ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Kashchenko I. S., Kashchenko S. A. Local dynamics of difference and difference-differential equations. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 1, pp. 71-92. DOI: 10.18500/0869-6632-2014-22-1-71-92

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2014-22-1-71-92

Local dynamics of difference and difference-differential equations

Autors: 
Kashchenko I. S., P. G. Demidov Yaroslavl State University
Kashchenko Sergej Aleksandrovich, 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.

Key words: 
Quasi-normal form
delay
difference equation
difference-differential equation
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Received: 
29.11.2013
Accepted: 
29.11.2013
Published: 
30.04.2014
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