127 citations · 1.2k across the 69 of their papers we have counts for
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math-ph2019★ 10 cited
Breathing modes, quartic nonlinearities and effective resonant systems
Oleg Evnin
A breathing mode in a Hamiltonian system is a function on the phase space whose evolution is exactly periodic for all solutions of the equations of motion. Such breathing modes are…
math-ph2019★ 14 cited
Complex plane representations and stationary states in cubic and quintic resonant systems
Anxo Biasi, Piotr Bizon, Oleg Evnin
Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems. In a previous article, we have construc…
cond-mat.quant-gas2019★ 14 cited
Energy level splitting for weakly interacting bosons in a harmonic trap
Ben Craps, Marine De Clerck, Oleg Evnin +1
We consider identical quantum bosons with weak contact interactions in a two-dimensional isotropic harmonic trap. When the interactions are turned off, the energy levels are equidi…