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BEGIN:VEVENT
UID:DSC-7110
DTSTART;TZID=Europe/Berlin:20140408T110000
SEQUENCE:1396944180
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20140408T120000
URL:https://dresden-science-calendar.de/calendar/de/detail/7110
LOCATION:MPI-PKS\, Nöthnitzer Straße 3801187 Dresden
SUMMARY:Hennig: Existence and non-existence of localised solutions in dampe
 d and driven general nonlinear lattices
CLASS:PUBLIC
DESCRIPTION:Speaker: Dirk Hennig\nInstitute of Speaker: \nTopics:\nPhysik\n
  Location:\n  Name: MPI-PKS (Seminarroom 4)\n  Street: Nöthnitzer Straße
  38\n  City: 01187 Dresden\n  Phone: + 49 (0)351 871 0\n  Fax: \nDescripti
 on: The existence of spatially localised solutions\, in the form of discre
 te breathers\, in general damped and driven nonlinear lattice systems of c
 oupled oscillators is investigated. Conditions for the exponential decay o
 f the difference between the maximal and minimal amplitudes of the oscilla
 tors are provided which proves that initial non- uniform spatial patterns 
 representing breathers attain exponentially fast a spatially uniform state
  preventing the formation and/or preservation of any breather solution at 
 all. Strikingly the results are generic in the sense that they hold for ar
 bitrary dimension of the system\, any attractive interaction\, coupling st
 rength and on-site potential and general driving fields. Furthermore\, the
  rigorous quantitative results establish conditions under which discrete b
 reathers in general damped and driven nonlinear lattices can exist at all 
 and open the way for further research on the emergent dynamical scenarios\
 , in particular features of pattern formation\, localisation and synchroni
 sation\, in coupled cell networks.
DTSTAMP:20260624T140754Z
CREATED:20140402T075211Z
LAST-MODIFIED:20140408T080300Z
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