5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DS2005★ 5 cited
On inverse problem of dynamics
M. Rudnev, V. Ten
We study the question whether for a natural Hamiltonian system on a two-dimensional compact configuration manifold, a single trajectory of sufficiently high energy is almost surely…
math.DS2005
A model for separatrix splitting near multiple resonances
M. Rudnev, V. Ten
We propose a model for local dynamics of a perturbed convex real-analytic Liouville-integrable Hamiltonian system near a resonance of multiplicity . Physically, the m…
math.CO2003
On combinatorial compexity of convex sequences
A. Iosevich, M. Rudnev, V. Ten
We obtain a good upper bound on the number of solutions of a diophantine equation arising from a strictly convex sequences of real numbers.