A new efficient technique for solving modified Chua’s circuit model with a new fractional operator
Abstract Chua’s circuit is an electronic circuit that exhibits nonlinear dynamics. In this paper, a new model for Chua’s circuit is obtained by transforming the classical model of Chua’s circuit into novel forms of various fractional derivatives. The new obtained system is then named fractional Chua...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-020-03175-x |
| _version_ | 1818953207023403008 |
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| author | Manuel De la Sen Sinan Deniz Hasan Sözen |
| author_facet | Manuel De la Sen Sinan Deniz Hasan Sözen |
| author_sort | Manuel De la Sen |
| collection | DOAJ |
| description | Abstract Chua’s circuit is an electronic circuit that exhibits nonlinear dynamics. In this paper, a new model for Chua’s circuit is obtained by transforming the classical model of Chua’s circuit into novel forms of various fractional derivatives. The new obtained system is then named fractional Chua’s circuit model. The modified system is then analyzed by the optimal perturbation iteration method. Illustrations are given to show the applicability of the algorithms, and effective graphics are sketched for comparison purposes of the newly introduced fractional operators. |
| first_indexed | 2024-12-20T10:02:36Z |
| format | Article |
| id | doaj.art-0c1ba125c0674f8d929dc6e745a6390f |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T10:02:36Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-0c1ba125c0674f8d929dc6e745a6390f2022-12-21T19:44:18ZengSpringerOpenAdvances in Difference Equations1687-18472021-01-012021111610.1186/s13662-020-03175-xA new efficient technique for solving modified Chua’s circuit model with a new fractional operatorManuel De la Sen0Sinan Deniz1Hasan Sözen2Department of Electricity and Electronics, Faculty of Science and Technology, Institute of Research and Development of Processes—IIDP, University of the Basque Country—UPV/EHUDepartment of Mathematics, Faculty of Art and Sciences, Manisa Celal Bayar UniversityDepartment of Electrical and Electronics Engineering, Faculty of Engineering, Manisa Celal Bayar UniversityAbstract Chua’s circuit is an electronic circuit that exhibits nonlinear dynamics. In this paper, a new model for Chua’s circuit is obtained by transforming the classical model of Chua’s circuit into novel forms of various fractional derivatives. The new obtained system is then named fractional Chua’s circuit model. The modified system is then analyzed by the optimal perturbation iteration method. Illustrations are given to show the applicability of the algorithms, and effective graphics are sketched for comparison purposes of the newly introduced fractional operators.https://doi.org/10.1186/s13662-020-03175-xOptimal perturbation iteration methodFractional Chua’s circuit modelCaputoCaputo–FabrizioAtangana–Baleanu |
| spellingShingle | Manuel De la Sen Sinan Deniz Hasan Sözen A new efficient technique for solving modified Chua’s circuit model with a new fractional operator Advances in Difference Equations Optimal perturbation iteration method Fractional Chua’s circuit model Caputo Caputo–Fabrizio Atangana–Baleanu |
| title | A new efficient technique for solving modified Chua’s circuit model with a new fractional operator |
| title_full | A new efficient technique for solving modified Chua’s circuit model with a new fractional operator |
| title_fullStr | A new efficient technique for solving modified Chua’s circuit model with a new fractional operator |
| title_full_unstemmed | A new efficient technique for solving modified Chua’s circuit model with a new fractional operator |
| title_short | A new efficient technique for solving modified Chua’s circuit model with a new fractional operator |
| title_sort | new efficient technique for solving modified chua s circuit model with a new fractional operator |
| topic | Optimal perturbation iteration method Fractional Chua’s circuit model Caputo Caputo–Fabrizio Atangana–Baleanu |
| url | https://doi.org/10.1186/s13662-020-03175-x |
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