Hyperchaotic and quasiperiodic behaviors of a two-photon laser with multi-intermediate states

Abstract

Abstract In this paper, we discuss a new prospective of chaotic behaviors of a two-photon laser with multi-intermediate states. The generalized density matrix equations of the two-photon process with a cascade configuration are obtained. The nonlinear dynamics of the laser system is investigated using bifurcation diagrams and maximum Lyapunov exponent spectrum in addition to phase portraits. It is shown that the dynamics of the system is highly sensitive to any parameters’ change. Also, the non-symmetric two intermediate levels are investigated. Rich dynamical exhibitions of the system such as periodic, quasiperiodic, chaotic and hyperchaotic behaviors are obtained due to varying pumping parameter. The considered theoretical model illustrates the distinct dynamical regimes at various cases pumping.