Measuring algorithmic complexity in chaotic lasers

MARCELO G. KOVALSKY; MÓNICA B. AGÜERO; CARLOS BONAZZOLA; ALEJANDRO. A. HNILO

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 2020 vol. 30 p. 2050057 - 2050057

0218-1274

Thanks to the simplicity and robustness of its calculation methods, algorithmic (or Kolmogorov) complexity appears as a useful tool to reveal chaotic dynamics when experimental time series are too short and noisy to apply Takens´ reconstruction theorem. We measure the complexity in chaotic regimes, with and without extreme events (sometimes called optical rogue waves), of three different all-solid-state lasers: Kerr lens mode locking femtosecond Ti:Sapphire (``fast´´ saturable absorber), Nd:YVO_{4} + Cr:YAG (``slow´´ saturable absorber) and Nd:YVO_{4} with modulated losses. We discuss how complexity characterizes the dynamics in an understandable way in all cases, and how it provides a correction factor of predictability given by Lyapunov exponents. This approach may be especially convenient to implement schemes of chaos control in real time.