Iliya Kashchenko

    Sovetskaya st., 14, Yaroslavl, 150000 Russia
    Yaroslavl State University


    Kashchenko I. S.
    This work deals with local dynamics of difference-differential equation with two delays. Supposed that both delays are asymptotically large and relatively close to each other. In critical cases of equlibrium state stability problem, which all have infinite dimention, special equations — normal forms — were built. Shown that normal forms are Ginzburg–Landau equations.
    Keywords: normal forms, multistability, small parameter, singular perturbations
    Citation: Kashchenko I. S.,  Normalization in the system with two close large delays, Rus. J. Nonlin. Dyn., 2010, Vol. 6, No. 1, pp.  169-180

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