Hamiltonian systems with loops of a separatrix of a saddle-center LM Lerman
Selecta Math. Sov 10 (1991), 297-306, 1991
101 1991 On small stationary localized solutions for the generalized 1‐D Swift–Hohenberg equation LY Glebsky, LM Lerman
Chaos: An Interdisciplinary Journal of Nonlinear Science 5 (2), 424-431, 1995
66 1995 Periodic and homoclinic orbits in a two-parameter unfolding of a Hamiltonian system with a homoclinic orbit to a saddle-center OY Koltsova, LM Lerman
International Journal of Bifurcation and Chaos 5 (02), 397-408, 1995
59 1995 Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects) LM Lerman, YL Umanskiy
American Mathematical Society, 1998
56 1998 Almost invariant elliptic manifold in a singularly perturbed Hamiltonian system V Gelfreich, L Lerman
Nonlinearity 15 (2), 447, 2002
50 2002 Structure of the Poisson action of R2 on a four-dimensional symplectic manifold LM Lerman, YL Umanskij
I. Selecta Math. Soviet 6 (4), 365-396, 1987
49 1987 Scientific heritage of LP Shilnikov VS Afraimovich, SV Gonchenko, LM Lerman, AL Shilnikov, DV Turaev
Regular and Chaotic Dynamics 19 (4), 435-460, 2014
44 2014 Solitary wave solutions of nonlocal sine-Gordon equations GL Alfimov, VM Eleonsky, LM Lerman
Chaos: An Interdisciplinary Journal of Nonlinear Science 8 (1), 257-271, 1998
42 1998 On the existence of separatrix loops in four-dimensional systems similar to the integrable Hamiltonian systems LM Lerman, IL Umanskii
Journal of Applied Mathematics and Mechanics 47 (3), 335-340, 1983
42 1983 Complex dynamics and bifurcations in a Hamiltonian system having a transversal homoclinic orbit to a saddle focus LM Lerman
Chaos: An Interdisciplinary Journal of Nonlinear Science 1 (2), 174-180, 1991
41 1991 Homoclinical structures in nonautonomous systems: Nonautonomous chaos LM Lerman, LP Shil’nikov
Chaos: An Interdisciplinary Journal of Nonlinear Science 2 (3), 447-454, 1992
40 1992 Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of in extended neighborhoods of simple singular points. I LM Lerman, YL Umanskiĭ
Sbornik: Mathematics 77 (2), 511, 1994
37 1994 Families of transverse Poincare homoclinic orbits in 2N-dimensional Hamiltonian systems close to the system with a loop to a saddle-center OY Koltsova, LM Lerman
International Journal of Bifurcation and Chaos 6 (06), 991-1006, 1996
34 1996 On existence of nontrivial solutions for the equation Δu− u+ u3= 0 GL Alfimov, VM Eleonsky, NE Kulagin, LM Lerman, VP Silin
Physica D: Nonlinear Phenomena 44 (1-2), 168-177, 1990
28 1990 Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation LA Belyakov, LY Glebsky, LM Lerman
Computers & Mathematics with Applications 34 (2-4), 253-266, 1997
25 1997 Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of in extended neighborhoods of simple singular points. I LM Lerman, YL Umanskii
Matematicheskii Sbornik 183 (12), 141-176, 1992
25 1992 Breakdown of symmetry in reversible systems LM Lerman, D Turaev
Regular and Chaotic Dynamics 17 (3), 318-336, 2012
24 2012 Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system V Gelfreich, L Lerman
Physica D: Nonlinear Phenomena 176 (3-4), 125-146, 2003
24 2003 On stability at the Hamiltonian Hopf bifurcation LM Lerman, AP Markova
Regular and Chaotic Dynamics 14 (1), 148-162, 2009
18 2009 Homo-and heteroclinic orbits, hyperbolic subsets in a one-parameter unfolding of a Hamiltonian system with heteroclinic contour with two saddle-foci LM Lerman
Regular and Chaotic Dynamics 2 (3-4), 139-155, 1997
17 1997