Unified Filtered Operator Analysis of Experimental Chaos in Optically Injected Solid State Laser Systems

We apply the unified filtered operator to real experimental time series data obtained from optically injected solid state laser systems. Unlike classical differentiation, which is highly sensitive to noise and rapid chaotic transitions, the unified operator computes meaningful derivatives only within physically relevant, slow-varying regions. Using a published dataset [1], we show that the unified operator analysis robustly suppresses noise and reveals true dynamical structure, outperforming standard methods for chaotic laser systems.

Originality and AI-use statement:
This work is an original research output by Begüm Yıldırım. AI tools, if used, were limited to language refinement, grammar correction, formatting, translation assistance, and clarity improvement. The conceptual framework, research direction, interpretation, models, and conclusions belong to the author. External sources, datasets, or prior works are cited where applicable.