The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method
In this article, the behavior of hidden bifurcation in a two-dimensional (2D) scroll via saturated function series controlled by the coefficient harmonic linearization method is presented. A saturated function series approach for chaos generation. The systematic saturated function series methodicaln...
| Auteurs principaux: | , |
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| Format: | Article |
| Langue: | English |
| Publié: |
De Gruyter
2023-04-01
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| Collection: | Demonstratio Mathematica |
| Sujets: | |
| Accès en ligne: | https://doi.org/10.1515/dema-2022-0211 |
| _version_ | 1827953074948276224 |
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| author | Faiza Zaamoune Tidjani Menacer |
| author_facet | Faiza Zaamoune Tidjani Menacer |
| author_sort | Faiza Zaamoune |
| collection | DOAJ |
| description | In this article, the behavior of hidden bifurcation in a two-dimensional (2D) scroll via saturated function series controlled by the coefficient harmonic linearization method is presented. A saturated function series approach for chaos generation. The systematic saturated function series methodicalness improved here can make multi-scroll and grid scroll chaotic attractors from a 3D linear autonomous system with a plain saturated function series supervisor. We have used a hidden bifurcation method in grid scroll., where the method of hidden bifurcation presented by Menacer, et al. in (2016) for Chua multi-scroll attractors. This additional parameter, which is absent from the initial problem, is perfectly adapted to unfold the structure of the multispiral chaotic attractor. The novelty of this article is twofold: first, the saturated function series model for hidden bifurcation in a 2 – D scroll; and second, the control of hidden bifurcation behavior by the value of the harmonic coefficient k3{k}_{3}. |
| first_indexed | 2024-04-09T14:08:26Z |
| format | Article |
| id | doaj.art-1cc685a5748b4a069da2c16fcf939dba |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-09T14:08:26Z |
| publishDate | 2023-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-1cc685a5748b4a069da2c16fcf939dba2023-05-06T15:58:55ZengDe GruyterDemonstratio Mathematica2391-46612023-04-0156131131510.1515/dema-2022-0211The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization methodFaiza Zaamoune0Tidjani Menacer1Department of Mathematics, University Mohemed Khider Biskra, Biskra, AlgeriaDepartment of Mathematics, University Mohemed Khider Biskra, Biskra, AlgeriaIn this article, the behavior of hidden bifurcation in a two-dimensional (2D) scroll via saturated function series controlled by the coefficient harmonic linearization method is presented. A saturated function series approach for chaos generation. The systematic saturated function series methodicalness improved here can make multi-scroll and grid scroll chaotic attractors from a 3D linear autonomous system with a plain saturated function series supervisor. We have used a hidden bifurcation method in grid scroll., where the method of hidden bifurcation presented by Menacer, et al. in (2016) for Chua multi-scroll attractors. This additional parameter, which is absent from the initial problem, is perfectly adapted to unfold the structure of the multispiral chaotic attractor. The novelty of this article is twofold: first, the saturated function series model for hidden bifurcation in a 2 – D scroll; and second, the control of hidden bifurcation behavior by the value of the harmonic coefficient k3{k}_{3}.https://doi.org/10.1515/dema-2022-0211hidden bifurcationharmonic linearization2d scrollsaturated function series39a2139a2839a33 |
| spellingShingle | Faiza Zaamoune Tidjani Menacer The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method Demonstratio Mathematica hidden bifurcation harmonic linearization 2d scroll saturated function series 39a21 39a28 39a33 |
| title | The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method |
| title_full | The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method |
| title_fullStr | The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method |
| title_full_unstemmed | The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method |
| title_short | The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method |
| title_sort | behavior of hidden bifurcation in 2d scroll via saturated function series controlled by a coefficient harmonic linearization method |
| topic | hidden bifurcation harmonic linearization 2d scroll saturated function series 39a21 39a28 39a33 |
| url | https://doi.org/10.1515/dema-2022-0211 |
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