In a magnetized plasma, particles may simultaneously be in resonance with two waves with essentially different frequencies and wave vectors. Such a situation is studied by an example of parallel propagating whistler-mode wave and highly oblique lower hybrid resonance wave. Depending on the relations between wave amplitudes and the distance between resonances in velocity space, particle dynamics varies considerably, and has different statistical properties. For well separated resonant regions related to each wave, the two wave problem is almost decoupled. When the resonant regions overlap, the particle motion becomes stochastic inside a bounded region of the phase space. The most striking effect happens when the resonance velocities are very close, and a phase trapping, typical of one wave problem, occurs. In the case of two waves, however, this trapping is asymmetric and leads to a monotonic or quasi-monotonic variation of particle momenta on a time scale much larger than the nonlinear period. The statistical characteristics of particle dynamics in the last two cases and possible applications to space plasmas are discussed.