An exactly solvable $\mathcal{P}\mathcal{T}$-symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss

I V Barashenkov, Mariagiovanna Gianfreda

We show that a pair of coupled nonlinear oscillators, of which one oscillator has positive and the other one negative damping of equal rate, can form a Hamiltonian system. Small-am…