In this paper, we have proposed wave algorithm for manipulating energy transfer between globally coupled two harmonic oscillators with internal resonance by intermittent perfect elastic impacts at balanced point. When the temporal interval of the impacts, Δt, is the same of the periodic time, 2π, the coupled oscillators exchange their energies slowly and periodically. Its periodicity depends on the ratio between the mass of the oscillators. By skipping an impact, we can reverse the direction of energy flow. And by skipping an impact in every 2nπ period, the system shows 4nπ-periodic recurrence phenomena. By controlling the intermittent of the impacts, we can keep maximizing or minimizing the amplitude of one certain oscillator. We can analytically explain these phenomena from the combinations of unitary operators under wave algorithm. Moreover, under the periodic 2π impacts, the system shows periodic recurrence phenomena, only when the rational ratio between the mass of two coupled oscillators, γ =1, 1/3 or 3; otherwise, it shows strictly ergodic behavior in velocity space.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.