Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit
This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memristor-based Chua circuits modeled by two nonlinear integer-order and fractional-order systems. First, a hyperchaotic memristor-based Chua circuit is suggested, and its dynamics are explored using diffe...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2022-12-01
|
| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/25 |
| _version_ | 1797894972933931008 |
|---|---|
| author | Nadjet Boudjerida Mohammed Salah Abdelouahab René Lozi |
| author_facet | Nadjet Boudjerida Mohammed Salah Abdelouahab René Lozi |
| author_sort | Nadjet Boudjerida |
| collection | DOAJ |
| description | This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memristor-based Chua circuits modeled by two nonlinear integer-order and fractional-order systems. First, a hyperchaotic memristor-based Chua circuit is suggested, and its dynamics are explored using different tools, including stability theory, phase portraits, Lyapunov exponents, and bifurcation diagrams. Another interesting property of this circuit was the coexistence of attractors and the appearance of mixed-mode oscillations. It has been shown that one can achieve MPS with integer-order and incommensurate fractional-order memristor-based Chua circuits. Finally, examples of numerical simulation are presented, showing that the theoretical results are in good agreement with the numerical ones.
|
| first_indexed | 2024-04-10T07:19:05Z |
| format | Article |
| id | doaj.art-f09cb12fe550415f8e658df0ccf5d730 |
| institution | Directory Open Access Journal |
| issn | 2773-4196 |
| language | English |
| last_indexed | 2024-04-10T07:19:05Z |
| publishDate | 2022-12-01 |
| publisher | Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila |
| record_format | Article |
| series | Journal of Innovative Applied Mathematics and Computational Sciences |
| spelling | doaj.art-f09cb12fe550415f8e658df0ccf5d7302023-02-24T21:46:18ZengInstitute of Sciences and Technology, University Center Abdelhafid Boussouf, MilaJournal of Innovative Applied Mathematics and Computational Sciences2773-41962022-12-012310.58205/jiamcs.v2i3.25Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuitNadjet Boudjerida0Mohammed Salah Abdelouahab1René Lozi2Constantine 1 University Centre Universitaire de Mila Université Côte d'Azur This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memristor-based Chua circuits modeled by two nonlinear integer-order and fractional-order systems. First, a hyperchaotic memristor-based Chua circuit is suggested, and its dynamics are explored using different tools, including stability theory, phase portraits, Lyapunov exponents, and bifurcation diagrams. Another interesting property of this circuit was the coexistence of attractors and the appearance of mixed-mode oscillations. It has been shown that one can achieve MPS with integer-order and incommensurate fractional-order memristor-based Chua circuits. Finally, examples of numerical simulation are presented, showing that the theoretical results are in good agreement with the numerical ones. http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/25Memristor-based Chua circuithyperchaotic Systemmodified projective synchronization. |
| spellingShingle | Nadjet Boudjerida Mohammed Salah Abdelouahab René Lozi Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit Journal of Innovative Applied Mathematics and Computational Sciences Memristor-based Chua circuit hyperchaotic System modified projective synchronization. |
| title | Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit |
| title_full | Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit |
| title_fullStr | Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit |
| title_full_unstemmed | Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit |
| title_short | Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit |
| title_sort | modified projective synchronization of fractional order hyperchaotic memristor based chua s circuit |
| topic | Memristor-based Chua circuit hyperchaotic System modified projective synchronization. |
| url | http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/25 |
| work_keys_str_mv | AT nadjetboudjerida modifiedprojectivesynchronizationoffractionalorderhyperchaoticmemristorbasedchuascircuit AT mohammedsalahabdelouahab modifiedprojectivesynchronizationoffractionalorderhyperchaoticmemristorbasedchuascircuit AT renelozi modifiedprojectivesynchronizationoffractionalorderhyperchaoticmemristorbasedchuascircuit |