Dynamical phase transitions in a parametrically modulated radio-frequency laser

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Abstract
In this contribution, we discuss dynamical phase-transition-like behavior in dynamical systems and give evidence for the occurrence of such effects in an experimental, parametrically modulated radio-frequency laser. We elucidate the connection between a generalized scaling behavior that depends on two scaling exponents, i.e., the fractal dimensions and the Lyapunov exponents, and the procedures available for the evaluation of scaling functions of Lyapunov exponents from experimental data.