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nlin.SI2026
A note on the integrability status of a 'mysterious' case of a quadratic Hamiltonian
Ognyan Christov
We present a simple algebraic proof of meromorphic non-integrability of a 'mysterious' case of a quadratic Hamiltonian studied by Sokolov and Wolf. The result is obtained by applyi…
nlin.SI2026
Semi-global symplectic invariant of the champagne bottle
Ognyan Christov
We study a two degrees of freedom Hamiltonian system describing the motion of a particle in a potential field of the form of symmetric double well, namely $V = - (x_1^2 + x_2…