Nikolai Nikolaevich Nekhoroshev (obituary)

A. M. Abramov   ; V. I. Arnol'd   ; A. V. Bolsinov   ; A. N. Varchenko   ; L. Galgani   ; B. I. Zhilinskii   ; Yu. S. Il'yashenko   ; V. V. Kozlov   ; A. I. Neishtadt   ; V. I. Piterbarg   ; A. G. Khovanskii   ; V. V. Yashchenko

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 64 (2009) no. 3, pp. 561-566

Bibliographie

[1] “Dve teoremy o peremennykh deistvie-ugol”, UMN, 24:5 (1969), 237–238 | MR | Zbl

[2] “Behavior of Hamiltonian systems close to integrable”, Funct. Anal. Appl., 5:4 (1971), 338–339 | DOI | MR | Zbl

[3] “Action-angle variables, and their generalizations”, Trans. Moscow Math. Soc., 26 (1974), 180–198 | MR | Zbl

[4] “Stable lower estimates for smooth mappings and for gradients of smooth functions”, Math. USSR-Sb., 19:3 (1973), 425–467 | DOI | MR | Zbl

[5] O povedenii gamiltonovykh sistem, blizkikh k integriruemym, Dis. ... kand. fiz.-matem. nauk, MGU, M., 1973

[6] “Metod posledovatelnykh kanonicheskikh zamen peremennykh”, Dobavlenie k kn.: Yu. Mozer, Lektsii o gamiltonovykh sistemakh, Mir, M., 1973, 150–164

[7] “O povedenii gamiltonovykh sistem, blizkikh k integriruemym”, Proceedings of the International Congress of Mathematicians (Vancouver, BC, 1974), 2, Canad. Math. Congress, Montreal, Quebec, 1975, 309–314 | MR | Zbl

[8] “Eksponentsialnaya otsenka vremeni ustoichivosti gamiltonovykh sistem, blizkikh k integriruemym”, UMN, 31:3 (1976), 195

[9] “An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems”, Russian Math. Surveys, 32:6 (1977), 1–65 | DOI | MR | Zbl | Zbl

[10] “An exponential estimate of the time of stability of nearly integrable Hamiltonian systems. II”, Topics in modern mathematics, Petrovskii Semin., 5 (1985), 1–58 | MR | Zbl | Zbl

[11] “Normalnye formy neprivodimykh osobennostei funktsii ot dvukh peremennykh”, UMN, 36:4 (1981), 234

[12] “Faktory, vliyayuschie na ustoichivost gamiltonovykh sistem, blizkikh k integriruemym”, IX-ya mezhdunarodnaya konferentsiya po nelineinym kolebaniyam, t. 2 (Kiev, 1981), Naukova dumka, Kiev, 1984, 292–294 | MR

[13] “O primykanii osobennostei tipa $A_k$ k stratu $\mu=\mathrm{const}$”, UMN, 38:5 (1983), 127 (with S. M. Gusein-Zade)

[14] “Contiguity of $A_k$-singularities at points of the stratum $\mu=\mathrm{const}$ of a singularity”, Funct. Anal. Appl., 17:4 (1983), 312–313 (with S. M. Gusein-Zade) | DOI | MR | Zbl

[15] “The complex germ in systems with one cyclic variable”, Russian Math. Surveys, 39:3 (1984), 219–220 (with B. Valigno, S. Yu. Dobrokhotov) | DOI | MR | Zbl | Zbl

[16] “Usloviya suschestvovaniya i edinstvennosti kompleksnogo rostka na izotropnykh torakh”, UMN, 39:4 (1984), 124 (with B. Valino)

[17] “Ob odnoi teoreme N. I. Gavrilova”, Differents. uravneniya, 21:2 (1985), 335–338 | MR

[18] “Semeistva invariantnykh izotropnykh torov gamiltonovykh sistem”, UMN, 40:5 (1985), 217

[19] “Ryady Pyuize ot dvukh peremennykh”, UMN, 44:4 (1989), 225

[20] “Silno ustoichivye periodicheskie traektorii v rezonansnykh zonakh maksimalnoi kratnosti”, UMN, 45:4 (1990), 116

[21] Superstability of the systems with quasi-convex unperturbed Hamiltonians, USA, 1991

[22] Stability of the resonant zones of the systems with quasi-convex unperturbed Hamiltonians, S.-Peterburg, 1991

[23] “Resonance zones of multifrequency systems”, Russian Math. Surveys, 46:6 (1991), 190–191 | DOI

[24] “The Poincaré–Lyapunov–Liouville–Arnol'd theorem”, Funct. Anal. Appl., 28:2 (1994), 128–129 | DOI | MR | Zbl

[25] “On complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral”, Math. Notes, 58:5 (1995), 1129–1135 (with I. K. Babenko) | DOI | MR | Zbl

[26] “A property of exponential stability in nonlinear wave equations near the fundamental linear mode”, Phys. D, 122:1–4 (1998), 73–104 (with D. Bambusi) | DOI | MR | Zbl

[27] “A bound for the number of closed trajectories of Hamiltonian systems viable under perturbation”, Russian Math. Surveys, 53:4 (1998), 857 (with E. A. Kudryavtseva) | DOI

[28] “Exponential stability of the approximate principal mode of the nonlinear wave equation”, Funct. Anal. Appl., 33:1 (1999), 69–71 | DOI | MR | Zbl

[29] “Singularities of type $A_k$ on plane curves of a chosen degree”, Funct. Anal. Appl., 34:3 (2000), 214–215 (with S. M. Gusein-Zade) ; arXiv: math/9906147 | DOI | MR | Zbl

[30] “Generalizations of Gordon theorem”, Regul. Chaotic Dyn., 7:3 (2002), 239–247 | DOI | MR | Zbl

[31] “Strong stability of an approximate fundamental mode of a nonlinear string equation”, Trans. Moscow Math. Soc., 2002, 151–217 | MR | Zbl

[32] “Long time stability in perturbations of completely resonant PDE's”, Act. Appl. Math., 70:1–3 (2002), 1–22 (with D. Bambusi) | DOI | MR | Zbl

[33] “Fractional monodromy of resonant classical and quantum oscillators”, C. R. Math. Acad. Sci. Paris, 335:11 (2002), 985–988 (with D. A. Sadovskii, B. I. Zhilinskii) | DOI | MR | Zbl

[34] “Types of integrability on a submanifold and generalizations of Gordon's theorem”, Trans. Moscow Math. Soc., 2005, 169–241 | MR

[35] “Fractional Hamiltonian monodromy”, Ann. Henri Poincaré, 7:6 (2006), 1099–1211 (with D. A. Sadovskií, B. I. Zhilinskií) | DOI | MR | Zbl

[36] “Fractional monodromy in the case of arbitrary resonances”, Sb. Math., 198:3 (2007), 383–424 | DOI | MR | Zbl

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

[38] Integrable quantum systems obtained by quantization, Preprint, Milan, 2008 (with M. Marino)

[39] A Liouville theorem for contact manifolds, Preprint, Milan, 2008 (with L. Pizzocchero)

[40] Monodromiya sloya s ostsillyatornoi osoboi tochkoi tipa $1{:}(-2)$, rukopis, 2008