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Guzsvány Szandra: SaddleNodeLike Bifurcation of Periodic Orbits for a Delay Differential Equation 



Thursday, 7. December 2017, 10:00  12:00


Abstract. We consider the scalar delay differential equation x'(t) = x(t) + f(x(t1)) with a nondecreasing feedback function f depending on a parameter K, and we verify that a saddlenodelike bifurcation of periodic orbits takes place as K varies. The nonlinearity f is chosen so that it has two unstable fixed points (hence the dynamical system has two unstable equilibria), and these fixed points remain bounded away from each other as K changes. The generated periodic orbits are of large amplitude in the sense that they oscillate about both unstable fixed points of f. 
Location : Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged 
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