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-...

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Bibliographic Details
Main Authors: Dıdıer Lopez Mancılla, Guillermo Huerta-cuellar, Juan Hugo García López, Rider Jaimes-reategui
Format: Article
Language:English
Published: Akif AKGUL 2024-06-01
Series:Chaos Theory and Applications
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Online Access:https://dergipark.org.tr/en/download/article-file/3457849
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Summary: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.
ISSN:2687-4539