OPEN PROBLEM: Spatially localized structures in dissipative systems: open problems

By Edgar Knobloch. 2008

165 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ecad7c2e733ba78c1f9794a27b1c067cdab20fc1

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Citations in the corpus

• Homoclinic and heteroclinic bifurcations in vector fields (2010, unknown): “We refer to the recent review [220] for a list of open problems.”
• On localised hotspots of an urban crime model (2013, background): “Near the sub/supercritical transition, one expects homoclinic snaking to exist; see Kozyreff & Chapman [11] and also [9, 12, 14, 24, 45].”
• Pattern-formation approach to modelling spatially extended ecosystems (2012, unknown): “Linking this finding with independent studies of simple pattern-formation models, such as the Swift–Hohenberg model (Knobloch, 2008), suggest at once that desertification may not be an abrupt transition, but rather a gradual process involving dynamics across”