Localized Patterns in a Three-Component FitzHugh–Nagumo Model Revisited Via an Action Functional
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DOI: 10.1007/s10884-016-9557-z
Abstract: In this manuscript, we combine geometrical singular perturbation techniques and an action functional to revisit—and further study—the existence and stability of stationary localized structures in a singularly perturbed three-component FitzHugh–Nagumo model. In particular, the action… read more here.
Keywords: nagumo model; fitzhugh nagumo; three component; action functional ... See more keywords
Pinned Solutions in a Heterogeneous Three-Component FitzHugh–Nagumo Model
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DOI: 10.1007/s10884-018-9694-7
Abstract: We analyse pinned front and pulse solutions in a singularly perturbed three-component FitzHugh–Nagumo model with a small jump-type heterogeneity. We derive explicit conditions for the existence and stability of these type of pinned solutions by… read more here.
Keywords: nagumo model; fitzhugh nagumo; three component; pinned solutions ... See more keywords