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

Year 2024, Volume: 6 Issue: 2, 131 - 143, 30.06.2024

Juan Hugo García López Rider Jaimes-reategui Guillermo Huerta-cuellar Dıdıer Lopez Mancılla

https://doi.org/10.51537/chaos.1372066

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

Supporting Institution

CONAHCyT

Project Number

320597

Thanks

The authors acknowledge the support of the CONAHCyT

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