Open AccessBistability in network motifs of Duffing oscillators
Author(s) -
R. Jaimes-Reátegui,
J. M. Castillo-Cruz,
J. H. García-López,
G. Huerta-Cuéllar,
L. A. Gallegos-Infante,
Alexander N. Pisarchik
Publication year - 2020
Publication title -
cybernetics and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 8
eISSN - 2226-4116
pISSN - 2223-7038
DOI - 10.35470/2226-4116-2020-9-1-31-40
Subject(s) - quasiperiodicity , bistability , multivibrator , duffing equation , coupling strength , bifurcation , pitchfork bifurcation , bifurcation diagram , limit cycle , multistability , fixed point , physics , mathematics , classical mechanics , statistical physics , control theory (sociology) , quasiperiodic function , mathematical analysis , nonlinear system , quantum mechanics , condensed matter physics , computer science , voltage , control (management) , artificial intelligence
We study the emergence of synchronization in the network motif of three bistable Duffing oscillators coupled in all possible configurations. The equation of motion is derived for every configuration. For each motif, we vary initial conditions of every oscillator and calculate the bifurcation diagram as a function of the coupling strength. We find transitions of the whole system to a monostable regime with either a fixed point or a limit cycle depending on the motif’s configuration, as the coupling strength is increased. The most complex dynamics is observed the nidirectional chain, where a transition to quasiperiodicity occurs.