Inbo Sim, University of Ulsan, South Korea |
Title: Symmetry-breaking bifurcation for the one-dimensional H\'{e}non and Moore-Nehari differential equations |
Abstract: We show the existence of a symmetry-breaking bifurcation point for the one-dimensional H\'{e}non and the Moore-Nehari differential equation.
Employing a variant of Rabinowitz’s global bifurcation, we obtain the unbounded connected set (the first of the alternatives about Rabinowitz’s global bifurcation), which emanates from the symmetry-breaking bifurcation point. Moreover, we give an example of a bounded branch connecting two symmetry-breaking bifurcation points (the second of the alternatives about Rabinowitz’s global bifurcation) and show that a bifurcation point for Moore-Nehari equation is explicitly represented as a function of \p\ which is an exponent of nonlinear term. |
Wednesday, Jan 16, 11:00AM-12:00 Noon, Conference room
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