L. M. Lerman, L. P. Shilnikov, “O klassifikatsii grubykh neavtonomnykh sistem vtorogo poryadka s konechnym chislom yacheek”, DAN SSSR, 209:3 (1973), 544–547
L. M. Lerman, L. P. Shilnikov, “Gomoklinicheskie struktury v beskonechnomernykh sistemakh”, Sib. matem. zhurn., 29:3 (1988), 408–417
G. L. Alfimov, V. M. Eleonsky, N. E. Kulagin, L. M. Lerman, V. P. Silin, “On existence of nontrivial solutions for the equation $\Delta u-u+u^3=0$”, Physica D, 44 (1990), 168–177
L. M. Lerman, L. P. Shil'nikov, “Homoclinical Structures in Nonautonomous Systems: Nonautonomous Chaos”, Chaos: Interdisc. J. Nonlinear Sci., 2:3, 447–454
L. Yu. Glebsky, L. M. Lerman, “On small stationary localized solutions for the generalized 1-D Swift–Hohenberg equation”, Chaos: Interdisc. J. Nonlin. Sci., 5:2 (1995), 424–431
L. Yu. Glebsky, L. M. Lerman, “Instability of small stationary localized solutions to a class of reversible 1+1 PDEs”, Nonlinearity, 10:2 (1997), 389–407
L. M. Lerman, “Homo- and heteroclinic orbits, hyperbolic subsets in a one-parameter unfolding of a Hamiltonian system with two saddle-foci”, Regular and Chaotic Dynamics, 2:3–4 (1997), 139–155
L. M. Lerman, Ya. L. Umanskiy, Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects), Translations of Mathematical Monographs, 176, AMS, Providence, RI, 1998
V. Gelfreich, L. M. Lerman, “Almost invariant elliptic manifold in a singularly perturbed Hamiltonian system”, Nonlinearity, 15 (2002), 447–457
V. Gelfreich, L. M. Lerman, “Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system”, Physica D, 176:3–4 (2003), 125–146
L. M. Lerman, O. Koltsova, A. Delshams, P. Gutierrez, “Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium”, Physica D: Nonlinear Phenomena, 201 (2005), 268–290
L. M. Lerman, “Remarks on skew products over irrational rotations”, International Journal of Bifurcation and Chaos, 15 (2005), 3675–3689
Nikolay E. Kulagin, Lev M. Lerman, Konstantin N. Trifonov, “Twin Heteroclinic Connections of Reversible Systems”, Regul. Chaotic Dyn., 29:1 (2024), 40–64
2.
E. A. Kudryavtseva, L. M. Lerman, “Bifurcations in integrable systems with three degrees of freedom — I”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024 (to appear)
3.
V. Z. Grines, L. M. Lerman, “Gradient-like diffeomorphisms and periodic vector fields”, Mosc. Math. J., 23:4 (2023), 533–544
4.
V. Z. Grines, L. M. Lerman, “Nonautonomous dynamics: classification, invariants, and implementation”, Differential and functional differential equations, CMFD, 68, no. 4, PFUR, M., 2022, 596–620
5.
V. Z. Grines, L. M. Lerman, “Nonautonomous vector fields on $S^3$: Simple dynamics and wild embedding of separatrices”, Theoret. and Math. Phys., 212:1 (2022), 903–917
6.
L. M. Lerman, K. N. Trifonov, “The Topology of Symplectic Partially Hyperbolic Automorphisms of the 4-Torus”, Math. Notes, 108:3 (2020), 462–464
7.
E. G. Galkina, C. E. Zaspel, B. A. Ivanov, N. E. Kulagin, L. M. Lerman, “Limiting velocity and dispersion law of domain walls in ferrimagnets close to the spin compensation point”, JETP Letters, 110:7 (2019), 481–486
8.
Trans. Moscow Math. Soc., 76:2 (2015), 271–299
9.
Vassili Gelfreich, Lev Lerman, “Separatrix Splitting at a Hamiltonian $0^2 i\omega$ Bifurcation”, Regul. Chaotic Dyn., 19:6 (2014), 635–655
Valentin S. Afraimovich, Sergey V. Gonchenko, Lev M. Lerman, Andrey L. Shilnikov, Dmitry V. Turaev, “Scientific Heritage of L.P. Shilnikov”, Regul. Chaotic Dyn., 19:4 (2014), 435–460
N. E. Kulagin, L. M. Lerman, “Localized solutions of a piecewise linear model of the stationary Swift–Hohenberg equation on the line and on the plane”, Journal of Mathematical Sciences, 202:5 (2014), 684–702
12.
L. M. Lerman, D. V. Turaev, “O bifurkatsiyakh poteri simmetrii v obratimykh sistemakh”, Nelineinaya dinam., 8:2 (2012), 323–343
N. E. Kulagin, L. M. Lerman, T. G. Shmakova, “On Radial Solutions of the Swift–Hohenberg Equation”, Proc. Steklov Inst. Math., 261 (2008), 183–203
16.
N. E. Kulagin, L. M. Lerman, T. G. Shmakova, “Fronts, traveling fronts, and their stability in the generalized Swift–Hohenberg equation”, Comput. Math. Math. Phys., 48:4 (2008), 659–676
17.
L. M. Lerman, “Partial normal form near a saddle of a Hamiltonian system”, Regul. Chaotic Dyn., 11:2 (2006), 291–297
18.
L. M. Lerman, “Homo- and heteroclinic orbits, hyperbolic subsets in a one-parameter unfolding of a Hamiltonian system with heteroclinic contour with two saddle-foci”, Regul. Chaotic Dyn., 2:3-4 (1997), 139–155
L. M. Lerman, Ya. L. Umanskii, “Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $\mathbb R^2$ in extended neighbourhoods of simple singular points. III. Realization”, Sb. Math., 186:10 (1995), 1477–1491
20.
L. M. Lerman, Ya. L. Umanskii, “Isoenergetic classification of integrable Hamiltonian systems in a neighborhood of a simple elliptic point”, Math. Notes, 55:5 (1994), 496–501
21.
L. M. Lerman, Ya. L. Umanskii, “Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $\mathbb{R}^2$ in extended neighborhoods of simple singular points. II”, Russian Acad. Sci. Sb. Math., 78:2 (1994), 479–506
22.
L. M. Lerman, Ya. L. Umanskii, “Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $\mathbb{R}^2$ in extended neighborhoods of simple singular points. I”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 511–542
23.
L. M. Lerman, L. P. Shil'nikov, “Homoclinical Structures in Nonautonomous Systems: Nonautonomous Chaos”, Chaos: Interdisc. J. Nonlinear Sci., 2:3 (1992), 447–454 (to appear)
G. L. Alfimov, V. M. Eleonskii, N. E. Kulagin, L. M. Lerman, V. P. Silin, “Three-dimensional optical structures described by the nonlinear Helmholtz equation”, Sov J Quantum Electron, 20:7 (1990), 865–866
25.
L. M. Lerman, “On the behaviour of a Hamiltonian system in a neighbourhood of the transversal homoclinic orbit of a saddle-focus”, Russian Math. Surveys, 44:2 (1989), 285–286
26.
L. M. Lerman, L. P. Shilnikov, “Homoclinic structures in infinite-dimensional systems”, Siberian Math. J., 29:3 (1988), 408–417
27.
L. M. Lerman, Ya. L. Umanskii, “Necessary conditions for the existence of heteroclinic trajectories in an integral Hamiltonian system with two degrees of freedom”, Russian Math. Surveys, 38:5 (1983), 150–151
28.
A. G. Vainshtein, L. M. Lerman, “Uniform structures and the equivalence of diffeomorphisms”, Math. Notes, 23:5 (1978), 407–414
29.
A. G. Vainshtein, L. M. Lerman, “Nonautonomous suspensions over diffeomorphisms, and the geometry of nearness”, Uspekhi Mat. Nauk, 31:5(191) (1976), 231–232
30.
L. M. Lerman, L. P. Shilnikov, “On the classification of structurally stable nonautonomous systems of second order with a finite number of cells”, Dokl. Akad. Nauk SSSR, 209:3 (1973), 544–547
Personalia
31.
O. N. Ageev, Ya. B. Vorobets, B. Weiss, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, L. S. Efremova, A. Yu. Zhirov, E. V. Zhuzhoma, B. S. Kashin, V. N. Kolokoltsov, A. V. Kochergin, L. M. Lerman, I. V. Mykytyuk, V. I. Oseledets, A. Yu. Plakhov, O. V. Pochinka, V. V. Ryzhikov, V. Zh. Sakbaev, A. G. Sergeev, Ya. G. Sinai, A. T. Tagi-Zade, S. V. Tikhonov, J.-P. Thouvenot, A. Ya. Helemskii, A. I. Shafarevich, “Anatolii Mikhailovich Stepin (obituary)”, Russian Math. Surveys, 77:2 (2022), 361–367
32.
O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomir, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476
33.
S. V. Gonchenko, E. V. Zhuzhoma, E. Ya. Gurevich, L. M. Lerman, O. V. Pochinka, V. F. Tishkin, I. I. Chuchaev, L. A. Sukharev, P. A. Shamanaev, R. V. Zhalnin, T. Ph. Mamedova, Zhurnal SVMO, 18:4 (2016), 168–171
34.
V. S. Afraimovich, L. A. Belyakov, V. V. Bykov, S. V. Gonchenko, L. M. Lerman, V. I. Lukyanov, M. I. Malkin, A. D. Morozov, D. V. Turaev, “Leonid Pavlovich Shilnikov (17.12.1934–26.12.2011)”, Nelineinaya dinam., 8:1 (2012), 183–186
35.
D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Russian Math. Surveys, 67:3 (2012), 573–577
36.
V. S. Afraimovich, L. M. Lerman, S. V. Gonchenko, “Leonid Pavlovich Shilnikov: K 75-letiyu so dnya rozhdeniya”, Nelineinaya dinam., 6:1 (2010), 5–22
37.
L. Lerman, “Breaking hyperbolicity for smooth symplectic toral diffeomorphisms”, Regul. Chaotic Dyn., 15:2-3 (2010), 194–209
S. V. Gonchenko, L. M. Lerman, D. V. Turaev, “Leonid Pavlovich Shilnikov. On his 70th birthday”, Regul. Chaotic Dyn., 11:2 (2006), 139–140; ; ; ; ; ; ; ; ; ; ; ; ;
40.
L. M. Lerman, O. Koltsova, A. Delshams, P. Gutierrez, “Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium”, Physica D: Nonlinear Phenomena, 201 (2005), 268–290
L. M. Lerman, Ya. L. Umanskiy, Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects), Translations of Mathematical Monographs, 176, AMS, Providence, RI, 1998 ;
45.
L. Yu. Glebsky, L. M. Lerman, “Instability of small stationary localized solutions to a class of reversible 1+1 PDEs”, Nonlinearity, 10:2 (1997), 389–407
L. Yu. Glebsky, L. M. Lerman, “On small stationary localized solutions for the generalized 1-D Swift–Hohenberg equation”, Chaos: Interdisc. J. Nonlin. Sci., 5:2 (1995), 424–431
G. L. Alfimov, V. M. Eleonsky, N. E. Kulagin, L. M. Lerman, V. P. Silin, “On existence of nontrivial solutions for the equation $\Delta u-u+u^3=0$”, Physica D, 44 (1990), 168–177
Hamiltonian homoclinic dynamics L. M. Lerman International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 09:30
Заседание посвящено памяти Дмитрия Викторовича Аносова A. M. Stepin, L. M. Lerman, V. Z. Grines, S. Yu. Pilyugin, M. I. Zelikin, V. P. Leksin, A. V. Klimenko, Yu. S. Ilyashenko Meetings of the Moscow Mathematical Society April 7, 2015
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