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SUMMARY:On Georg Duffing\, some of the equations named after him and assoc
 iated phenomena
DTSTART;VALUE=DATE-TIME:20101215T170000Z
DTEND;VALUE=DATE-TIME:20101215T180000Z
DTSTAMP;VALUE=DATE-TIME:20261010T022139Z
UID:indico-event-39@indico.ipb.ac.rs
DESCRIPTION:The classical Duffing Equation is one of the most important eq
 uations in the theory of nonlinear dynamics\, which models a harmonically 
 excited single-degree-of-freedom oscillator with a linear-plus-cubic resto
 ring force. This equation is named after Georg Duffing\, a German engineer
 \, who published a comprehensive book ‘Forced oscillations with variable
  natural frequency and their technical significance’ in 1918. Since then
  there has been a tremendous amount of work done on this equation and its 
 various forms\, including the development of different methods and the use
  of these methods to investigate the rich dynamic behaviour and associated
  phenomena of different and disparate оscillatory systems modelled by the
 m.The first objective of this lecture is to give a historical background t
 o Duffing’s work and life\, as not much is known and published about him
 . The story behind this is very interesting\, because Georg Duffing was no
 t an academic\; he was an engineer\, who carried out academic work in his 
 spare time. The second objective is to compare and illustrate some of the 
 characteristic nonlinear phenomena\, including multi-valued amplitudefrequ
 ency response\, hysteresis and the occurrence of jumps in the classical Du
 ffing Oscillator and the one that contains pure cubic nonlinearity and is 
 also under the action of a constant force.The lecture is also to announce 
 the appearance of the book The Duffing Equation: Nonlinear Oscillators and
  their Behaviourhttp://eu.wiley.com/WileyCDA/WileyTitle/productCd-04707154
 99.htmlwhich brings together the results of a wealth of disseminated resea
 rch literature on the Duffing Equation.- - - - - - - - - -Klasična Dufing
 ova jednačina\, koja modelira kretanje oscilatora sa jednim stepenom slob
 ode\, restitucionom silom koja sadrži linearni i kubni geometrijski član
  i pod dejstvom je harmonijske prinude\, predstavlja jednu od najvažnijih
  jednačina u teoriji nelinearne dinamike. Jednačina je dobila ime po Geo
 rgu Dufingu\, nemačkom inženjeru\, koji je 1918. godine publikovao sadr
 žajnu knjigu „Prinudne oscilacije sa promenljivom sopstvenom frekvencij
 om i njihov tehnički značaj”. Nakon toga\, sprovedeno je obilje istra
 živanja vezanog za ovu jednačinu i njene oblike\, razvijeni su brojni me
 todi za njihovo rešavanje\, kao i ispitivanje dinamičkog ponašanja i fe
 nomena koji se javljaju u različitim oscilatornim sistemima koje one mode
 luju.Ovo predavanje ima za cilj da najpre da istorijsku pregled Dufingovog
  života i rada\, s obzirom da o ovome nema mnogo dostupnih informacija. I
 storijska pozadina je veoma interesantna\, jer Georg Dufing nije imao univ
 erzitetsku karijeru\, već je bio inženjer koji je svoja istraživanja sp
 rovodio u slobodno vreme. Osim toga\, dodatni cilj predavanja je poređenj
 e i ilustracija nekih nelinearnih fenomena\, kao što su amplitudno-frekve
 ntne karakteristike sa višestrukim stacionarnim rešenjima\, histerezisno
  ponašanje i pojava skoka amplitude kod klasičnog Dufingovog oscilatora 
 i onog koji ima čisto kubnu nelinearnost i pod dodatnim je dejstvom konst
 ante sile.Predavanje je i povod da se najavi izlazak monografije "Dufingov
 a jednačina: nelinearni oscilatori i njihovo ponašanje"http://eu.wiley.c
 om/WileyCDA/WileyTitle/productCd-0470715499.htmlkoja sadrži bogatstvo pri
 kupljenih rezultata koji se tiču Dufingove jednačine.\n\nhttps://events.
 saifa.rs/event/39/
LOCATION:Mathematical Institute 301 F
URL:https://events.saifa.rs/event/39/
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