8 citations · 32 across the 13 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.DS2020★ 3 cited
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…
nlin.CD2020★ 4 cited
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…
math.DS2020
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…