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Frencesca Scarabel (SZTE Bolyai Intézet): Capture the past to portray the future: Numerical bifurcation analysis of delay equations via pseudospectral methods

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Thursday, 7. February 2019, 10:00 - 12:00
Abstract. Via pseudospectral discretization, a nonlinear delay equation can be approximated with a system of ODEs, and its dynamical and bifurcation properties can be studied with existing software for ODEs. The pseudospectral discretization method can be applied to nonlinear integral and delay-differential equations, with discrete and distributed delays, finite and infinite delays, and some kinds of state-dependent delays.
I will present the method and illustrate its effectiveness with some examples from population dynamics and epidemiology.
Location : Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged


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