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Bistability in network motifs of Duffing oscillators

Rider Jaimes-Reátegui, Jose Maria Castillo-Cruz, Juan Hugo García-Lopéz, Guillermo Huerta-Cuellar, Luis Armando Gallegos Infante, Alexander N. Pisarchik
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.
CYBERNETICS AND PHYSICS, Vol.9, No.1, 2020, 31-40, https://doi.org/10.35470/2226-4116-2020-9-1-31-40
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