Measuring algorithmic complexity in chaotic lasers

ALEJANDRO HNILO, MARCELO KOVALSKY Y MÓNICA AGÜERO

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 2020

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 seriesare too short and noisy to apply Takens? reconstruction theorem. We measure the complexityin 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:YVO4 + Cr:YAG (?slow? saturable absorber) and Nd:YVO4 with modulated losses. We discuss how complexity characterizes the dynamics in an understandable wayin 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 inreal time.