Afterword to the paper by N.N. Nekhoroshev
Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 542-552.

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Afterword to the paper by N.N. Nekhoroshev. Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 542-552. http://geodesic.mathdoc.fr/item/ND_2016_12_3_a8/

[1] Bates L. M., “Monodromy in the champagne bottle”, Z. Angew. Math. Phys., 42:6 (1991), 837–847 | DOI | MR | Zbl

[2] Broer H., Efstathiou K., Lukina O., “A geometric fractional monodromy theorem”, Discrete Contin. Dyn. Syst. Ser. S, 3:4 (2010), 517–532 | DOI | MR | Zbl

[3] Cushman R., Knörrer H., “The energy momentum mapping of the Lagrange top”, Differential geometric methods in mathematical physics (Clausthal, 1983), Lecture Notes in Math., 1139, eds. H.-D. Doebner, J.-D. Hennig, Springer, Berlin, 1985, 12–24 | DOI | MR

[4] Cushman R. H., Dullin H. R., Giacobbe A., Holm D. D., Joyeux M., Lynch P., Sadovskií D. A., Zhilinskií B. I., “{CO}$_2$ molecule as a quantum realization of the $1:1:2$ resonant swing-spring with monodromy”, Phys. Rev. Lett., 93:2 (2004), 024302, 4 pp. | DOI

[5] Cushman R. H., Sadovskií D. A., “Monodromy in the hydrogen atom in crossed fields”, Phys. D, 142:1–2 (2000), 166–196 | DOI | MR | Zbl

[6] Cushman R., Vũ Ngȯc S., “Sign of the monodromy for Liouville integrable systems”, Ann. Henri Poincaré, 3:5 (2002), 883–894 | DOI | MR | Zbl

[7] Efstathiou K., Broer H. W., “Uncovering fractional monodromy”, Comm. Math. Phys., 324:2 (2013), 549–588 | DOI | MR | Zbl

[8] Efstathiou K., Sadovskií D. A., Zhilinskií B. I., “Classification of perturbations of the hydrogen atom by small static electric and magnetic fields”, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 463:2083 (2007), 1771–1790 | DOI | MR | Zbl

[9] Greuel G.-M., Lossen C., Shustin E., Introduction to singularities and deformations, Springer Monogr. Math., Springer, Berlin, 2007, 471 pp. | MR | Zbl

[10] Kontsevich M., Soibelman Y., “Affine structures and non-Archimedean analytic spaces”, The unity of mathematics: In honor of the 90th birthday of I. M. Gelfand, Progr. Math., 244, eds. P. Etingof, V. Retakh, I. M. Singer, Birkhäuser, Boston, Mass., 2006, 321–385 | DOI | MR | Zbl

[11] Nekhoroshev N., “Fuzzy fractional monodromy and the section-hyperboloid”, Milan J. Math., 76 (2008), 1–14 | DOI | MR | Zbl

[12] Sugny D., Mardešić P., Pelletier M., Jebrane A., Jauslin H. R., “Fractional Hamiltonian monodromy from a Gauss – Manin monodromy”, J. Math. Phys., 49:4 (2008), 042701, 35 pp. | DOI | MR | Zbl

[13] Symington M., “Four dimensions from two in symplectic topology”, Topology and geometry of manifolds (Athens, Ga., 2001), Proc. Sympos. Pure Math., 71, eds. G. Matić, C. McCrory, AMS, Providence, R.I., 2003, 153–208 | DOI | MR | Zbl

[14] Vũ Ngȯc S., “Moment polytopes for symplectic manifolds with monodromy”, Adv. Math., 208:2 (2007), 909–934 | DOI | MR | Zbl

[15] Winnewisser M., Winnewisser B. P., Medvedev I. R., De Lucia F. C., Ross S. C., Bates L. M., “The hidden kernel of molecular quasi-linearity: Quantum monodromy”, J. Mol. Struct., 798:1–3 (2006), 1–26 | DOI

[16] Zhilinskií B., “Interpretation of quantum Hamiltonian monodromy in terms of lattice defects”, Acta Appl. Math., 87:1–3 (2005), 281–307 | DOI | MR | Zbl

[17] Abramov A. M., Arnol'd V. I., Bolsinov A. V., Varchenko A. N., Galgani L., Zhilinskii B. I., Il'yashenko Yu. S., Kozlov V.V., Neishtadt A. I., Piterbarg V. I., Khovanskii A. G., Yashchenko V. V., “Nikolai Nikolaevich Nekhoroshev”, Russian Math. Surveys, 64:3 (2009), 561–566 | DOI | DOI | MR | Zbl

[18] Arnold V. I., Goryunov V. V., Lyashko O. V., Vasil'ev V. A., “Singularity theory: 1”, Dynamical systems VI, Encyclopaedia Math. Sci., 6, ed. V. I. Arnold, Springer, Berlin, 1998 | MR | Zbl

[19] Tonkonog D. I., “A simple proof of the «geometric fractional monodromy theorem»”, Moscow Univ. Math. Bull., 68:2 (2013), 118–121 | DOI | MR | Zbl