Relevant bibliographies by topics / Homotopy technical

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

Academic literature on the topic 'Homotopy technical'

Author: Grafiati
Published: 8 June 2024
Last updated: 31 July 2025

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Journal articles on the topic "Homotopy technical"

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Fegan, H. D., and B. Steer. "Second Order Operators on a Compact Lie Group." Canadian Journal of Mathematics 57, no. 1 (2005): 99–113. http://dx.doi.org/10.4153/cjm-2005-005-7.

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AbstractWe describe the structure of the space of second order elliptic differential operators on a homogenous bundle over a compact Lie group. Subject to a technical condition, these operators are homotopic to the Laplacian. The technical condition is further investigated, with examples givenwhere it holds and others where it does not. Since many spectral invariants are also homotopy invariants, these results provide information about the invariants of these operators.
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Bhattacharya, Subhrajit, Maxim Likhachev, and Vijay Kumar. "Search-Based Path Planning with Homotopy Class Constraints in 3D." Proceedings of the AAAI Conference on Artificial Intelligence 26, no. 1 (2021): 2097–99. http://dx.doi.org/10.1609/aaai.v26i1.8435.

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Homotopy classes of trajectories, arising due to the presence of obstacles, are defined as sets of trajectories that can be transformed into each other by gradual bending and stretching without colliding with obstacles. The problem of exploring/finding the different homotopy classes in an environment and the problem of finding least-cost paths restricted to a specific homotopy class (or not belonging to certain homotopy classes) arises frequently in such applications as predicting paths for unpredictable entities and deployment of multiple agents for efficient exploration of an environment. In
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Iwase, Norio. "H-spaces with generating subspaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 111, no. 3-4 (1989): 199–211. http://dx.doi.org/10.1017/s0308210500018515.

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SynopsisFor an H-space with a generating subspace, we construct a space whose K-cohomology is a direct sum of a truncated polynomial algebra and an ideal, which enables technical restrictions to be removed from several known results in the homotopy theory of H-spaces.
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Fresse, Benoit. "Props in model categories and homotopy invariance of structures." gmj 17, no. 1 (2010): 79–160. http://dx.doi.org/10.1515/gmj.2010.007.

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Abstract We prove that any category of props in a symmetric monoidal model category inherits a model structure. We devote an appendix, about half the size of the paper, to the proof of the model category axioms in a general setting. We need the general argument to address the case of props in topological spaces and dg-modules over an arbitrary ring, but we give a less technical proof which applies to the category of props in simplicial sets, simplicial modules, and dg-modules over a ring of characteristic 0. We apply the model structure of props to the homotopical study of algebras over a prop
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Editorial, E. "Retraction: Solution of Burgers' equation appears in fluid mechanics by multistage optimal homotopy asymptotic method, doi https://doi.org/10.2298/TSCI23S1087W." Thermal Science, no. 00 (2023): 160. http://dx.doi.org/10.2298/tsci230724160e.

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Editor-in-Chief of the journal Thermal Science request that it is necessary to retract paper SOLUTION OF BURGERS' EQUATION APPEARS IN FLUID MECHANICS BY MULTISTAGE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD DOI: https://doi.org/10.2298/TSCI23S1087W by Fuzhang WANG, Niaz ALI SHAH, Imtiaz AHMAD Hijaz AHMAD, Muhammad Kamran ALAM, and Phatiphat THOUNTHONG published in the journal Thermal Science, Vol. 27, Year 2023, Special Issue 1, S87-S92 since by technical error of the Editorial staff, this paper has already been published in the journal Thermal Science Vol.26, Part 1B, pp. 815-821, 2022 https://doi.or
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Pym, Brent, and Pavel Safronov. "Shifted Symplectic Lie Algebroids." International Mathematics Research Notices 2020, no. 21 (2018): 7489–557. http://dx.doi.org/10.1093/imrn/rny215.

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Abstract Shifted symplectic Lie and $L_{\infty }$ algebroids model formal neighborhoods of manifolds in shifted symplectic stacks and serve as target spaces for twisted variants of the classical topological field theory defined by Alexandrov--Kontsevich--Schwarz--Zaboronsky. In this paper, we classify zero-, one-, and two-shifted symplectic algebroids and their higher gauge symmetries, in terms of classical geometric “higher structures”, such as Courant algebroids twisted by $\Omega ^{2}$-gerbes. As applications, we produce new examples of twisted Courant algebroids from codimension-two cycles
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Ramadevu, Syamala, Vijayakumar Prathi, Nageswara Rao Thota, Ibrahim Shaik Mohammed, and Jyothsna Kanithi. "Analysis of Chemically Radiative Casson Nanofluid Flow over a Porous Nonlinear Stretching Sheet using the Buongiorno Model: HAM-Based Solutions." Journal of Advanced Research in Numerical Heat Transfer 31, no. 1 (2025): 76–103. https://doi.org/10.37934/arnht.31.1.76103.

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Casson nanofluid flow has drawn substantial interest due to its industrial uses, including textile industry, paints and coatings biomedical application, drilling muds, cement slurries, tissue engineering, etc. In this article, we analyse the chemically radiative Casson fluid model across a porous sheet undergoing nonlinear stretching. It evaluates the implications regarding heat generation along with viscous dissipation. The scientific nanofluid framework laid out by Buongiorno has been exploited. Through employing the proper similarity transformations, the partial differential equations which
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Chen, Cui, Jiahui Hong, and Kai Zhao. "Global propagation of singularities for discounted Hamilton-Jacobi equations." Discrete & Continuous Dynamical Systems 42, no. 4 (2022): 1949. http://dx.doi.org/10.3934/dcds.2021179.

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<p style='text-indent:20px;'>The main purpose of this paper is to study the global propagation of singularities of the viscosity solution to discounted Hamilton-Jacobi equation</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE333"> \begin{document}$ \begin{align} \lambda v(x)+H( x, Dv(x) ) = 0 , \quad x\in \mathbb{R}^n. \quad\quad\quad (\mathrm{HJ}_{\lambda})\end{align} $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>with fixed constant <inline-formula><tex-math id="M1">\be
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Merkulov, Sergei, and Thomas Willwacher. "Classification of universal formality maps for quantizations of Lie bialgebras." Compositio Mathematica 156, no. 10 (2020): 2111–48. http://dx.doi.org/10.1112/s0010437x20007381.

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We settle several fundamental questions about the theory of universal deformation quantization of Lie bialgebras by giving their complete classification up to homotopy equivalence. Moreover, we settle these questions in a greater generality: we give a complete classification of the associated universal formality maps. An important new technical ingredient introduced in this paper is a polydifferential endofunctor ${\mathcal {D}}$ in the category of augmented props with the property that for any representation of a prop ${\mathcal {P}}$ in a vector space $V$ the associated prop ${\mathcal {D}}{
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BARNES, DAVID, and CONSTANZE ROITZHEIM. "STABLE LEFT AND RIGHT BOUSFIELD LOCALISATIONS." Glasgow Mathematical Journal 56, no. 1 (2013): 13–42. http://dx.doi.org/10.1017/s0017089512000882.

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AbstractWe study left and right Bousfield localisations of stable model categories which preserve stability. This follows the lead of the two key examples: localisations of spectra with respect to a homology theory and A-torsion modules over a ring R with A a perfect R-algebra. We exploit stability to see that the resulting model structures are technically far better behaved than the general case. We can give explicit sets of generating cofibrations, show that these localisations preserve properness and give a complete characterisation of when they preserve monoidal structures. We apply these
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Dissertations / Theses on the topic "Homotopy technical"

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Koutoati, Kouami. "Modélisation numérique du comportement statique et vibratoire des poutres sandwich viscoélastiques à gradient de propriétés." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0290.

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On propose par le biais de cette thèse un outil numérique pour l’étude statique et dynamique des structures viscoélastiques constituées de matériaux à gradient de propriétés (FGM) pour le contrôle des vibrations par amortissement passif. L’objectif est de mettre à la disposition des ingénieurs un code générique basé sur l’approche élément fini pour des calculs de dimensionnements sur des poutres sandwich FGM à âme viscoélastique destinées aux applications exigeant la légèreté et une bonne résistance thermique et mécanique comme le domaine de l’aérospatial, de l’automobile et du nucléaire. Pour
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Akoussan, Komlan. "Modélisation et conception de structures composites viscoélastiques à haut pouvoir amortissant." Thesis, Université de Lorraine, 2015. http://www.theses.fr/2015LORR0188/document.

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L’objectif de ce travail est de développer des outils numériques utilisables dans la détermination de manière exacte des propriétés modales des structures sandwichs viscoélastiques composites au vue de la conception des structures sandwichs viscoélastiques légères mais à haut pouvoir amortissant. Pour cela nous avons tout d’abord développé un outil générique implémenté en Matlab pour la détermination des propriétés modales en vibration libre des plaques sandwichs viscoélastiques dont les faces sont en stratifié de plusieurs couches orientées dans diverses directions. L’intérêt de cet outil, ba
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Book chapters on the topic "Homotopy technical"

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Heuts, Gijs, and Ieke Moerdijk. "Kan Conditions for Dendroidal Sets." In Simplicial and Dendroidal Homotopy Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10447-3_6.

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AbstractIn this chapterwe study extension conditions for dendroidal sets and lifting conditions for maps of dendroidal sets which parallel the conditions for simplicial sets of the previous chapter. The structure of this chapter follows the same plan to stress the analogy. The proofs of various pushout-product properties, which we develop in Section 6.3, become more technical in the case of dendroidal sets.
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Shah, Qayyum. "Analysis of Hugging Flow Through the Powerful Technique of Homotopy Asymptotic Method (HAM)." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4355-1_65.

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AbstractA hugging flow occurs when a fluid is hugged between two undistinguishable plates fronting one another. To this end, the hugging flow between two disks in drive of unstable nature is of immense importance for its technical and scientific uses such as, molding of fluids, the study of fluid machinery such as pumps, fans, blowers, windmills, air compressors, heat exchangers, jet & rocket engines, gas turbines, power plants, pollution control equipments, air-conditioning equipments, heating & ventilation systems, breathing aids, heat-lungs machines, among others makes fluid mechani
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Zinn-Justin, Jean. "Periodic semi-classical vacuum, instantons and anomalies." In From Random Walks to Random Matrices. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.003.0018.

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Chapter 18 describes a few systems where the classical action has an infinite number of degenerate minima but, in the quantum theory, this degeneracy is lifted by barrier penetration effects. The simplest example is the cosine periodic potential and leads to the band structure. Technically, this corresponds to the existence of instantons, solutions to classical equations in imaginary time. In all examples, we show that the classical solutions are constrained by Bogomolnyi’s inequalities, which involve topological charges associated to a winding number and defining homotopy classes. In the case
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Vadim, Kaloshin, and Zhang Ke. "Normally hyperbolic cylinders at double resonance." In Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202525.003.0010.

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This chapter proves the geometric picture of double resonance described in Chapter 4. There are two cases. In the simple critical homology case, the chapter shows the homoclinic orbit can be extended to periodic orbits both in positive and negative energy. The union of these periodic orbits forms a normally hyperbolic invariant manifold (which is homotopic to a cylinder with a puncture). In the non-simple homology case, the chapter demonstrates that for positive energy, there exist periodic orbits. The strategy is to prove the existence of these periodic orbits as hyperbolic fixed points of co
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Conference papers on the topic "Homotopy technical"

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Tsai, L. W., and J. J. Lu. "Coupler-Point-Curve Synthesis Using Homotopy Methods." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0154.

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Abstract A numerical method called “Homotopy Method” (or Continuation Method) is applied to the problem of four-bar coupler-point-curve synthesis. We have shown that: for five precision points, the “General Homotopy method” can be applied to find the link lengths of a number of four-bar linkages, and for nine precision points, a heuristic “Cheater’s Homotopy” can be applied to find some four-bar linkages. The nine-coupler-points synthesis problem is highly non-linear and highly singular. We have found that Newton-Raphson’s method and Powell’s method tend to converge to the singular solutions o
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Dhingra, A. K., and M. Zhang. "Multiply Separated Synthesis of Six-Link Mechanisms Using Parallel Homotopy With M-Homogenization." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5929.

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Abstract This paper presents complete solutions to the function generation problem of six-link Watt and Stephenson mechanisms, with multiply separated precision positions (PP), using homotopy methods with m-homogenization. It is seen that using the matrix method for synthesis, applying m-homogeneous group theory and by defining auxiliary equations in addition to the synthesis equations, the number of homotopy paths to be tracked in obtaining all possible solutions to the synthesis problem can be drastically reduced. Numerical work dealing with the synthesis of Watt and Stephenson mechanisms fo
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Subbian, Thiagaraj, and Donald R. Flugrad. "Synthesis of an RSSR-SS Mechanism Using a Continuation Method." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0344.

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Abstract Precision position synthesis of an RSSR-SS mechanism is considered. The RSSR-SS mechanism is broken up into two RS and one SS dyads. These components are designed independently using a continuation method. This treatment is possible for a maximum of four precision positions. A parameter homotopy is implemented for the RS dyads and a 3-homogeneous traditional homotopy is used for the SS dyad design. Two example problems are considered.
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Dhingra, Anoop K., Jyun-Cheng Cheng, and Dilip Kohli. "Complete Solutions to Synthesis of Six-Link, Slider-Crank and Four-Link Mechanisms for Function, Path and Motion Generation Using Homotopy With M-Homogenization." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0308.

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Abstract This paper presents complete solutions to the function, motion and path generation problems of Watt’s and Stephenson six-link, slider-crank and four-link mechanisms using homotopy methods with m-homogenization. It is shown that using the matrix method for synthesis, applying m-homogeneous group theory, and by defining compatibility equations in addition to the synthesis equations, the number of homotopy paths to be tracked can be drastically reduced. For Watt’s six-link function generators with 6 thru 11 precision positions, the number of homotopy paths to be tracked in obtaining all
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Kwak, Sangmin, Youngseo Kim, Sukjoon Pyun, and Changsoo Shin. "Frequency‐domain homotopy inversion using the perturbation theory." In SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, 2011. http://dx.doi.org/10.1190/1.3627724.

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Dhingra, Anoop, Dilip Kohli, and Yong-Xian Xu. "Direct Kinematics of General Stewart Platforms." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0204.

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Abstract A formulation for solving the direct kinematics of the general Stewart platform consisting of six moving and six grounded spheric joints is presented. The homotopy method is used for solving the direct kinematics of the platform, and it is shown that there exist a maximum of 40 possible solutions to the direct kinematics problem. These 40 solutions can be obtained by tracking only 64 homotopy paths. It is also shown that there are a maximum of 24 solutions for the Stewart platform with four spheric joints, and there exist a maximum of 16 solutions to the direct kinematics of the Stewa
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Kwak, Sangmin, Youngseo Kim, and Changsoo Shin. "Application of frequency-domain homotopy inversion to real data." In SEG Technical Program Expanded Abstracts 2013. Society of Exploration Geophysicists, 2013. http://dx.doi.org/10.1190/segam2013-0796.1.

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Sielemann, Michael, Francesco Casella, Martin Otter, et al. "Robust Initialization of Differential-Algebraic Equations Using Homotopy." In The 8th International Modelica Conference, Technical Univeristy, Dresden, Germany. Linköping University Electronic Press, 2011. http://dx.doi.org/10.3384/ecp1106375.

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Zhang, W., Y. H. Qian, M. H. Yao, and S. K. Lai. "Homotopy Analysis Method for Multi-Degree-of-Freedom Nonlinear Dynamical Systems." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28089.

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In reality, the behavior and nature of nonlinear dynamical systems are ubiquitous in many practical engineering problems. The mathematical models of such problems are often governed by a set of coupled second-order differential equations to form multi-degree-of-freedom (MDOF) nonlinear dynamical systems. It is extremely difficult to find the exact and analytical solutions in general. In this paper, the homotopy analysis method is presented to derive the analytical approximation solutions for MDOF dynamical systems. Four illustrative examples are used to show the validity and accuracy of the ho
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Caro, Stephane, Philippe Wenger, and Fouad Bennis. "Robustness Study of Generic and Non-Generic 3R Positioning Manipulators." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84903.

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This paper presents a robustness study of 3R manipulators and aims at answering the following question: are generic manipulators more robust than non-generic manipulators? We exploit several properties specific to 3R manipulators such as singularities, cuspidality, homotopy classes, and path feasibility, in order to find some correlations between genericity and robustness concepts. For instance, we show that generic manipulators, close to non-generic ones in the space of geometric parameters, are not robust with respect to their homotopy class and to the feasibility of paths. Moreover, we noti
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