Chaotic Dynamics of a Nonlinear Ring Cavity Driven by an External Multi-frequency Signal

TL;DR

This paper investigates the complex chaotic behavior of a nonlinear ring cavity driven by multi-frequency signals, using coupled Ikeda maps to model the dynamics and presenting numerical simulation results.

Contribution

It introduces a new model using coupled Ikeda maps for a nonlinear ring cavity driven by multi-frequency signals and explores its complex dynamics.

Findings

Complex dynamics observed in simulations.

Chaotic behavior influenced by multi-frequency driving.

Model applicable to other nonlinear resonator systems.

Abstract

Complex dynamics of a ring cavity filled by the medium with cubic phase non-linearity driven by an external multi-frequency signal is studied. To describe the dynamics of envelope amplitudes the system of coupled Ikeda maps was derived. The results of numerical simulations in the case of two-frequency external signal are presented. Complex dynamics observed in these numerical simulations is expected to be peculiar for other physical systems that can be treated as nonlinear resonators driven by an external force.