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Dynamics and complexity of a new 4D chaotic laser system


Kadhim, Hayder Natiq and Md. Said, Mohamad Rushdan and Al-Saidi, Nadia M. G. and Kilicman, Adem (2019) Dynamics and complexity of a new 4D chaotic laser system. Entropy, 21 (1). art. no. 34. pp. 1-18. ISSN 1099-4300


Derived from Lorenz-Haken equations, this paper presents a new 4D chaotic laser system with three equilibria and only two quadratic nonlinearities. Dynamics analysis, including stability of symmetric equilibria and the existence of coexisting multiple Hopf bifurcations on these equilibria, are investigated, and the complex coexisting behaviors of two and three attractors of stable point and chaotic are numerically revealed. Moreover, a conducted research on the complexity of the laser system reveals that the complexity of the system time series can locate and determine the parameters and initial values that show coexisting attractors. To investigate how much a chaotic system with multistability behavior is suitable for cryptographic applications, we generate a pseudo-random number generator (PRNG) based on the complexity results of the laser system. The randomness test results show that the generated PRNG from the multistability regions fail to pass most of the statistical tests.

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Official URL or Download Paper: https://www.mdpi.com/1099-4300/21/1/34

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/e21010034
Publisher: MDPI
Keywords: Hopf bifurcation; Self-excited attractors; Multistability; Sample entropy; PRNG
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 17:37
Last Modified: 04 May 2020 17:37
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/e21010034
URI: http://psasir.upm.edu.my/id/eprint/77897
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