Search results for " Pendulum"

showing 2 items of 12 documents

“L’Absence d’amour : L’Europe du Sud et ses représentations dans ‘The Pit andthe Pendulum’ et ‘The Cask of Amontillado.’”

1992

International audience

[SHS.LITT] Humanities and Social Sciences/Literature[SHS.LITT]Humanities and Social Sciences/LiteratureEdgar Allan PoeThe Cask of AmontilladoThe Pit and the Pendulum[ SHS.LITT ] Humanities and Social Sciences/LiteratureComputingMilieux_MISCELLANEOUSL'Europe du Sud
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Abelian Integrals: From the Tangential 16th Hilbert Problem to the Spherical Pendulum

2016

In this chapter we deal with abelian integrals. They play a key role in the infinitesimal version of the 16th Hilbert problem. Recall that 16th Hilbert problem and its ramifications is one of the principal research subject of Christiane Rousseau and of the first author. We recall briefly the definition and explain the role of abelian integrals in 16th Hilbert problem. We also give a simple well-known proof of a property of abelian integrals. The reason for presenting it here is that it serves as a model for more complicated and more original treatment of abelian integrals in the study of Hamiltonian monodromy of fully integrable systems, which is the main subject of this chapter. We treat i…

symbols.namesakePure mathematicsIntegrable systemMonodromyInfinitesimalSlater integralsSpherical pendulumsymbolsAbelian groupHamiltonian (quantum mechanics)Mathematics
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