Relevant bibliographies by topics / Integrability

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Integrability'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Integrability"

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Jarník, Jiří, and Jaroslav Kurzweil. "Pfeffer integrability does not imply $M_1$-integrability." Czechoslovak Mathematical Journal 44, no. 1 (1994): 47–56. http://dx.doi.org/10.21136/cmj.1994.128454.

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Schurle, Arlo W. "Perron Integrability Versus Lebesgue Integrability." Canadian Mathematical Bulletin 28, no. 4 (1985): 463–68. http://dx.doi.org/10.4153/cmb-1985-055-1.

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AbstractThe paper investigates the relationship between Perron - Stieltjes integrability and Lebesgue-Stieltjes integrability within the generalized Riemann approach. The main result states that with certain restrictions a Perron-Stieltjes integrable function is locally Lebesgue-Stieltjes integrable on an open dense set. This is then applied to show that a nonnegative Perron-Stieltjes integrable function is Lebesgue-Stieltjes integrable. Finally, measure theory is invoked to remove the restrictions in the main result.
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Mussardo, G. "Integrability, non-integrability and confinement." Journal of Statistical Mechanics: Theory and Experiment 2011, no. 01 (2011): P01002. http://dx.doi.org/10.1088/1742-5468/2011/01/p01002.

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Kozak, A. V. "Integrability in AdS/CFT." Ukrainian Journal of Physics 58, no. 11 (2013): 1108–12. http://dx.doi.org/10.15407/ujpe58.11.1108.

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Bruno, Alexander D., and Alexander B. Batkhin. "Searching for New Integrals in the Euler–Poisson Equations." Axioms 14, no. 7 (2025): 484. https://doi.org/10.3390/axioms14070484.

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In the classical problem of the motion of a rigid body around a fixed point, which is described by the Euler–Poisson equations, we propose a new method for computing cases of integrability: first, we provide algorithms for computing values of parameters ensuring potential integrability, and then we select cases of global integrability. By this method we have obtained all the known cases of global integrability and six new cases of potential integrability for which the absence of their global integrability is proven.
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KUŚ, MAREK. "Integrability and non-integrability in quantum mechanics." Journal of Modern Optics 49, no. 12 (2002): 1979–85. http://dx.doi.org/10.1080/09500340210140759.

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Khesin, Boris, and Fedor Soloviev. "Non-integrability vs. integrability in pentagram maps." Journal of Geometry and Physics 87 (January 2015): 275–85. http://dx.doi.org/10.1016/j.geomphys.2014.07.027.

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M. Saadoune and R. Sayyad. "From Scalar McShane Integrability to Pettis Integrability." Real Analysis Exchange 38, no. 2 (2013): 445. http://dx.doi.org/10.14321/realanalexch.38.2.0445.

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Ünsal, Ömer, and Filiz Taşcan. "Soliton Solutions, Bäcklund Transformation and Lax Pair for Coupled Burgers System via Bell Polynomials." Zeitschrift für Naturforschung A 70, no. 5 (2015): 359–63. http://dx.doi.org/10.1515/zna-2015-0076.

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AbstractIn this work, we apply the binary Bell polynomial approach to coupled Burgers system. In other words, we investigate possible integrability of referred system. Bilinear form and soliton solutions are obtained, some figures related to these solutions are given. We also get Bäcklund transformations in both binary Bell polynomial form and bilinear form. Based on the Bäcklund transformation, Lax pair is obtained. Namely, this is a study in which integrabilitiy of coupled burgers system is investigated.
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Stefansson, Gunnar F. "Pettis Integrability." Transactions of the American Mathematical Society 330, no. 1 (1992): 401. http://dx.doi.org/10.2307/2154171.

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Dissertations / Theses on the topic "Integrability"

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Clarke, Daniel. "Integrability in submanifold geometry." Thesis, University of Bath, 2012. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.558890.

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This thesis concerns the relationship of submanifold geometry, in both the smooth and discrete sense, to representation theory and the theory of integrable systems. We obtain Lie theoretic generalisations of the transformation theory of projectively and Lie applicable surfaces, and M�obius-flat submanifolds of the conformal n-sphere. In the former case, we propose a discretisation. We develop a projective approach to centro-ane hypersurfaces, analogous to the conformal approach to submanifolds in spaceforms. This yields a characterisation of centro-ane hypersurfaces amongst M�obius-flat projec
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Young, Charles Alastair Stephen. "Integrability and symmetric spaces." Thesis, University of Cambridge, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.614914.

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Coletta, Meredith L. Hicks R. Andrew. "Integrability in optical design /." Philadelphia, Pa. : Drexel University, 2009. http://hdl.handle.net/1860/3079.

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Engbrant, Fredrik. "Supersymmetric Quantum Mechanics and Integrability." Thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-173301.

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This master’s thesis investigates the relationship between supersymmetry and integrability in quantum mechanics. This is done by finding a suitable way to systematically add more supersymmetry to the system. Adding more super- symmetry will give constraints on the potential which will lead to an integrable system. A possible way to explore the integrability of supersymmetric quantum mechanics was introduced in a paper by Crombrugghe and Rittenberg in 1983, their method has been used as well as another approach based on expanding a N = 1 system by introducing complex structures. N = 3 or more s
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Scott, Daniel R. D. "Separation of variables and integrability." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389963.

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Chen, Y.-C. "Anti-integrability in Lagrangian systems." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.597512.

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Three examples of application of the anti-integrability concept in Lagrangian systems are proved, concerning the continuation of a class of trajectories from the anti-integrable limit. All three examples were proposed by Robert S. MacKay. The first example arises in adiabatically perturbed systems. With an assumption that the adiabatic Poincaré-Melnikov function has simple zeros, we constructed a variational functional whose critical points give rise to a sequence of homoclinic trajectories for the unperturbed Lagrangian in the adiabatic limit but a sequence of multi-bump trajectories under pe
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Zhao, Peng. "Integrability in supersymmetric gauge theories." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.648125.

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Katsimpouri, Despoina. "Integrability in two-dimensional gravity." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2015. http://dx.doi.org/10.18452/17316.

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In dieser Arbeit untersuchen wir Gravitations- und Supergravitationssysteme, die in zwei Dimensionen vollständig integrabel sind. Dies sind Theorien, zu denen auch die einsteinsche Gravitation zählt, die bei dimensionaler Reduktion auf drei Dimensionen, die Form eines nichtlinearen $\s$-Models für den Materieteil annehmen und als Zielmannigfaltigkeit den Cosetraum $\mathrm{G}/\mathrm{K}$ haben. Ausgehend von der einsteinschen Gravitation betrachten wir insbesondere die Klasse der stationären und axialsymmetrischen Lösungen. Dabei untersuchen wir das lineare System (Lax-Paar), das den nichtlin
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Gahramanov, Ilmar. "Superconformal indices, dualities and integrability." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17568.

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In dieser Arbeit behandeln wir exakte, nicht-perturbative Ergebnisse, die mithilfe der superkonformen Index-Technik, in supersymmetrischen Eichtheorien mit vier Superladungen (d. h. N=1 Supersymmetrie in vier Dimensionen und N=2 in drei Dimensionen) gewonnen wurden. Wir benutzen die superkonforme Index-Technik um mehrere Dualitäts Vermutungen in supersymmetrischen Eichtheorien zu testen. Wir führen Tests der dreidimensionalen Spiegelsymmetrie und Seiberg ähnlicher Dualitäten durch. Das Ziel dieser Promotionsarbeit ist es moderne Fortschritte in nicht-perturbativen supersymmetrischen Eichtheor
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Debernardi, Pinos Alberto. "Convergence and integrability of fourier transforms." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/463030.

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El propòsit d'aquesta tesi és el d'estudiar dos tipus de problema diferents per a certes transformades de Fourier. Primer investiguem la convergència uniforme d'integrals sinusoidals en una i dos dimensions. Per a dur a terme aquesta investigació, utilitzem una condicio de monotonia general, recentment introduïda, tot desenvolupant aquesta teoria en concordança amb les nostres necessitats. Com a resultats principals, obtenim condicions necessàries i suficients que les funcions monòtones generals han de satisfer per tal de poder assegurar la convergència uniforme de les seves respectives tra
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Books on the topic "Integrability"

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Mikhailov, Alexander V., ed. Integrability. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-88111-7.

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1953-, Mikhailov Alexander V., ed. Integrability. Springer, 2009.

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1953-, Mikhailov Alexander V., ed. Integrability. Springer, 2009.

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Zakharov, Vladimir E., ed. What Is Integrability? Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-88703-1.

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J, Mason L., and Nutku Yavuz, eds. Geometry and integrability. Cambridge University Press, 2003.

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Evgenévich, Zakharov Vladimir, and Calogero F, eds. What is integrability? Springer-Verlag, 1991.

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F, Calogero, and Zakharov Vladimir Evgenʹevich, eds. What is integrability? Springer-Verlag, 1990.

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Zakharov, Vladimir E. What Is Integrability? Springer Berlin Heidelberg, 1991.

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Kosmann-Schwarzbach, Y., B. Grammaticos, and K. M. Tamizhmani, eds. Integrability of Nonlinear Systems. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0113690.

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Kosmann-Schwarzbach, Yvette, K. M. Tamizhmani, and Basil Grammaticos, eds. Integrability of Nonlinear Systems. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/b94605.

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Book chapters on the topic "Integrability"

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Rudolph, Gerd, and Matthias Schmidt. "Integrability." In Theoretical and Mathematical Physics. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5345-7_11.

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Flaschka, H., A. C. Newell, and M. Tabor. "Integrability." In What Is Integrability? Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-88703-1_3.

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Newton, Isaac. "Integrability." In Abstract Calculus. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003166559-10.

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Arutyunov, Gleb. "Liouville Integrability." In Elements of Classical and Quantum Integrable Systems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24198-8_1.

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Rădulescu, Teodora-Liliana T., Vicenţiu D. Rădulescu, and Titu Andreescu. "Riemann Integrability." In Problems in Real Analysis. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-77379-7_9.

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Reichl, L. E. "Quantum Integrability." In The Transition to Chaos. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-4352-4_5.

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Bartle, Robert. "Absolute integrability." In Graduate Studies in Mathematics. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/032/07.

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Steinmann, Paul. "Integrability and Non-Integrability in a Nutshell." In Geometrical Foundations of Continuum Mechanics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46460-1_9.

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Bloch, A. M., and T. S. Ratiu. "Convexity and Integrability." In Symplectic Geometry and Mathematical Physics. Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4757-2140-9_3.

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Prüss, Jan. "Integrability of Resolvents." In Monographs in Mathematics. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8570-6_10.

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Conference papers on the topic "Integrability"

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ANDERSON, I. M., M. E. FELS, and P. J. VASSILIOU. "ON DARBOUX INTEGRABILITY." In Proceedings of the International Conference on SPT 2007. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812776174_0002.

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Popowicz, Ziemowit, Wen Xiu Ma, Xing-biao Hu, and Qingping Liu. "Does the supersymmetric integrability imply the integrability of Bosonic sector." In NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the First International Workshop. AIP, 2010. http://dx.doi.org/10.1063/1.3367239.

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Lulek, T. "Bethe Ansatz and Integrability." In Symmetry and Structural Properties of Condensed Matter. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813234345_0003.

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Mukanov, Zhalgas, and Dauren Matin. "Integrability of cosine transforms." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930496.

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CARROLL, R. "STAR PRODUCTS AND INTEGRABILITY." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0098.

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Fan and Wolff. "Surface curvature from integrability." In Proceedings of IEEE Conference on Computer Vision and Pattern Recognition. IEEE Comput. Soc. Press, 1994. http://dx.doi.org/10.1109/cvpr.1994.323876.

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Lamers, Jules. "Introduction to quantum integrability." In 10th Modave Summer School in Mathematical Physics. Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.232.0001.

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Tulczyjew, W. "The theory of systems with internal degrees of freedom." In Classical and Quantum Integrability. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc59-0-1.

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de León, M., J. C. Marrero, and D. Martín de Diego. "A new geometric setting for classical field theories." In Classical and Quantum Integrability. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc59-0-10.

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Libermann, Paulette. "Cartan connections and momentum maps." In Classical and Quantum Integrability. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc59-0-11.

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Reports on the topic "Integrability"

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Fally, Thibault. Integrability and Generalized Separability. National Bureau of Economic Research, 2018. http://dx.doi.org/10.3386/w25025.

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Samorodnitsky, Gennady. Integrability of Stable Processes. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada225959.

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Ramos Reina, Isaac, and Artemio González López. Integrability and entanglement in quantum systems. Fundación Avanza, 2023. http://dx.doi.org/10.60096/fundacionavanza/1792022.

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Integrability, the Calogero model and its different versions and computation of the partition function of the PF spin chain via the "freezing trick". Entanglement and entanglement entropy. Application to a block of the XX spin chain.
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Glynn, Peter W., and Donald L. Iglehart. Consequences of Uniform Integrability for Simulation. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada178860.

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Lunin, Oleg. Integrability and Symmetries of Classical Geometries. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1830502.

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Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-265-278.

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Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-16-2009-77-91.

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Marmo, Giuseppe, Giovanni Sparano, and Gaetano Vilasi. Classical and Quantum Symmetries Reduction and Integrability. Journal of Geometry and Symmetry in Physics, 2013. http://dx.doi.org/10.7546/jgsp-31-2013-105-117.

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Sato, Hajime. Integrability of Contact Schwarzian Derivatives and its Linearization. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-225-228.

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Georgiev, Georgi. Non-integrability of a System with the Dyson Potential. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2018. http://dx.doi.org/10.7546/crabs.2018.09.03.

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