Multistable ghost attractors in a switching laser system

Year: 2023

Authors: Sriram G., Parastesh F., Natiq H., Rajagopal K., Meucci R., Jafari S.

Autors Affiliation: Chennai Inst Technol, Ctr Computat Modelling, Chennai 600069, India; Chennai Inst Technol, Ctr Nonlinear Syst, Chennai 600069, India; Imam Jaafar Al Sadiq Univ, Coll Informat Technol, Dept Comp Technol Engn, Baghdad, Iraq; Chandigarh Univ, Dept Elect & Commun Engn, Mohali 140413, Punjab, India; Chandigarh Univ, Univ Ctr Res & Dev, Mohali 140413, Punjab, India; Ist Nazl Ott CNR, Largo E Fermi 6, I-50125 Florence, Italy; Amirkabir Univ Technol, Tehran Polytech, Dept Biomed Engn, Tehran 1591634311, Iran; Amirkabir Univ Technol, Tehran Polytech, Hlth Technol Res Inst, Tehran 1591634311, Iran.

Abstract: This paper studies the effects of a switching parameter on the dynamics of a multistable laser model. The laser model represents multistability in distinct ranges of parameters. We assume that the system’s parameter switches periodically between different values. Since the system is multistable, the presence of a ghost attractor is also dependent on the initial condition. It is shown that when the composing subsystems are chaotic, a periodic ghost attractor can emerge and vice versa, depending on the initial conditions. In contrast to the previous studies in which the attractor of the fast blinking systems approximates the average attractor, here, the blinking attractor differs from the average in some cases. It is shown that when the switching parameter values are distant from their average, the blinking and the average attractors are different, and as they approach, the blinking attractor approaches the average attractor too.

Journal/Review: CHAOS

Volume: 33 (11)      Pages from: 113119-1  to: 113119-7

More Information: This work was partially funded by Centre for Nonlinear Systems, Chennai Institute of Technology, India, vide Funding No. CIT/CNS/2023/RP/002.
KeyWords: Dynamics; Synchronization; Networks; Model
DOI: 10.1063/5.0174028

Citations: 3
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