Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model
For certain parameters, the mapping of a Hassell-type recruitment population model has a chaotic attractor. The control parameter is disturbed slightly with time by the improvement OGY method. When the mapping point wanders to the neighborhood of the periodic point, the control parameter is perturbe...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8148634 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550452817821696 |
|---|---|
| author | Guo Feng |
| author_facet | Guo Feng |
| author_sort | Guo Feng |
| collection | DOAJ |
| description | For certain parameters, the mapping of a Hassell-type recruitment population model has a chaotic attractor. The control parameter is disturbed slightly with time by the improvement OGY method. When the mapping point wanders to the neighborhood of the periodic point, the control parameter is perturbed. The chaotic motion is controlled on the stable periodic period-1 point and period-2 orbits, and the influence of different control parameter ranges on the control average time is analyzed. When the selected regulator poles are different, the number of iterations used to control chaotic motion on a stable periodic orbit is different. Numerical simulations are presented to illustrate our results with the theoretical analysis and show the effect of the control method. |
| format | Article |
| id | doaj-art-da0372064a1f47baa0b9d87a04e60c49 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-da0372064a1f47baa0b9d87a04e60c492025-02-03T06:06:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/81486348148634Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population ModelGuo Feng0School of Data and Computer Science, Shandong Women’s University, Jinan, 250300, ChinaFor certain parameters, the mapping of a Hassell-type recruitment population model has a chaotic attractor. The control parameter is disturbed slightly with time by the improvement OGY method. When the mapping point wanders to the neighborhood of the periodic point, the control parameter is perturbed. The chaotic motion is controlled on the stable periodic period-1 point and period-2 orbits, and the influence of different control parameter ranges on the control average time is analyzed. When the selected regulator poles are different, the number of iterations used to control chaotic motion on a stable periodic orbit is different. Numerical simulations are presented to illustrate our results with the theoretical analysis and show the effect of the control method.http://dx.doi.org/10.1155/2020/8148634 |
| spellingShingle | Guo Feng Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model Discrete Dynamics in Nature and Society |
| title | Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model |
| title_full | Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model |
| title_fullStr | Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model |
| title_full_unstemmed | Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model |
| title_short | Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model |
| title_sort | chaotic dynamics and chaos control of hassell type recruitment population model |
| url | http://dx.doi.org/10.1155/2020/8148634 |
| work_keys_str_mv | AT guofeng chaoticdynamicsandchaoscontrolofhasselltyperecruitmentpopulationmodel |