Relevant bibliographies by topics / Integrability condition

Academic literature on the topic 'Integrability condition'

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Published: 9 March 2023

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Journal articles on the topic "Integrability condition"

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Kevrekidis, P. G. "Integrability revisited: a necessary condition." Physics Letters A 285, no. 5-6 (July 2001): 383–89. http://dx.doi.org/10.1016/s0375-9601(01)00384-x.

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Okubo, Susumu, and Ashok Das. "The integrability condition for dynamical systems." Physics Letters B 209, no. 2-3 (August 1988): 311–14. http://dx.doi.org/10.1016/0370-2693(88)90952-5.

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Казанчян, Драстамат Хачатурович, and Виктор Макарович Круглов. "A new sufficient condition for uniform integrability of exponential local martingales." Herald of Tver State University. Series: Applied Mathematics, no. 3 (November 30, 2020): 5–13. http://dx.doi.org/10.26456/vtpmk596.

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В статье доказано новое достаточное условие для равномерной интегрируемости экспоненциальных локальных мартингалов. Условие сформулировано в терминах квадратической вариации локального мартингала. Оно обобщает ряд известных достаточных условий подобного рода. In the article it is suggested a new sufficient condition for uniform integrability of continues exponential local martingales. It is shown that the condition is much weaker then a number of known sufficient conditions for uniform integrability of exponential local martingales.
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Supriya Mukherjee et al.,, Supriya Mukherjee et al ,. "Chiellini Integrability Condition and New Integrable Systems." International Journal of Mathematics and Computer Applications Research 8, no. 2 (2018): 1–10. http://dx.doi.org/10.24247/ijmcarapr20181.

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Glushchenko, A. I., V. A. Petrov, and K. A. Lastochkin. "I-DREM: Relaxing the Square Integrability Condition." Automation and Remote Control 82, no. 7 (July 2021): 1233–47. http://dx.doi.org/10.1134/s0005117921070079.

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Kutyniok, Gitta. "The local integrability condition for wavelet frames." Journal of Geometric Analysis 16, no. 1 (March 2006): 155–66. http://dx.doi.org/10.1007/bf02930990.

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Okubo, Susumu. "Integrability condition and finite‐periodic Toda lattice." Journal of Mathematical Physics 31, no. 8 (August 1990): 1919–28. http://dx.doi.org/10.1063/1.528691.

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Fridli, S. "Hardy Spaces Generated by an Integrability Condition." Journal of Approximation Theory 113, no. 1 (November 2001): 91–109. http://dx.doi.org/10.1006/jath.2001.3614.

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Gashi, Bujar, and Jiajie Li. "Integrability of exponential process and its application to backward stochastic differential equations." IMA Journal of Management Mathematics 30, no. 4 (June 21, 2018): 335–65. http://dx.doi.org/10.1093/imaman/dpy008.

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Abstract We consider the integrability problem of an exponential process with unbounded coefficients. The integrability is established under weaker conditions of Kazamaki type, which complements the results of Yong obtained under a Novikov type condition. As applications, we consider the solvability of linear backward stochastic differential equations (BSDEs) and market completeness, the solvability of a Riccati BSDE and optimal investment, all in the setting of unbounded coefficients.
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Gumede, Sfundo C., Keshlan S. Govinder, and Sunil D. Maharaj. "First Integrals of Shear-Free Fluids and Complexity." Entropy 23, no. 11 (November 19, 2021): 1539. http://dx.doi.org/10.3390/e23111539.

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A single master equation governs the behaviour of shear-free neutral perfect fluid distributions arising in gravity theories. In this paper, we study the integrability of yxx=f(x)y2, find new solutions, and generate a new first integral. The first integral is subject to an integrability condition which is an integral equation which restricts the function f(x). We find that the integrability condition can be written as a third order differential equation whose solution can be expressed in terms of elementary functions and elliptic integrals. The solution of the integrability condition is generally given parametrically. A particular form of f(x)∼1x51−1x−15/7 which corresponds to repeated roots of a cubic equation is given explicitly, which is a new result. Our investigation demonstrates that complexity of a self-gravitating shear-free fluid is related to the existence of a first integral, and this may be extendable to general matter distributions.
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Dissertations / Theses on the topic "Integrability condition"

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Campana, Camilo. "Campos hipoelíticos no plano." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-19032013-094256/.

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Seja L um campo vetorial complexo não singular definido em um aberto do plano. Treves provou que se L é localmente resolúvel então L é localmente integrável. Para campos planares hipoelíticos, vale uma propriedade adicional, a saber, toda integral primeira (restrita a um aberto suficientemente pequeno) é uma aplicação injetiva (e aberta); isto, por sua vez, implica que toda solução da equação homogênea Lu = 0 é localmente da forma u = h 0 Z, com h holomorfa, sendo Z uma integral primeira do campo. O problema central de interesse desta dissertação é a questão global correspondente, ou seja, a exisatência de integrais primeiras globais injetoras e a representação dde soluções globais por composições da integral primeira com uma função holomorfa
Let L be a nonsingular complex vector field defined on an open subset of the plane. Treves proved that if L is locally solvable then L is locally integrable. For hypoelliptic planar vector fields an additional property holds, namely, every first integral (restricted to a sufficiently small open set) is an injective (and open) mapping; this, on its turn, implies that each solution of the homogeneous equation Lu = 0 is locally of the form u = h Z, where h is holomorphic and Z is a first integral of the vector eld. The central problem of interest in this work is the corresponding global question, that is, the existence of global, injective first integrals and the representation of global solutions as compositions of the first integral with a holomorphic function
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MAZZOLA, MARCO. "Properties of solutions to variational problems." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2010. http://hdl.handle.net/10281/18339.

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In the context of the variational problems related to integral functionals, we study some necessary conditions for a solution u without standard growth assumptions and strong differentiability conditions on the Lagrangian L. In particular, we investigate the validity of the Euler-Lagrange equation, in its classical and non-classical form, in the cases of functionals with non-differentiable convex Lagrangian or with super-exponential growth for L. Moreover, we investigate the regularity properties for minimizers, concerning higher integrability of the gradient as well as higher differentiability under general growth conditions and mild differentiability assumptions on L.
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Lesame, William Mphepeng. "A study of integrability conditions for irrotational dust spacetimes." Doctoral thesis, University of Cape Town, 1998. http://hdl.handle.net/11427/21328.

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Bibliography: pages 139-145.
This thesis examines consistency conditions for fluid solutions of the field equations of general relativity. The exact non-linear dynamic equations for a generic irrotational dust spacetime are consistent. To analyse conditions characterizing pure gravity waves, linearization instability in general relativity and consistency of the so-called "silent universes", further exact conditions are imposed locally on irrotational dust. These are classified into Class II conditions, which change evolution equations into constraint equations, and Class I and III conditions, which do not doso-rather they add a new constraint, leaving the propagation equations unchanged in form. Class I conditions are imposed on terms in the constraint equations, while Class II and III conditions are imposed on terms in the evolution equations. In the Class I case it is shown that for irrotational dust space times the divergence-free magnetic Weyl tensor and the divergence-free electric Weyl tensor (necessary conditions for gravity waves interacting with matter), both imply integrability conditions in the exact non-linear case. The integrability conditions for the divergence-free magnetic Weyl tensor are identically satisfied in the linearized perturbation case, but are non-trivial in the exact non-linear case. This leads to a linearization instability in these models. The integrability conditions for the divergence-free electric Weyltensor are non-trivial in both the linear and non-linear cases. The Class II case focuses on irrotational silent cosmological dust models characterized by vanishing magnetic Weyl tensor and vanishing electric Weyl tensor. In both these models there exist a series of integrability conditions that need to be satisfied. Integrability conditions for the zero magnetic Weyl tensor condition hold identically for linearized case, but are non-trivial in the exact non-linear case. Thus there is also a linearization instability. The zero electric Weyl tensor condition leads to a chain of non-trivial integrability conditions in both the linear and non-linear cases. Because of the complexity of the integrability conditions, it is highly unlikely that there is a large class of models in both the silent zero magnetic Weyl tensor case and the silent zero electric Weyl tensor case.
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ANSELLI, ANDREA. "PHI-CURVATURES, HARMONIC-EINSTEIN MANIFOLDS AND EINSTEIN-TYPE STRUCTURES." Doctoral thesis, Università degli Studi di Milano, 2020. http://hdl.handle.net/2434/703786.

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The aim of this thesis is to study the geometry of a Riemannian manifold M, with a special structure, called Einstein-type structure, depending on 3 real parameters, a smooth map phi into a target Riemannian manifold N, and a smooth function, called potential function, on M itself. We will occasionally let some of the parameters be smooth functions. The setting generalizes various previously studied situations:, Ricci solitons, almost Ricci-solitons, Ricci-harmonic solitons, quasi-Einstein manifolds and so on. By taking a constant potential function those structures reduces to harmonic-Einstein manifolds, that are a generalization of Einstein manifolds. The main ingredient of our analysis is the study of certain modified curvature tensors on M related to the map phi, called phi-curvatures, obtaining, for instance, their transformation laws under a conformal change of metric, and to develop a series of results for harmonic-Einstein manifolds that parallel those obtained for Einstein manifolds some times ago and also in the very recent literature. Einstein-type structures may be obtained, for some special values of the parameters involved, by a conformal deformation of a harmonic-Einstein manifold or even as the base of a warped product harmonic-Einstein manifold. The latter fact applies not only in the Riemannian but also in the Lorentzian setting and thus some Einstein-type structures are connected with solutions of the Einstein field equations, which are of particular interest in General Relativity. The main result of the thesis is the locally characterization, via a couple of integrability conditions and mild assumptions on the potential function, of Einstein-type structures with vanishing phi-Bach curvature (in the direction of the potential) as a warped product with harmonic-Einstein base and with an open real interval as fibre, extending in a very non trivial way a recent result for Bach flat Ricci solitons. Moreover the map phi depends only on the base of the warped product and not on the fibre . We also consider rigidity, triviality and non-existence results, both in the compact and non-compact cases. This is done via integral formulas and, in the non-compact case, via analytical tools, like the weak maximum principle and the classical results of Obata, Tashiro, Kanai.
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Cozma, Andrei. "Numerical methods for foreign exchange option pricing under hybrid stochastic and local volatility models." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:44a27fbc-1b7a-4f1a-bd2d-abeb38bf1ff7.

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In this thesis, we study the FX option pricing problem and put forward a 4-factor hybrid stochastic-local volatility model. The model, which describes the dynamics of an exchange rate, its volatility and the domestic and foreign short rates, allows for a perfect calibration to European options and has a good hedging performance. Due to the high-dimensionality of the problem, we propose a Monte Carlo simulation scheme that combines the full truncation Euler scheme for the stochastic volatility component and the stochastic short rates with the log-Euler scheme for the exchange rate. We analyze exponential integrability properties of Euler discretizations for the square-root process driving the stochastic volatility and the short rates, properties which play a key role in establishing the finiteness of moments and the strong convergence of numerical approximations for a large class of stochastic differential equations in finance, including the ones studied in this thesis. Hence, we prove the strong convergence of the exchange rate approximations and the convergence of Monte Carlo estimators for a number of vanilla and exotic options. Then, we calibrate the model to market data and discuss its fitness for pricing FX options. Next, due to the relatively slow convergence of the Monte Carlo method in the number of simulations, we examine a variance reduction technique obtained by mixing Monte Carlo and finite difference methods via conditioning. We consider a purely stochastic version of the model and price vanilla and exotic options by simulating the paths of the volatility and the short rates, and then evaluating the "inner" Black-Scholes-type expectation by means of a partial differential equation. We prove the convergence of numerical approximations and carry out a theoretical variance reduction analysis. Finally, we illustrate the efficiency of the method through a detailed quantitative assessment.
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Eranki, Gayathri Aaditya. "Integrability Evaluation Methodology for Building Integrated Photovoltaic's (BIPV) : A Study in Indian Climatic Conditions." Thesis, 2016. http://etd.iisc.ernet.in/handle/2005/2949.

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India’s geographical location renders it with ample solar-energy potential ranging from 4-7 kWh/m2 daily and 2,300–3,200 sunshine hours annually. The diverse nature of human settlements (scattered low-rise to dense high-rise) in India is one of the unexplored avenues of harnessing solar energy through electricity generation using photovoltaic (PV) technology. Solar energy is a promising alternative that carries adequate potential to support the growing energy demands of India’s burgeoning population. A previous study estimates, by the year 2070, with 425 million households (of which utilizing only 20 %), about 90 TWh of electrical energy can be generated utilizing solar energy. PV is viable for onsite distributed (decentralized) power generation offering advantages of size and scale variability, modularity, relatively low maintenance and integration into buildings (no additional demand land). The application of solar PV technology as the building envelope viz., walls, façade, fenestration, roof and skylights is termed Building Integrated Photovoltaic (BIPV). Apart from generating electricity, PV has to also function as a building envelope, which makes BIPV systems unique. Even with a gradual rise in the number of BIPV installations across the world over the years, a common consensus on their evaluation has not yet been developed. Unlike PV in a ground mounted system, its application in buildings as an envelope has huge implications on both PV and building performance. The functions of PV as a building material translates well beyond electricity generation alone and would also have to look into various aspects like the thermal comfort, weather proofing, structural rigidity, natural lighting, thermal insulation, shading, noise protection safety and aesthetics. To integrate PV into a residential building successfully serving the purpose (given the low energy densities of PV and initial cost), would also mean considering factors like the buildings electricity requirement and economic viability. As many studies have revealed, 40% of electricity consumed in a building is utilized for maintaining indoor thermal comfort. Tropical regions, such as India, are generally characterized by high temperatures and humidity attributed to good sunlight, therefore, the externality considered for this study has been the impact of BIPV on the thermal comfort. Passive designs need to regulate the buildings solar exposure by integrating a combination of appropriate thermal massing, material selection, space orientation and natural ventilation. On the other hand, PV design primarily aims to maximize solar to generate maximum energy. The design requirements for climate-responsive building design may thus infringe upon those required for optimal PV performance. Regulating indoor thermal comfort in tropical regions poses a particular challenge under such conditions, as the indoor temperature is likely to be sensitive to external temperature variations. In addition, given current performance efficiencies for various PVs, high initial cost and space requirement, it is also crucial to ascertain PV’s ability to efficiently support buildings energy requirement. Thus, BIPV would require addressing, concurrently, design requirements for energy-efficient building performance, effective PV integration, and societal feasibility. A real time roof integrated BIPV system (5.25 kW) installed at the Center for Sustainable Technologies at the Indian Institute of Science, Bangalore has been studied for its PV and building thermal performance. The study aims at understanding a BIPV system (based on crystalline silicon) from the technical (climate-responsiveness and PV performance), social (energy requirement and energy efficiency) and economical (costs and benefits) grounds and identifies relevant factors to quantify performance of any BIPV system. A methodology for BIPV evaluation has been proposed (Integrability Methodology), especially for urban localities, which can also be adopted for various PV configurations, building typologies and climatic zones. In the process, a novel parameter (thermal comfort energy) to evaluate the thermal performance of naturally ventilated buildings combining climate-responsiveness and thermal comfort aspects has also been developed. An Integrability Index has also been devised, integrating various building performance factors, to evaluate and compare the performance of BIPV structures. The methodology has been applied to the 5.25 kW BIPV system and the index has been computed to be 0.17 (on a scale of 0 – 1). An insulated BIPV system (building applied photovoltaic system) has been found to be favorable for the climate of Bangalore than BIPV. BIPV systems have also been compared across three different climates (Bangalore, Shillong and Delhi) and given the consideration of the same system for comparison, the system in Delhi is predicted to have a higher Integrability than the other two systems. The current research work is a maiden effort, that aims at developing and testing a framework to evaluate BIPV systems comprising technical, social and economic factors.
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Book chapters on the topic "Integrability condition"

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Haraoka, Yoshishige. "Linear Pfaffian Systems and Integrability Condition." In Lecture Notes in Mathematics, 311–23. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54663-2_11.

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Min-Oo and Ernst A. Ruh. "An Integrability Condition for Simple Lie Groups." In Differential Geometry and Complex Analysis, 205–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-69828-6_15.

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Majer, Pietro, and Maria Elvira Mancino. "A counter-example concerning a condition of Ogawa integrability." In Lecture Notes in Mathematics, 198–206. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0119304.

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Hietarinta, J. "Equations That Pass Hirota’s Three-Soliton Condition and Other Tests of Integrability." In Nonlinear Evolution Equations and Dynamical Systems, 46–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84039-5_8.

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Popov, Sasho Ivanov, and Jean-Marie Strelcyn. "An Elementary approach to Integrability Condition for the Euler Equations on Lie Algebra so(4)." In Hamiltonian Mechanics, 371–76. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-0964-0_39.

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Mincheva-Kamińska, Svetlana. "Equivalent Conditions for Integrability of Distributions." In Pseudo-Differential Operators and Generalized Functions, 133–47. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14618-8_11.

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Schöbel, Konrad. "The foundation: the algebraic integrability conditions." In An Algebraic Geometric Approach to Separation of Variables, 25–54. Wiesbaden: Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-11408-4_2.

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Nakamura, Shinichiro. "Testing Integrability Conditions in a Dynamic Framework." In Measurement in Economics, 793–807. Heidelberg: Physica-Verlag HD, 1988. http://dx.doi.org/10.1007/978-3-642-52481-3_50.

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Petrov, Alexander, and Alexander Shananin. "Integrability Conditions, Income Distribution, and Social Structures." In Lecture Notes in Economics and Mathematical Systems, 271–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-48773-6_17.

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Levi, Decio, Miguel A. Rodríguez, and Zora Thomova. "Construction of Partial Differential Equations with Conditional Symmetries." In Integrability, Supersymmetry and Coherent States, 375–86. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20087-9_17.

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Conference papers on the topic "Integrability condition"

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ASAI, Nobuhiro. "Characterization of Product Measures by an Integrability Condition." In Proceedings of the Third International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810267_0002.

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Xueping Hu, Guohua Fang, and Jinbiao Zhong. "Convergence of randomly weighted sums for arrays under a condition of integrability." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002402.

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ANEVA, BOYKA. "INTEGRABILITY CONDITION ON THE BOUNDARY PARAMETERS OF THE ASYMMETRIC EXCLUSION PROCESS AND MATRIX PRODUCT ANSATZ." In Proceedings of 9th International Workshop on Complex Structures, Integrability and Vector Fields. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814277723_0002.

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Murakami, Hidenori. "Integrability Conditions in Nonlinear Beam Kinematics." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65293.

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In order to develop an active nonlinear beam model, the beam’s kinematics is examined by employing the kinematic assumption of a rigid cross section during deformation. As a mathematical tool, the moving frame method, developed by Élie Cartan (1869–1951) on differentiable manifolds, is utilized by treating a beam as a frame bundle on a deforming centroidal curve. As a result, three new integrability conditions are obtained, which play critical roles in the derivation of beam equations of motion. They also serve a role in a geometrically-exact finite-element implementation of beam models. These integrability conditions enable the derivation of beam models starting from the three-dimensional Hamilton’s principle and the d’Alembert principle of virtual work. Finally, the reconstruction scheme for rotation matrices for given angular velocity at each time is presented.
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Bessonov, Mariya, Alexey Ovchinnikov, and Maxwell Shapiro. "Integrability conditions for parameterized linear difference equations." In the 38th international symposium. New York, New York, USA: ACM Press, 2013. http://dx.doi.org/10.1145/2465506.2465942.

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AFZAL, M., U. CAMCI, and K. SAIFULLAH. "INTEGRABILITY CONDITIONS FOR CONFORMAL RICCI COLLINEATION EQUATIONS." In Proceedings of the 13th Regional Conference. World Scientific Publishing Company, 2012. http://dx.doi.org/10.1142/9789814417532_0008.

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Жибер, Анатолий, and Мария Кузнецова. "Integrability conditions for semi-discrete systems of equations." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh2t-2021-10-06.16.

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Georgiev, Georgi. "Integrability of the 3D trapped ionic system." In “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0100732.

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Bostan, Alin, Thierry Combot, and Mohab Safey El Din. "Computing necessary integrability conditions for planar parametrized homogeneous potentials." In the 39th International Symposium. New York, New York, USA: ACM Press, 2014. http://dx.doi.org/10.1145/2608628.2608662.

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Gerdt, V. P., and A. Y. Zharkov. "Computer generation of necessary integrability conditions for polynomial-nonlinear evolution systems." In the international symposium. New York, New York, USA: ACM Press, 1990. http://dx.doi.org/10.1145/96877.96939.

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