3 citations · 3 across the 3 of their papers we have counts for
6 papers
Saddle-center and periodic orbit: dynamics near symmetric heteroclinic connection
L. M. Lerman, K. N. Trifonov
An analytic reversible Hamiltonian system with two degrees of freedom is studied in a neighborhood of its symmetric heteroclinic connection made up of a symmetric saddle-center, a…
Solitons and cavitons in a nonlocal Whitham equation
N. Kulagin, L. Lerman, A. Malkin
Solitons and cavitons (localized solutions with singularities) for the nonlocal Whitham equations are studied. The equation of a fourth order with a parameter in front of fourth de…
Geometry of symplectic partially hyperbolic automorphisms on 4-torus
L. M. Lerman, K. N. Trifonov
We study topological properties of automorphisms of 4-dimensional torus generated by integer symplectic matrices. The main classifying element is the structure of the topology of a…
Abundance of entire solutions to nonlinear elliptic equations by the variational method
L. M. Lerman, P. E. Naryshkin, A. I. Nazarov
We study entire bounded solutions to the equation in . Our approach is purely variational and is based on concentration arguments and symmetry consi…
On interrelations between divergence-free and Hamiltonian dynamics
L. Lerman, E. Yakovlev
A mathematically correct description is presented on the interrelations between the dynamics of divergence free vector fields on an oriented 3-dimensional manifold and the dyna…
Nonautonomous gradient-like ODEs on the circle: classification, structural stability and autonomization
L. M. Lerman, E. V. Gubina
We study a class of scalar differential equations on the circle . This class is characterized mainly by the property that any solution of such an equation possesses exponentia…