This article is cited in 3 scientific papers (total in 3 papers)
Normalization in the system with two close large delays
I. S. Kashchenko
P. G. Demidov Yaroslavl State University
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.
delay, normal forms, multistability, small parameter, singular perturbations.
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I. S. Kashchenko, “Normalization in the system with two close large delays”, Nelin. Dinam., 6:1 (2010), 169–180
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\paper Normalization in the system with two close large delays
\jour Nelin. Dinam.
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I. S. Kaschenko, “Lokalnaya dinamika uravneniya s dlitelnym eksponentsialno raspredelennym zapazdyvaniem”, Model. i analiz inform. sistem, 18:3 (2011), 42–49
A. A. Kaschenko, “Ustoichivost prosteishikh periodicheskikh reshenii v uravnenii Styuarta–Landau s bolshim zapazdyvaniem”, Model. i analiz inform. sistem, 19:3 (2012), 136–141
I. S. Kashchenko, “Local dynamics of an equation with distributed delay”, Differ. Equ., 50:1 (2014), 15–24
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