Time Scales of a Chaotic Semiconductor Laser With Optical Feedback Under the Lens of a Permutation Information Analysis

• Published in: IEEE journal of quantum electronics Vol. 47; no. 2; pp. 252 - 261
• Main Authors: Soriano, M C, Zunino, L, Rosso, O A, Fischer, I, Mirasso, C R
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.02.2011; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Chaos; Chaos theory; Complexity; Complexity theory; Delay; Delay effects; Dynamical systems; Dynamics; Entropy; Laser feedback; Optical feedback; permutation entropy; permutation statistical complexity; Permutations; Semiconductor lasers; time scale identification; Time series analysis
• ISSN: 0018-9197; 1558-1713
• DOI: 10.1109/JQE.2010.2078799

We analyze the intrinsic time scales of the chaotic dynamics of a semiconductor laser subject to optical feedback by estimating quantifiers derived from a permutation information approach. Based on numerically and experimentally obtained times series, we find that permutation entropy and permutation statistical complexity allow the extraction of important characteristics of the dynamics of the system. We provide evidence that permutation statistical complexity is complementary to permutation entropy, giving valuable insights into the role of the different time scales involved in the chaotic regime of the semiconductor laser dynamics subject to delay optical feedback. The results obtained confirm that this novel approach is a conceptually simple and computationally efficient method to identify the characteristic time scales of this relevant physical system.