Simulation of particle forced oscillations in nonlinear force field

Computer simulation of charged particle oscillations in potential well with nonlinear force field xx was realized. Calculations of particle trajectory and noise frequency dependence were fulfilled. Period doubling and tripling bifurcations were found. It was shown that noise intensity was maximal in the bifurcation points. Two kinds of particle vibrations with minimum noise intensity were also discovered. The method of evaluation of particle normal mode period based on the noise spectrum maximum positions was suggested.