Dear all, Our upcoming AM seminar is held next Wed 28 June at 1pm in F07 Carslaw Lecture Theatre 373. Please check the new venue for the seminar in this semester. Our speaker is Priya Subramanian (University of Auckland). Talk details follow below: -------------------------------------------------------------------------------------------------------------------------------------------- Title: Rogue bursting as an effect of broken symmetry Abstract: The formation of rogue waves is of interest, from North sea waves and waves in tanks to waves in nonlinear optics. Most common models used to investigate rogue bursts use the nonlinear Schroedinger (NLS) equation and its variants. However, such integrable settings and analytical solutions are rare in higher dimensions. So we propose to use the model of a dissipative system: which describes interaction between standing waves in domains of moderate aspect ratio. When spatial reflection symmetry is broken, the left and right running waves can interact strongly producing a temporally localised extremely large amplitude event. We consider a ring of identical, diffusively coupled oscillators where the spatial reflection symmetry is broken in each oscillator. This ring of oscillators with weak coupling are able to demonstrate rogue events occurring at random times and locations. Importantly, this is the case even when the parameters characterizing the individual oscillators are chosen to generate periodic oscillations only. We look at different diagnostics ranging from the event amplitude distribution function to studying the precursors to the local emergence of large amplitude events. This work aims to be a starting point for further exploration of alternative mechanisms producing extreme events, and potentially enable their identification in other nonlinear lattice systems in one or more dimensions. Related Publication: P. Subramanian, E. Knobloch and P. G. Kevrekidis, Forced symmetry breaking as a mechanism for rogue bursts in a dissipative nonlinear dynamical lattice, Phys. Rev. E 106, 014212 (2022) -------------------------------------------------------------------------------------------------------------------------------------------- An ongoing list of AM seminars is posted here: https://www.maths.usyd.edu.au/u/SemConf/Applied.html See you there, Jae Min