3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…