Applied Maths Seminar: Subramanian -- Applied Maths Seminar: Rogue bursting as an effect of broken symmetry

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: 

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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)
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An ongoing list of AM seminars is posted here:
https://www.maths.usyd.edu.au/u/SemConf/Applied.html 

See you there, Jae Min