I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of difference and difference-differential equations”, Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, Volume 22, Issue 1, Pages 71

Izvestiya VUZ. Applied Nonlinear Dynamics

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Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, Volume 22, Issue 1, Pages 71–92 (Mi ivp221)

This article is cited in 1 scientific paper (total in 1 paper)

BIFURCATION IN DYNAMICAL SYSTEMS

Local dynamics of difference and difference-differential equations

I. S. Kashchenko^ab, S. A. Kaschenko^b

^a National Engineering Physics Institute "MEPhI", Moscow
^b P.G. Demidov Yaroslavl State University

Citations (1)

Abstract: We study local dynamics of difference and singular perturbed difference-differential systems in the neighborhood of zero equilibrium state. All critical cases in this problem have infinite dimension. We construct special nonlinear equations that play the role of normal form. Their nonlocal dynamics describes the behavior of solution of initial system.

Keywords: Quasi-normal form, delay, difference equation, difference-differential equation.

Funding agency	Grant number
Ministry of Science and Higher Education of the Russian Federation	984
Ministry of Education and Science of the Russian Federation	14.124.13.5948-МК

Received: 29.11.2013

Document Type: Article

UDC: 517.9

Language: Russian

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https://www.mathnet.ru/eng/ivp221

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
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Izvestiya VUZ. Applied Nonlinear Dynamics

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