Coherent motion of chaotic attractors
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2017 |
| Outros Autores: | , , , , |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.96.042210 http://hdl.handle.net/11449/175429 |
Resumo: | We report a simple model of two drive-response-type coupled chaotic oscillators, where the response system copies the nonlinearity of the driver system. It leads to a coherent motion of the trajectories of the coupled systems that establishes a constant separating distance in time between the driver and the response attractors, and their distance depends upon the initial state. The coupled system responds to external obstacles, modeled by short-duration pulses acting either on the driver or the response system, by a coherent shifting of the distance, and it is able to readjust their distance as and when necessary via mutual exchange of feedback information. We confirm these behaviors with examples of a jerk system, the paradigmatic Rössler system, a tunnel diode system and a Josephson junction-based jerk system, analytically, to an extent, and mostly numerically. |
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Coherent motion of chaotic attractorsWe report a simple model of two drive-response-type coupled chaotic oscillators, where the response system copies the nonlinearity of the driver system. It leads to a coherent motion of the trajectories of the coupled systems that establishes a constant separating distance in time between the driver and the response attractors, and their distance depends upon the initial state. The coupled system responds to external obstacles, modeled by short-duration pulses acting either on the driver or the response system, by a coherent shifting of the distance, and it is able to readjust their distance as and when necessary via mutual exchange of feedback information. We confirm these behaviors with examples of a jerk system, the paradigmatic Rössler system, a tunnel diode system and a Josephson junction-based jerk system, analytically, to an extent, and mostly numerically.São Paulo State University (UNESP) Instituto de Física Teórica, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IILaboratory of Electronics and Signal Processing Faculty of Science Department of Physics University of Dschang, P.O. Box 67Dumkal Institute of Engineering and TechnologyDepartment of Instrumentation and Electronics Engineering Jadavpur UniversityInstitute of Surface Chemistry and Catalysis University of Ulm, Albert-Einstein-Allee 47Department of Physics Bharathidasan UniversityDepartment of Mathematics Jadavpur UniversityCentre for Complex System Research KolkataSão Paulo State University (UNESP) Instituto de Física Teórica, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IIUniversidade Estadual Paulista (Unesp)University of DschangDumkal Institute of Engineering and TechnologyJadavpur UniversityUniversity of UlmBharathidasan UniversityCentre for Complex System Research KolkataLouodop, Patrick [UNESP]Saha, SumanTchitnga, RobertMuruganandam, PaulsamyDana, Syamal K.Cerdeira, Hilda A. [UNESP]2018-12-11T17:15:47Z2018-12-11T17:15:47Z2017-10-18info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1103/PhysRevE.96.042210Physical Review E, v. 96, n. 4, 2017.2470-00532470-0045http://hdl.handle.net/11449/17542910.1103/PhysRevE.96.0422102-s2.0-850328534572-s2.0-85032853457.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E0,9790,979info:eu-repo/semantics/openAccess2023-12-24T06:13:44Zoai:repositorio.unesp.br:11449/175429Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-24T06:13:44Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Coherent motion of chaotic attractors |
| title |
Coherent motion of chaotic attractors |
| spellingShingle |
Coherent motion of chaotic attractors Louodop, Patrick [UNESP] |
| title_short |
Coherent motion of chaotic attractors |
| title_full |
Coherent motion of chaotic attractors |
| title_fullStr |
Coherent motion of chaotic attractors |
| title_full_unstemmed |
Coherent motion of chaotic attractors |
| title_sort |
Coherent motion of chaotic attractors |
| author |
Louodop, Patrick [UNESP] |
| author_facet |
Louodop, Patrick [UNESP] Saha, Suman Tchitnga, Robert Muruganandam, Paulsamy Dana, Syamal K. Cerdeira, Hilda A. [UNESP] |
| author_role |
author |
| author2 |
Saha, Suman Tchitnga, Robert Muruganandam, Paulsamy Dana, Syamal K. Cerdeira, Hilda A. [UNESP] |
| author2_role |
author author author author author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) University of Dschang Dumkal Institute of Engineering and Technology Jadavpur University University of Ulm Bharathidasan University Centre for Complex System Research Kolkata |
| dc.contributor.author.fl_str_mv |
Louodop, Patrick [UNESP] Saha, Suman Tchitnga, Robert Muruganandam, Paulsamy Dana, Syamal K. Cerdeira, Hilda A. [UNESP] |
| description |
We report a simple model of two drive-response-type coupled chaotic oscillators, where the response system copies the nonlinearity of the driver system. It leads to a coherent motion of the trajectories of the coupled systems that establishes a constant separating distance in time between the driver and the response attractors, and their distance depends upon the initial state. The coupled system responds to external obstacles, modeled by short-duration pulses acting either on the driver or the response system, by a coherent shifting of the distance, and it is able to readjust their distance as and when necessary via mutual exchange of feedback information. We confirm these behaviors with examples of a jerk system, the paradigmatic Rössler system, a tunnel diode system and a Josephson junction-based jerk system, analytically, to an extent, and mostly numerically. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017-10-18 2018-12-11T17:15:47Z 2018-12-11T17:15:47Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevE.96.042210 Physical Review E, v. 96, n. 4, 2017. 2470-0053 2470-0045 http://hdl.handle.net/11449/175429 10.1103/PhysRevE.96.042210 2-s2.0-85032853457 2-s2.0-85032853457.pdf |
| url |
http://dx.doi.org/10.1103/PhysRevE.96.042210 http://hdl.handle.net/11449/175429 |
| identifier_str_mv |
Physical Review E, v. 96, n. 4, 2017. 2470-0053 2470-0045 10.1103/PhysRevE.96.042210 2-s2.0-85032853457 2-s2.0-85032853457.pdf |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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Physical Review E 0,979 0,979 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
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Universidade Estadual Paulista (UNESP) |
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UNESP |
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UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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