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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
Integrability versus topology of configuration manifolds and domains of possible motions
M. Rudnev, V. Ten
We establish a generic sufficient condition for a compact -dimensional manifold bearing an integrable geodesic flow to be the -torus. As a complementary result, we show that…
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…