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Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, Volume 22, Issue 1, Pages 71–92
(Mi ivp221)
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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. Kashchenkoab, S. A. Kaschenkob
a National Engineering Physics Institute "MEPhI", Moscow
b P.G. Demidov Yaroslavl State University
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.
Received: 29.11.2013
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https://www.mathnet.ru/eng/ivp221
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