Hyperchaotic and quasiperiodic behaviors of a two-photon laser with multi-intermediate states

Elsayed Barakat, M. Abdel-Aty and I.L. El-Kalla

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: In this paper, we discuss a new prospective of chaotic behaviors of a two-photon laser with multi-intermediate states. The generalized density matrix equations of the two-photon process with a cascade configuration are obtained. The nonlinear dynamics of the laser system is investigated using bifurcation diagrams and maximum Lyapunov exponent spectrum in addition to phase portraits. It is shown that the dynamics of the system is highly sensitive to any parameters’ change. Also, the non-symmetric two intermediate levels are investigated. Rich dynamical exhibitions of the system such as periodic, quasiperiodic, chaotic and hyperchaotic behaviors are obtained due to varying pumping parameter. The considered theoretical model illustrates the distinct dynamical regimes at various cases pumping.

Keywords: Two-photon; Hyperchaos; Bifurcation (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921006706
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006706

DOI: 10.1016/j.chaos.2021.111316

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().