@article{article_1372066, title={Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems}, journal={Chaos Theory and Applications}, volume={6}, pages={131–143}, year={2024}, DOI={10.51537/chaos.1372066}, author={García López, Juan Hugo and Jaimes-reategui, Rider and Huerta-cuellar, Guillermo and Lopez Mancılla, Dıdıer}, keywords={Rössler oscillator, Opposition to Synchronization, Complex network, Coupled oscillators}, abstract={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.}, number={2}, publisher={Akif AKGÜL}, organization={CONAHCyT}