Route to chaos in a whispering gallery mode coupled opto-mechanical system

In opto-mechanical systems, the nonlinearity caused by radiation pressure can lead to chaos and other abundant dynamical phenomena. Chaos is an important branch of nonlinear dynamics, routes from order in various systems are research focus for academics. this paper, we investigate chaotic dynamics a system consisting two evanescently coupled identical cavity subsystems, which optical fields whispering gallery modes. thoroughly transition our system, utilize bifurcation diagram, Lyapunov exponents phase space trajectories characterize properties. It found that coupling strength between subsystems factor determining dynamic behaviors. There is, period-doubling quasiperiodic transition, they correspond cases strong weak respectively. The results also show synchronization oscillations take place case coupling. situation, exactly same manipulation equivalent tune frequency detuning their corresponding driving fields. As result, behaves as single thus be realized one increases strength. coupling, no longer synchronized unfold eight-dimensional space. limit cycles experience Hopf bifurcation, leads appearance toric attractor. Under certain range parameters, i.e., appropriate detunings, two-dimensional torus becomes unstable with increment strength, into occurs system.