01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
02.10.1946
E-mail:
, ,
Keywords:
hamiltonian systems; theory of perturbation; classical and celestial mechanics; integrable Hamiltonian systems; invariant isotropic tori; integrability on submanifolds; dynamical systems; semiclassical approximations; theory of singularities.
Main publications:
D. Bambusi, N. N. Nekhoroshev. A property of exponential stability in nonlinear wave equations near the fundamental linear mode // Physica D, Elsevier Scince, Amsterdam, 1998, ò. 122, 73–104.
S. M. Gusein-Zade, N. N. Nekhoroshev, “Singularities of Type $A_k$ on Plane Curves of a Chosen Degree”, Funktsional. Anal. i Prilozhen., 34:3 (2000), 69–70; Funct. Anal. Appl., 34:3 (2000), 214–215
N. N. Nekhoroshev, “Exponential Stability of the Approximate Principal Mode of the Nonlinear Wave Equation”, Funktsional. Anal. i Prilozhen., 33:1 (1999), 80–83; Funct. Anal. Appl., 33:1 (1999), 69–71
I. K. Babenko, N. N. Nekhoroshev, “On complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral”, Mat. Zametki, 58:5 (1995), 643–652; Math. Notes, 58:5 (1995), 1129–1135
N. N. Nekhoroshev, “The Poincaré–Lyapunov–Liouville–Arnol'd Theorem”, Funktsional. Anal. i Prilozhen., 28:2 (1994), 67–69; Funct. Anal. Appl., 28:2 (1994), 128–129
B. Valigno, S. Yu. Dobrokhotov, N. N. Nekhoroshev, “The complex germ in systems with one cyclic variable”, Uspekhi Mat. Nauk, 39:3(237) (1984), 233–234; Russian Math. Surveys, 39:3 (1984), 219–220
S. M. Gusein-Zade, N. N. Nekhoroshev, “Contiguity of $A_k$-singularities at points of the stratum $\mu=\operatorname{const}$ of a singularity”, Funktsional. Anal. i Prilozhen., 17:4 (1983), 82–83; Funct. Anal. Appl., 17:4 (1983), 312–313
N. N. Nekhoroshev, “An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems”, Uspekhi Mat. Nauk, 32:6(198) (1977), 5–66; Russian Math. Surveys, 32:6 (1977), 1–65
N. N. Nekhoroshev, “Stable lower estimates for smooth mappings and for gradients of smooth function”, Mat. Sb. (N.S.), 90(132):3 (1973), 432–478; Math. USSR-Sb., 19:3 (1973), 425–467
N. N. Nekhoroshev, “Behavior of Hamiltonian systems close to integrable”, Funktsional. Anal. i Prilozhen., 5:4 (1971), 82–83; Funct. Anal. Appl., 5:4 (1971), 338–339