We study localized states in the Swift–Hohenberg equation when time-periodic parametric forcing is introduced. The presence of a time-dependent forcing introduces a new characteristic time which creates a series of resonances with the depinning time of the fronts bounding the localized pattern. The organization of these resonances in parameter space can be understood using appropriate asymptotics. A number of distinct canard trajectories involved in the observed transitions is constructed.
CITATION STYLE
Gandhi, P., Beaume, C., & Knobloch, E. (2016). Time-periodic forcing of spatially localized structures. In Springer Proceedings in Physics (Vol. 173, pp. 303–316). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-24871-4_23
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