Synchronization Dynamics of Coupled Anharmonic Plasma Oscillators

The synchronization of two identical mutually driven coupled plasma oscillators modeled by anharmonic oscillators was investigated. Each plasma oscillator was described by a nonlinear differential equation of the form: $\ddot{x} + \epsilon (1 + x^2)\dot{x} + x + \kappa x^2 + \delta x^3 = F \cdot \cos(\omega t)$. The model employed the spring-type coupling. Numerical simulations, including Poincar\'{e} sections, time series analysis, and bifurcation diagram were performed using the fourth-order Runge-Kutta scheme. The numerical value of the threshold coupling K$_{th}$ was determined to be approximately 0.15.