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TZID:Europe/Budapest
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UID:3aq4sck7rr7jrkb25aldndg4p1@google.com
CATEGORIES:{lang hu}Differenciálegyenletek szeminárium{/lang}{lang en}Differential equations seminar{/lang}
SUMMARY:Guzsvány Szandra: Saddle-Node-Like Bifurcation of Periodic Orbits for a Delay Differential Equation
LOCATION:Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. We consider the scalar delay differential equation
x'(t) = -x
(t) + f(x(t-1))
with a nondecreasing feedback function f depending on a
parameter K, and we verify that a saddle-node-like bifurcation of periodic
orbits takes place as K varies.
The nonlinearity f is chosen so that i
t has two unstable fixed points (hence the dynamical system has two unstabl
e equilibria), and these fixed points remain bounded away from each other a
s K changes. The generated periodic orbits are of large amplitude in the se
nse that they oscillate about both unstable fixed points of f.
DTSTAMP:20240328T145959Z
DTSTART;TZID=Europe/Budapest:20171207T100000
DTEND;TZID=Europe/Budapest:20171207T120000
SEQUENCE:0
TRANSP:OPAQUE
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