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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2010 Volume 6, Number 1, Pages 169–180 (Mi nd64)

This article is cited in 4 papers

Normalization in the system with two close large delays

I. S. Kashchenko

P. G. Demidov Yaroslavl State University

Abstract: 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: delay, normal forms, multistability, small parameter, singular perturbations.

UDC: 517.9

MSC: 34K17

Received: 23.11.2009



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