Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems

Authors : Juan Hugo García López, Rider Jaimesreategui, Guillermo Huertacuellar, Dıdıer Lopez Mancılla

Pages : 131-143

Doi:10.51537/chaos.1372066

View : 48 | Download : 50

Publication Date : 2024-06-30

Article Type : Research Paper

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.
Keywords : Rössler oscillator, Opposition to Synchronization, Complex network, Coupled oscillators