2022 Volume 13 Issue 3 Pages 558-569
In this study, we theoretically investigate both propagating and standing wave phenomena in five mutually-coupled bistable oscillators. The bistable oscillator is considered as a form of a Van der Pol oscillator with higher order nonlinearity. For the resonant case, the explicit forms of several propagating and standing waves are obtained using the averaging method. The associated numerical results for the weakly nonlinear oscillators are confirmed to be consistent with the theoretical results. Further, we show that a more localized propagating wave in space and time exists numerically as compared with the theoretically obtained propagating wave for strongly nonlinear oscillators.
