Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control
Antisynchronization phenomena are studied in nonidentical fractional-order differential systems. The characteristic feature of antisynchronization is that the sum of relevant state-variables vanishes for sufficiently large value of time variable. Active control method is used first time in the liter...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/250763 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556927094095872 |
|---|---|
| author | Sachin Bhalekar Varsha Daftardar-Gejji |
| author_facet | Sachin Bhalekar Varsha Daftardar-Gejji |
| author_sort | Sachin Bhalekar |
| collection | DOAJ |
| description | Antisynchronization phenomena are studied in nonidentical fractional-order differential systems. The characteristic feature of antisynchronization is that the sum of relevant state-variables vanishes for sufficiently large value of time variable. Active control method is used first time in the literature to achieve antisynchronization between fractional-order Lorenz and Financial systems, Financial and Chen systems, and Lü and Financial systems. The stability analysis is carried out using classical results. We also provide numerical results to verify the effectiveness of the proposed theory. |
| format | Article |
| id | doaj-art-f2065bd8ff6f4722813369adc0a82d99 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-f2065bd8ff6f4722813369adc0a82d992025-02-03T05:44:05ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/250763250763Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active ControlSachin Bhalekar0Varsha Daftardar-Gejji1Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur 416004, IndiaDepartment of Mathematics, University of Pune, Ganeshkhind, Pune 411007, IndiaAntisynchronization phenomena are studied in nonidentical fractional-order differential systems. The characteristic feature of antisynchronization is that the sum of relevant state-variables vanishes for sufficiently large value of time variable. Active control method is used first time in the literature to achieve antisynchronization between fractional-order Lorenz and Financial systems, Financial and Chen systems, and Lü and Financial systems. The stability analysis is carried out using classical results. We also provide numerical results to verify the effectiveness of the proposed theory.http://dx.doi.org/10.1155/2011/250763 |
| spellingShingle | Sachin Bhalekar Varsha Daftardar-Gejji Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control International Journal of Differential Equations |
| title | Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control |
| title_full | Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control |
| title_fullStr | Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control |
| title_full_unstemmed | Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control |
| title_short | Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control |
| title_sort | antisynchronization of nonidentical fractional order chaotic systems using active control |
| url | http://dx.doi.org/10.1155/2011/250763 |
| work_keys_str_mv | AT sachinbhalekar antisynchronizationofnonidenticalfractionalorderchaoticsystemsusingactivecontrol AT varshadaftardargejji antisynchronizationofnonidenticalfractionalorderchaoticsystemsusingactivecontrol |