4,191 research outputs found
Canard explosion in delayed equations with multiple timescales
We analyze canard explosions in delayed differential equations with a
one-dimensional slow manifold. This study is applied to explore the dynamics of
the van der Pol slow-fast system with delayed self-coupling. In the absence of
delays, this system provides a canonical example of a canard explosion. We show
that as the delay is increased a family of `classical' canard explosions ends
as a Bogdanov-Takens bifurcation occurs at the folds points of the S-shaped
critical manifold.Comment: arXiv admin note: substantial text overlap with arXiv:1404.584
Gdje je gluonska lopta?
The processes ππ → ππ, KK¯ and ηη, with I GJ P C = 0+0 ++, are analysed by means of simultaneous coupled-channel analysis of all available data. The investigation is focussed on the properties of the f0(665), f0(980), f0(1370), f0(1500) and f0(1710) states with the aim to determine their quark-gluonic content. The analysis supports the existence of f0(665) as a very broad resonance. It suggests further to see the f0(980) state as predominantly the ηη bound state. The quark content of other states is inferred and f0(1500) appears as a mixed state with dominant glueball component.Analiziramo sve poznate podatke za procese ππ → ππ, KK¯ i ηη, za koje je I GJ P C = 0+0 ++, primjenjujući istovremenu analizu za vezana stanja. Usredotočili smo se na istraživanje svojstava stanja f0(665), f0(980), f0(1370), f0(1500) i f0(1710) s ciljem određivanja njihovog kvark-gluonskog sastava. Analiza podržava postojanje vrlo široke rezonancije f0(665). Nadalje, ukazuje da je stanje f0(980) pretežno vezano stanje ηη. Za druga stanja procjenjuje se kvarkovski sadržaj, a f0(1500) je, čini se, miješano stanje s gluonskom loptom kao većinskom sastavnicom
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