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math.DS2026
Isonormal potentials in one degree of freedom
Dmitry Treschev
We consider the Hamiltonian system with one degree of freedom with the smooth potential $V:{\ma…
math.DS2026
Integrable perturbations of polynomial Hamiltonian systems
Dmitry Treschev
We consider a Hamiltonian system on the symplectic space with a real-analytic Hamiltonian . We assume that…
math.DS2026
Combinatorics of Hamiltonian Normal Forms
Dmitry Treschev
We discuss algebraic and combinatorial aspects of the Hamiltonian normal form theory. The main objective is to describe the normal form near a singular point by an explicit formula…