Synchronized modes of coupled oscillator system on liquid surface

In this article, a coupled oscillator system model was adopted, and its dynamics equations were numerically simulated with MATLAB．The initial conditions of the system determined the synchronization mode when the system reached steady state．Simulation on viscous resistance of liquid and quality of coupling plate showed that viscous resistance was positively correlated with probability of anti-phase synchronization, mass of coupling plate was negatively correlated with probability of anti-phase synchronization in steady state．In terms of relaxation time, it was found that average relaxation time of in-phase synchronization was slower than anti-phase synchronization．A coupled oscillator system was set up on the surface of the liquid, and three kinds of liquid with different viscosity coefficients, water, salt water with a concentration of 10% and cooking oil, were used．Experimental results are qualitatively consistent with numerical simulations．