Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System
The present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. A non-autonomous discrete dynamical system has been framework using the series technique map method to elaborate the relationships between the non-autonomous discrete dynami...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_709869_287dbcc40525b6bf7f4c5d09b0eb1a46.pdf |
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| author | Renu Verma Ram Yadav |
| author_facet | Renu Verma Ram Yadav |
| author_sort | Renu Verma |
| collection | DOAJ |
| description | The present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. A non-autonomous discrete dynamical system has been framework using the series technique map method to elaborate the relationships between the non-autonomous discrete dynamical system in the original (crisp) system and its g-fuzzified system. More specially, for the considered non-autonomous discrete dynamical system, the relationship between transitivity, weakly mixing, periodic density, and sensitive dependence on initial conditions have been examined. |
| format | Article |
| id | doaj-art-1af314bf70d7493b87d2248ea07d27bd |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-1af314bf70d7493b87d2248ea07d27bd2025-02-11T05:27:30ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-01213213410.22130/scma.2023.2000135.1294709869Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical SystemRenu Verma0Ram Yadav1Department of Mathematics, B. N. MANDAL University, Madhepura, Bihar, 852113, India.Department of Mathematics, SRM University, Delhi- NCR, Sonepat 131029, India.The present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. A non-autonomous discrete dynamical system has been framework using the series technique map method to elaborate the relationships between the non-autonomous discrete dynamical system in the original (crisp) system and its g-fuzzified system. More specially, for the considered non-autonomous discrete dynamical system, the relationship between transitivity, weakly mixing, periodic density, and sensitive dependence on initial conditions have been examined.https://scma.maragheh.ac.ir/article_709869_287dbcc40525b6bf7f4c5d09b0eb1a46.pdfnon-autonomous discrete dynamical system$g$-fuzzificationzadeh's extensionperiodic densitytransitivitysensitive dependence on initial conditions |
| spellingShingle | Renu Verma Ram Yadav Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System Sahand Communications in Mathematical Analysis non-autonomous discrete dynamical system $g$-fuzzification zadeh's extension periodic density transitivity sensitive dependence on initial conditions |
| title | Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System |
| title_full | Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System |
| title_fullStr | Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System |
| title_full_unstemmed | Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System |
| title_short | Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System |
| title_sort | study of transitivity periodic density and sensitivity for chaotic non autonomous fuzzified dynamical system |
| topic | non-autonomous discrete dynamical system $g$-fuzzification zadeh's extension periodic density transitivity sensitive dependence on initial conditions |
| url | https://scma.maragheh.ac.ir/article_709869_287dbcc40525b6bf7f4c5d09b0eb1a46.pdf |
| work_keys_str_mv | AT renuverma studyoftransitivityperiodicdensityandsensitivityforchaoticnonautonomousfuzzifieddynamicalsystem AT ramyadav studyoftransitivityperiodicdensityandsensitivityforchaoticnonautonomousfuzzifieddynamicalsystem |