## Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis.

- Grégory Faye, James Rankin, Pascal Chossat
- Journal of mathematical biology
- 2013

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The bistable Swift-Hohenberg equation exhibits multiple stable and unstable spatially localized states of arbitrary length in the vicinity of the Maxwell point between spatially homogeneous and periodic states. These states are organized in a characteristic snakes-and-ladders structure. The origin of this structure in one spatial dimension is reviewed, and… (More)

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