Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance

Efficient energy transfer often occurs between oscillation modes in a resonator when they are tuned to internal resonance. We design the eigenfrequencies of two vibrational an electromechanical be close ratio 3:1 and demonstrate that supplied upper mode can controllably transferred lower mode. With vibrating with period tripled mode, discrete time-translation symmetry imposed by periodic drive is broken. The settles into one three stable period-tripled states different phases. This channel for from turned on or off without changing system parameters. When itself becomes multistable under strong resonant parametric drive, additional sets coexisting emerge In latter case, we measure total 6 vibration identical amplitude but phases differing $\pi$/3. Excitation could open new opportunities designing mechanical memory based ternary logic. Coupled resonators also used model complex interacting systems spin equals one.