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Pattern Formation and Homoclinic Snaking
Pattern formation is the developmental process of visible, orderly outcomes of self-organization. Patterns can appear through multi-hysteresis forming the so-called homoclinic snaking. "Snaking" bifurcation, describing multiple localized solutions existing within a small region of parameter space, is widely observed in in numerous natural applications. In this talk, I will present some of our recent works on the snaking of localized patterns. Particularly, I am going to consider the Swift-Hohenberg equation and its discrete version that shall be used to clarify the different mechanism behind homoclinic snaking in continuous and discrete systems.
About the Speaker
Dr. Hadi Susanto, Professor, Department of Mathematics, Khalifa University, UAE
For more information, please contact [email protected].