Curvature effects and radial homoclinic snaking

• Published in: IMA journal of applied mathematics Vol. 86; no. 5; pp. 1094 - 1111
• Main Authors: Gomila, Damià, Knobloch, Edgar
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.10.2021
• Subjects: collapsed homoclinic snaking; localized structures; curvature-driven front dynamics

Abstract In this work, we revisit some general results on the dynamics of circular fronts between homogeneous states and the formation of localized structures in two dimensions (2D). We show how the bifurcation diagram of axisymmetric structures localized in radius fits within the framework of colla...