| Hamiltonian systems with loops of a separatrix of a saddle-center LM Lerman Selecta Math. Sov 10 (1991), 297-306, 1991 | 111 | 1991 |
| 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 | 102* | 1987 |
| 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 | 75 | 1995 |
| Scientific heritage of LP Shilnikov VS Afraimovich, SV Gonchenko, LM Lerman, AL Shilnikov, DV Turaev Regular and Chaotic Dynamics 19, 435-460, 2014 | 65 | 2014 |
| 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 | 65* | 1994 |
| 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 | 64 | 1995 |
| Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects) LM Lerman, YL Umanskiy (No Title), 1998 | 60 | 1998 |
| Almost invariant elliptic manifold in a singularly perturbed Hamiltonian system V Gelfreich, L Lerman Nonlinearity 15 (2), 447, 2002 | 59 | 2002 |
| 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 | 48 | 1991 |
| 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 | 47 | 1998 |
| Homoclinical structures in nonautonomous systems: Nonautonomous chaos LM Lerman, LP Shil’nikov Chaos: An Interdisciplinary Journal of Nonlinear Science 2 (3), 447-454, 1992 | 47 | 1992 |
| Breakdown of symmetry in reversible systems LM Lerman, D Turaev Regular and Chaotic Dynamics 17, 318-336, 2012 | 36 | 2012 |
| 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 |
| 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 | 32 | 1992 |
| 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 | 32 | 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 | 30 | 1997 |
| On stability at the Hamiltonian Hopf bifurcation LM Lerman, AP Markova Regular and Chaotic Dynamics 14, 148-162, 2009 | 27 | 2009 |
| 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 | 26 | 2003 |
| Homoclinic structures in infinite-dimensional systems LM Lerman, LP Shil'nikov Siberian Mathematical Journal 29 (3), 408-417, 1988 | 24 | 1988 |
| Dynamical phenomena near a saddle-focus homoclinic connection in a Hamiltonian system LM Lerman Journal of Statistical Physics 101 (1), 357-372, 2000 | 23 | 2000 |
Vered Rom-KedarProfessor of Applied Mathematics, Weizmann InstituteVerified email at weizmann.ac.il
