Dynamics and complexity of a new 4D chaotic laser system
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 inves...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/77897/ http://psasir.upm.edu.my/id/eprint/77897/1/77897.pdf |
| _version_ | 1848858356856389632 |
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| author | Kadhim, Hayder Natiq Md. Said, Mohamad Rushdan Al-Saidi, Nadia M. G. Kilicman, Adem |
| author_facet | Kadhim, Hayder Natiq Md. Said, Mohamad Rushdan Al-Saidi, Nadia M. G. Kilicman, Adem |
| author_sort | Kadhim, Hayder Natiq |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T12:12:09Z |
| format | Article |
| id | upm-77897 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:12:09Z |
| publishDate | 2019 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-778972020-05-04T17:37:29Z http://psasir.upm.edu.my/id/eprint/77897/ Dynamics and complexity of a new 4D chaotic laser system Kadhim, Hayder Natiq Md. Said, Mohamad Rushdan Al-Saidi, Nadia M. G. Kilicman, Adem 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. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/77897/1/77897.pdf 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 https://www.mdpi.com/1099-4300/21/1/34 10.3390/e21010034 |
| spellingShingle | Kadhim, Hayder Natiq Md. Said, Mohamad Rushdan Al-Saidi, Nadia M. G. Kilicman, Adem Dynamics and complexity of a new 4D chaotic laser system |
| title | Dynamics and complexity of a new 4D chaotic laser system |
| title_full | Dynamics and complexity of a new 4D chaotic laser system |
| title_fullStr | Dynamics and complexity of a new 4D chaotic laser system |
| title_full_unstemmed | Dynamics and complexity of a new 4D chaotic laser system |
| title_short | Dynamics and complexity of a new 4D chaotic laser system |
| title_sort | dynamics and complexity of a new 4d chaotic laser system |
| url | http://psasir.upm.edu.my/id/eprint/77897/ http://psasir.upm.edu.my/id/eprint/77897/ http://psasir.upm.edu.my/id/eprint/77897/ http://psasir.upm.edu.my/id/eprint/77897/1/77897.pdf |