Browsing CAIM - 2018 by Subject "mathematics"

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  • Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions 
    BIHUN, Yaroslav; PETRYSHYN, Roman; KRASNOKUTSKA, Inessa (Bons Offices, 2018)
    The complexity of the research of the problem is the existence of resonances. Resonance condition in point τ ∈ [0, L] is q Xν =1 θ ν(kν, ω(θντ)) = 0, kν ∈ Rm, IkI 6= 0. Averaging in system (1) is carried out on fast variables ...
  • Topological configurations of singularities for quadratic differential systems 
    ARTES, Joan C.; LLIBRE, Jaume; SCHLOMIUK, Dana; VULPE, Nicolae (Bons Offices, 2018)
    In this paper we extract the local topological information around all singularities from the 1879 geometric equivalence classes. We prove that there are exactly 208 topologically distinct global topological configurations ...

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