Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems
This paper presents the study of the opposition to the synchronization of bistable chaotic oscillator systems in basic motif configurations. The following configurations were analyzed: Driver-response oscillator systems coupling, two driver oscillator systems to one response oscillator, and a three-...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Akif AKGUL
2024-06-01
|
| Series: | Chaos Theory and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/3457849 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590432404504576 |
|---|---|
| author | Dıdıer Lopez Mancılla Guillermo Huerta-cuellar Juan Hugo García López Rider Jaimes-reategui |
| author_facet | Dıdıer Lopez Mancılla Guillermo Huerta-cuellar Juan Hugo García López Rider Jaimes-reategui |
| author_sort | Dıdıer Lopez Mancılla |
| collection | DOAJ |
| description | This paper presents the study of the opposition to the synchronization of bistable chaotic oscillator systems in basic motif configurations. The following configurations were analyzed: Driver-response oscillator systems coupling, two driver oscillator systems to one response oscillator, and a three-oscillator systems ring unidirectional configuration. The study was conducted using the differential equations representing the piecewise linear Rössler-like electronic circuits; the initial conditions were changed to achieve a bistable characteristic Homoclinic H-type or Rössler R-type attractor. Analyzing a sweep of the initial conditions, the basin attractor was obtained. It can be observed that each system has a preferred Homoclinic chaotic attractor with any perturbation or change in initial conditions. A similarity analysis based on the coupling factor was also performed and found that the system has a preferentially Homoclinic chaotic attractor. |
| format | Article |
| id | doaj-art-dfd83551af8548cb8a501a806b78906b |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-dfd83551af8548cb8a501a806b78906b2025-01-23T18:19:49ZengAkif AKGULChaos Theory and Applications2687-45392024-06-016213114310.51537/chaos.13720661971Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator SystemsDıdıer Lopez Mancılla0https://orcid.org/0000-0002-0971-3176Guillermo Huerta-cuellar1https://orcid.org/0000-0003-2956-104XJuan Hugo García López2https://orcid.org/0000-0002-3739-0781Rider Jaimes-reategui3https://orcid.org/0000-0002-8137-1270Universidad de GuadalajaraUNIVERSIDAD DE GUADALAJARAUNIVERSIDAD DE GUADALAJARAUniversidad de GuadalajaraThis paper presents the study of the opposition to the synchronization of bistable chaotic oscillator systems in basic motif configurations. The following configurations were analyzed: Driver-response oscillator systems coupling, two driver oscillator systems to one response oscillator, and a three-oscillator systems ring unidirectional configuration. The study was conducted using the differential equations representing the piecewise linear Rössler-like electronic circuits; the initial conditions were changed to achieve a bistable characteristic Homoclinic H-type or Rössler R-type attractor. Analyzing a sweep of the initial conditions, the basin attractor was obtained. It can be observed that each system has a preferred Homoclinic chaotic attractor with any perturbation or change in initial conditions. A similarity analysis based on the coupling factor was also performed and found that the system has a preferentially Homoclinic chaotic attractor.https://dergipark.org.tr/en/download/article-file/3457849rössler oscillatoropposition to synchronizationcomplex networkcoupled oscillators |
| spellingShingle | Dıdıer Lopez Mancılla Guillermo Huerta-cuellar Juan Hugo García López Rider Jaimes-reategui Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems Chaos Theory and Applications rössler oscillator opposition to synchronization complex network coupled oscillators |
| title | Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems |
| title_full | Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems |
| title_fullStr | Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems |
| title_full_unstemmed | Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems |
| title_short | Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems |
| title_sort | opposition to synchronization of bistable state in motif configuration of rossler chaotic oscillator systems |
| topic | rössler oscillator opposition to synchronization complex network coupled oscillators |
| url | https://dergipark.org.tr/en/download/article-file/3457849 |
| work_keys_str_mv | AT dıdıerlopezmancılla oppositiontosynchronizationofbistablestateinmotifconfigurationofrosslerchaoticoscillatorsystems AT guillermohuertacuellar oppositiontosynchronizationofbistablestateinmotifconfigurationofrosslerchaoticoscillatorsystems AT juanhugogarcialopez oppositiontosynchronizationofbistablestateinmotifconfigurationofrosslerchaoticoscillatorsystems AT riderjaimesreategui oppositiontosynchronizationofbistablestateinmotifconfigurationofrosslerchaoticoscillatorsystems |