BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250918T055537EDT-7915mB18FV@132.216.98.100
DTSTAMP:20250918T095537Z
DESCRIPTION:Title: Degenerate singular cycles and chaotic switching in the 
 two-site open Bose--Hubbard model.\n\nAbstract: The two-site open Bose--Hu
 bbard dimer model is a celebrated fundamental quantum optical model that a
 ccounts for the dynamics of bosons at two lossy interacting sites. Recentl
 y\, two coupled\, driven\, and lossy photonic crystal nanocavities ---whic
 h are optical devices that operate with only a few hundred photons due to 
 their extremely small size--- have been shown to realise this model experi
 mentally. Thus\, there is much interest in understanding the different beh
 aviours that such model exhibits for theoretical and practical purposes. T
 his talk will show the different dynamics in the semiclassical approximati
 on of this quantum optical system by presenting a comprehensive bifurcatio
 n analysis. We characterised different transitions of chaotic attractors i
 n parameter plane by numerically computing tangency bifurcations between s
 table and unstable manifolds of saddle equilibria and periodic orbits. By 
 doing so\, we identify codimension-two degenerate singular cycles\, and th
 eir generalisations\, as responsible for the organisations of different ta
 ngency and heteroclinic bifurcations between saddle equilibria periodic or
 bits in parameter plane. Thus\, we provide a roadmap for observable chaoti
 c dynamics in the semiclassical approximation of the two-site Bose--Hubbar
 d dimer model\, which connects novel results in bifurcation theory with no
 vel applications through numerical continuation techniques.\n\nSeminar App
 lied Mathematics\n	To register contact : appliedseminars [at] math.mcgill.c
 a\n\nJoin Zoom Meeting https://us06web.zoom.us/j/85327310903?pwd=SlhEak53S
 2xrNkVYKzl4YUd5KzBudz09 Meeting ID: 853 2731 0903 / Passcode: 383854\n
DTSTART:20211125T210000Z
DTEND:20211125T220000Z
SUMMARY:Andrus Giraldo (The University of Auckland)
URL:/mathstat/channels/event/andrus-giraldo-university
 -auckland-335168
END:VEVENT
END:VCALENDAR