Nonlinear dynamics and synchronization of saline oscillator’s model

• A model of saline oscillator is derived and tested through numerical simulations.
• Interaction between globally coupled saline oscillators is modeled.
• Dependence of coupling coefficients on physical parameters is brought out.
• Synchronization behaviors are studied using the model equations.

The Okamura model equation of saline oscillator is refined into a non-autonomous ordinary differential equation whose coefficients are related to physical parameters of the system. The dependence of the oscillatory period and amplitude on remarkable physical parameters are computed and compared to experimental results in order to test the model. We also model globally coupled saline oscillators and bring out the dependence of coupling coefficients on physical parameters of the system. We then study the synchronization behaviors of coupled saline oscillators by the mean of numerical simulations carried out on the model equations. These simulations agree with previously reported experimental results.