Controlling hyperchaos and synchronizing periodic states in the DOPO

Abstract

It has been found out that hyperchaotic behaviors can be controlled to enter periodicity state by modulating the detuned parameters in degenerated optical parameter oscillator (DOPO) with different periodic orbits from different modulation index at the same modulation frequency, or from different modulation frequency at the same modulation index. It was shown that the periodic orbits of the DOPOs modulated through sinusoid can be resulted in identical synchronization or inversed synchronization only in the case that the largest Lyapunov exponent exponent of the system is negative.