04 (2004): 299–309. http://dx.doi.org/10.1142/s0219887804000186.

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Just as point objects are parallel transported along curves, giving holonomies, string-like objects are parallel transported along surfaces, giving surface holonomies. The composition of these surfaces correspond to products in a category theoretic generalization of the gauge group, called a 2-group. I consider two different ways of constructing surface holonomies, one by using a pair of one- and two-form connections, and another by using a pair of one-form connections. Both procedures result in the structure of a 2-group.

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16

Jiménez, Víctor Manuel, Manuel de León, and Marcelo Epstein. "Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media." International Journal of Geometric Methods in Modern Physics 15, no. 08 (2018): 1830003. http://dx.doi.org/10.1142/s0219887818300039.

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A Lie groupoid, called second-order non-holonomic material Lie groupoid, is associated in a natural way to any Cosserat medium. This groupoid is used to give a new definition of homogeneity which does not depend on a material archetype. The corresponding Lie algebroid, called second-order non-holonomic material Lie algebroid, is used to characterize the homogeneity property of the material. We also relate these results with the previously obtained ones in terms of non-holonomic second-order [Formula: see text]-structures.

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17

Asadov, Hikmat, Sevindj Abdullayeva, and Ulviya Tarverdiyeva. "Questions on Optimization of Izomorphic-Holonomic Information-Measuring Systems." Известия высших учебных заведений. Электромеханика 63, no. 6 (2020): 51–56. http://dx.doi.org/10.17213/0136-3360-2020-6-51-56.

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Questions on optimization of isomorphic-holonomic information –measuring systems, characterized by in-ternal holomorphic relation are considered. It is shown that isomorphic-holonomic property of information measuring and mechatronic systems make it possible to carry out optimization of them transforming of this task to Lagrange task where the target functional (Lagrange functional) is sum of initial target functional and integral of function of holonomic relation function with limitation imposed on it multiplied by Lagrange multi-plier. It is proved that if searched for function of holonomic

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18

Arvesú, Jorge, та Anier Soria-Lorente. "On Infinitely Many Rational Approximants to ζ(3)". Mathematics 7, № 12 (2019): 1176. http://dx.doi.org/10.3390/math7121176.

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A set of second order holonomic difference equations was deduced from a set of simultaneous rational approximation problems. Some orthogonal forms involved in the approximation were used to compute the Casorati determinants for its linearly independent solutions. These solutions constitute the numerator and denominator sequences of rational approximants to ζ ( 3 ) . A correspondence from the set of parameters involved in the holonomic difference equation to the set of holonomic bi-sequences formed by these numerators and denominators appears. Infinitely many rational approximants can be genera

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19

Raskin, Sam. "A generalization of the b-function lemma." Compositio Mathematica 157, no. 10 (2021): 2199–214. http://dx.doi.org/10.1112/s0010437x21007491.

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We establish some cohomological bounds in $D$ -module theory that are known in the holonomic case and folklore in general. The method rests on a generalization of the $b$ -function lemma for non-holonomic $D$ -modules.

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20

Ekholm, Tobias, and Maxime Wolff. "Framed holonomic knots." Algebraic & Geometric Topology 2, no. 1 (2002): 449–63. http://dx.doi.org/10.2140/agt.2002.2.449.

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21

Cortés, J., and S. Martínez. "Non-holonomic integrators." Nonlinearity 14, no. 5 (2001): 1365–92. http://dx.doi.org/10.1088/0951-7715/14/5/322.

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22

Zanardi, Paolo, and Mario Rasetti. "Holonomic quantum computation." Physics Letters A 264, no. 2-3 (1999): 94–99. http://dx.doi.org/10.1016/s0375-9601(99)00803-8.

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23

Pribram, Karl. "Holonomic brain theory." Scholarpedia 2, no. 5 (2007): 2735. http://dx.doi.org/10.4249/scholarpedia.2735.

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24

Coll, Bartolom�, and Joan Josep Ferrando. "Relativistic holonomic fluids." General Relativity and Gravitation 21, no. 11 (1989): 1159–70. http://dx.doi.org/10.1007/bf00763459.

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25

EL-Nabulsi, Ahmad Rami. "Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems." Chaos, Solitons & Fractals 42, no. 1 (2009): 52–61. http://dx.doi.org/10.1016/j.chaos.2008.10.022.

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26

Kock, Anders. "Combinatorics of non-holonomous jets." Czechoslovak Mathematical Journal 35, no. 3 (1985): 419–28. http://dx.doi.org/10.21136/cmj.1985.102032.

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27

Wang, Jian, Ting Wang, Chen Yao, Xiaofan Li, and Chengdong Wu. "Active Tension Control for WT Wheelchair Robot by Using a Novel Control Law for Holonomic or Nonholonomic Systems." Mathematical Problems in Engineering 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/236515.

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Interactional characteristics between WT wheelchair robot and stair environment are analyzed, and possible patterns of WT wheelchair robot during the stair-climbing process are summarized, with the criteria of the wheelchair robot for determining the pattern proposed. Aiming at WT wheelchair robot's complicated mechanism with holonomic constraints and combined with the computed torque method, a novel control law that is called active tension control is presented for holonomic or nonholonomic robotic systems, by which the wheelchair robot with a holonomic or nonholonomic mechanism can track the

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Bhattacharyya, Shaman, and Somnath Bhattacharyya. "Demonstration of the Holonomically Controlled Non-Abelian Geometric Phase in a Three-Qubit System of a Nitrogen Vacancy Center." Entropy 24, no. 11 (2022): 1593. http://dx.doi.org/10.3390/e24111593.

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The holonomic approach to controlling (nitrogen-vacancy) NV-center qubits provides an elegant way of theoretically devising universal quantum gates that operate on qubits via calculable microwave pulses. There is, however, a lack of simulated results from the theory of holonomic control of quantum registers with more than two qubits describing the transition between the dark states. Considering this, we have been experimenting with the IBM Quantum Experience technology to determine the capabilities of simulating holonomic control of NV-centers for three qubits describing an eight-level system

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CHAIDIR, ALI RIZAL, KHAIRUL ANAM, and GAMMA ADITYA RAHARDI. "Lane Tracking pada Robot Beroda Holonomic menggunakan Pengolahan Citra." ELKOMIKA: Jurnal Teknik Energi Elektrik, Teknik Telekomunikasi, & Teknik Elektronika 8, no. 1 (2020): 69. http://dx.doi.org/10.26760/elkomika.v8i1.69.

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ABSTRAK  Robot merupakan teknologi yang dapat diterapkan bidang pertanian dan industri. Salah satu teknik navigasi robot yang dapat diterapkan di bidang pertanian dan industri adalah lane tracking. Untuk bernavigasi robot membutuhkan sebuah alat untuk mengenali lingkungannya, alat tersebut dapat berupa sensor atau kamera. Salah satu kelebihan menggunakan kamera jika dibandingkan dengan sensor adalah dapat mengurangi penggunaan perangkat keras untuk mengenali lingkungan robot. Fokus utama penelitian ini adalah membuat robot beroda holonomic untuk bernavigasi di antara dua garis yang

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30

Zhang, Yao Yu, Xian Ting Sun, Xi Chang Xue, and Li Qun Jia. "Conformal Invariance and Conserved Quantity of Mei Symmetry for Appell Equations in a Holonomic System with Mass Variable." Applied Mechanics and Materials 670-671 (October 2014): 617–25. http://dx.doi.org/10.4028/www.scientific.net/amm.670-671.617.

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For a holonomic system with variable mass, the conformal invariance and the conserved quantity of Mei symmetry of Appell equations are investigated. First, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, the Mei symmetry and the conformal invariance of differential equations of motion for Appell equations in a holonomic system with variable mass are defined, and the determining equation of Mei symmetry and conformal invariance for Appell equations in a holonomic system with variable mass are given. Then, the Mei-conserved quantity corresponding t

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31

ANGELES, J., and SANGKOO LEE. "THE MODELLING OF HOLONOMIC MECHANICAL SYSTEMS USING A NATURAL ORTHOGONAL COMPLEMENT." Transactions of the Canadian Society for Mechanical Engineering 13, no. 4 (1989): 81–89. http://dx.doi.org/10.1139/tcsme-1989-0014.

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A computationally efficient and systematic algorithm for the modelling of constrained mechanical systems is developed and implemented in this paper. With this algorithm, the governing equations of mechanical systems comprised of rigid bodies coupled by holonomic constraints are derived by means of an orthogonal complement of the matrix of the velocity-constraint equations. The procedure is applicable to all types of holonomic mechanical systems, and it can be extended to cases including simple nonholonomic constraints. Holonomic mechanical systems having a simple Kinematic-chain structure, suc

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32

Hu, Yong, and Zhiyun Lin. "Balance control of planar biped robots using virtual holonomic constraints." Robotica 34, no. 6 (2014): 1227–42. http://dx.doi.org/10.1017/s0263574714002215.

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SUMMARYThe balance control problem of planar bipedal robots during disturbed standing is investigated. Virtual holonomic constraints which specify the angles of actuated joints as a function of the rotation angle between the sole of the stance foot and the ground are recalled. These constraints enable the robot to avoid turnover during external disturbances similar to how a human being would react. Moreover, for a disturbance beyond the balance conditions for single-leg support, the robot changes to a double support posture to avoid turnover by the virtual holonomic constraints. Further, for a

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33

Cai, J. L., and F. X. Mei. "Conformal Invariance and Conserved Quantity of the Higher-Order Holonomic Systems by Lie Point Transformation." Journal of Mechanics 28, no. 3 (2012): 589–96. http://dx.doi.org/10.1017/jmech.2012.67.

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AbstractIn this paper, the conformal invariance and conserved quantities for higher-order holonomic systems are studied. Firstly, by establishing the differential equation of motion for the systems and introducing a one-parameter infinitesimal transformation group together with its infinitesimal generator vector, the determining equation of conformal invariance for the systems are provided, and the conformal factors expression are deduced. Secondly, the relation between conformal invariance and the Lie symmetry by the infinitesimal one-parameter point transformation group for the higher-order

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34

Ito, Yohei, and Kiyoshi Takeuchi. "On Some Topological Properties of Fourier Transforms of Regular Holonomic -Modules." Canadian Mathematical Bulletin 63, no. 2 (2020): 454–68. http://dx.doi.org/10.4153/s0008439519000559.

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AbstractWe study Fourier transforms of regular holonomic ${\mathcal{D}}$-modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic ${\mathcal{D}}$-modules will be given. Moreover, we give a new proof of the classical theorem of Brylinski and improve it by showing its converse.

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35

Dowell, Earl. "Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints." Nonlinear Dynamics 88, no. 2 (2016): 1093–97. http://dx.doi.org/10.1007/s11071-016-3297-9.

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36

Xidias, Elias K., Philip N. Azariadis, and Nikos A. Aspragathos. "Path Planning of Holonomic and Non-Holonomic Robots Using Bump-Surfaces." Computer-Aided Design and Applications 5, no. 1-4 (2008): 497–507. http://dx.doi.org/10.3722/cadaps.2008.497-507.

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37

Chi, Quo-Shin, Sergey Merkulov, and Lorenz Schwachhöfer. "Exotic Holonomies ${\rm E}^{(a)}_7$." International Journal of Mathematics 08, no. 05 (1997): 583–94. http://dx.doi.org/10.1142/s0129167x97000305.

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It is proved that the Lie groups [Formula: see text] and [Formula: see text] represented in ℝ56 and the Lie group [Formula: see text] represented in ℝ112 occur as holonomies of torsion-free affine connections. It is also shown that the moduli spaces of torsion-free affine connections with these holonomies are finite dimensional, and that every such connection has a local symmetry group of positive dimension.

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Prykarpatskyy, Yarema A. "Integrability of Riemann-Type Hydrodynamical Systems and Dubrovin’s Integrability Classification of Perturbed KdV-Type Equations." Symmetry 13, no. 6 (2021): 1077. http://dx.doi.org/10.3390/sym13061077.

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Dubrovin’s work on the classification of perturbed KdV-type equations is reanalyzed in detail via the gradient-holonomic integrability scheme, which was devised and developed jointly with Maxim Pavlov and collaborators some time ago. As a consequence of the reanalysis, one can show that Dubrovin’s criterion inherits important parts of the gradient-holonomic scheme properties, especially the necessary condition of suitably ordered reduction expansions with certain types of polynomial coefficients. In addition, we also analyze a special case of a new infinite hierarchy of Riemann-type hydrodynam

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39

Alfaro, J., H. A. Morales-Técotl, M. Reyes, and L. F. Urrutia. "On non-Abelian holonomies." Journal of Physics A: Mathematical and General 36, no. 48 (2003): 12097–107. http://dx.doi.org/10.1088/0305-4470/36/48/012.

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40

Kalkkinen, J. "Holonomies of intersecting branes." Fortschritte der Physik 53, no. 7-8 (2005): 913–18. http://dx.doi.org/10.1002/prop.200410240.

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41

Lemos, Nivaldo A. "Breakdown of the connection between symmetries and conservation laws for semiholonomic systems." American Journal of Physics 90, no. 3 (2022): 221–24. http://dx.doi.org/10.1119/5.0067183.

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Integrable velocity-dependent constraints are said to be semiholonomic. For good reasons, holonomic and semiholonomic constraints are thought to be indistinguishable in Lagrangian mechanics. This well-founded belief notwithstanding, here we show by means of an example and a broad analysis that the connection between symmetries and conservation laws, which holds for holonomic systems, is not valid in general for systems subject to semiholonomic constraints.

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BERTONI, A., and P. MASSAZZA. "A PARALLEL ALGORITHM FOR THE HADAMARD PRODUCT OF HOLONOMIC FORMAL SERIES." International Journal of Algebra and Computation 04, no. 04 (1994): 561–73. http://dx.doi.org/10.1142/s0218196794000154.

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In this work we consider the class of the holonomic formal series and we study how, given two linear differential equations with polynomial coefficients verified by two holonomic series Φ1 and Φ2, it is possible to compute a linear differential equation satisfied by the Hadamard product of Φ1 and Φ2. We give a parallel algorithm for this problem and we show that it belongs to NC 2.

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Li, Liang, Renhao Zhao, and Chunlei Li. "Path Planning for Chainable Non-holonomic System Based on Iterative Learning Control." Journal Européen des Systèmes Automatisés 53, no. 5 (2020): 747–53. http://dx.doi.org/10.18280/jesa.530518.

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Non-holonomic path planning is to solve the two point boundary value problem under constraints. Since it is offline and open-loop, the path planning cannot compensate for the disturbances and eliminate the errors. To solve the problems, this paper puts forward an iterative learning control algorithm that adjusts the control parameters of the path planner online through the multiple iterative computations of the target configuration error equation, under the initial configuration error and model error, and thus enhancing the accuracy of non-holonomic system path planning. Then, a simulation exp

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44

Zhao, Yating, Xiaolong Chen, and Han Zhao. "Robust control design for home pension service mobile robots with passive and servo constraints." Science Progress 103, no. 3 (2020): 003685042095221. http://dx.doi.org/10.1177/0036850420952219.

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This paper presents a novel robust control design for a class of home pension service mobile robots (HPSMRs) with non-holonomic passive constraints, based on the Udwadia-Kalaba theory and Udwadia control. The approach has two portions: dynamics modeling and robust control design. The Udwadia-Kalaba theory is employed to deal with the non-holonomic passive constraints. The frame of the Udwadia control is employed to design the robust control to tracking the servo constraints. The designed approach is easy to implement because the analytical solution of the control force can explicitly be obtain

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KOILLER, JAIR, PAULO R. RODRIGUES, and PAULO PITANGA. "Non-holonomic connections following Élie Cartan." Anais da Academia Brasileira de Ciências 73, no. 2 (2001): 165–90. http://dx.doi.org/10.1590/s0001-37652001000200003.

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In this note we revisit E. Cartan's address at the 1928 International Congress of Mathematicians at Bologna, Italy. The distributions considered here will be of the same class as those considered by Cartan, a special type which we call strongly or maximally non-holonomic. We set up the groundwork for using Cartan's method of equivalence (a powerful tool for obtaining invariants associated to geometrical objects), to more general non-holonomic distributions.

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Arimoto, Suguru, Morio Yoshida, Masahiro Sekimoto, and Kenji Tahara. "A Riemannian-Geometry Approach for Modeling and Control of Dynamics of Object Manipulation under Constraints." Journal of Robotics 2009 (2009): 1–16. http://dx.doi.org/10.1155/2009/892801.

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A Riemannian-geometry approach for modeling and control of dynamics of object manipulation under holonomic or non-holonomic constraints is presented. First, position/force hybrid control of an endeffector of a multijoint redundant (or nonredundant) robot under a holonomic constraint is reinterpreted in terms of “submersion” in Riemannian geometry. A force control signal constructed in the image space of the constraint gradient is regarded as a lifting (or pressing) in the direction orthogonal to the kernel space. By means of the Riemannian distance on the constraint submanifold, stability of p

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Niskanen, A. O., M. Nakahara, and M. M. Salomaa. "Optimal holonomic quantum gates." Quantum Information and Computation 2, Special (2002): 560–77. http://dx.doi.org/10.26421/qic2.s-6.

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We study the construction of holonomy loops numerically in a realization-independent model of holonomic quantum computation. The aim is twofold. First, we present our technique of finding the suitable loop in the control manifold for any one-qubit and two-qubit unitary gates. Second, we develop the formalism further and add a penalty term for the length of the loop, thereby aiming to minimize the execution time for the quantum computation. Our method provides a general means by which holonomy loops can be realized in an experimental setup. Since holonomic quantum computation is adiabatic, opti

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Chen, Xudong, Mohamed-Ali Belabbas, and Ji Liu. "Gossip over holonomic graphs." Automatica 136 (February 2022): 110088. http://dx.doi.org/10.1016/j.automatica.2021.110088.

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Koutschan, Christoph. "Holonomic functions in mathematica." ACM Communications in Computer Algebra 47, no. 3/4 (2014): 179–82. http://dx.doi.org/10.1145/2576802.2576831.

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Koepf, Wolfram, Predrag M. Rajković, and Sladjana D. Marinković. "Properties ofq-holonomic functions." Journal of Difference Equations and Applications 13, no. 7 (2007): 621–38. http://dx.doi.org/10.1080/10236190701264925.

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