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

被引：6

作者：

Barakat, Elsayed ^{[1
]}

Abdel-Aty, M. ^{[2
]}

El-Kalla, I. L. ^{[1
]}

机构：

[1] Mansoura Univ, Math & Engn Phys Dept, Fac Engn, Mansoura, Egypt

[2] Sohag Univ, Fac Sci, Math Dept, Sohag, Egypt

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 152卷

关键词：

Two-photon; Hyperchaos; Bifurcation; BIFURCATION-ANALYSIS; MODEL;

D O I：

10.1016/j.chaos.2021.111316

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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, quasiperi-odic, chaotic and hyperchaotic behaviors are obtained due to varying pumping parameter. The considered theoretical model illustrates the distinct dynamical regimes at various cases pumping. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：10

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