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


For citation:

Kashchenko S. A., Kashchenko I. S. Asymptotics of complex spatio-temporal structures in the systems with large delay. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 4, pp. 137-146. DOI: 10.18500/0869-6632-2008-16-4-137-146

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Russian
Article type: 
Article
UDC: 
517.9

Asymptotics of complex spatio-temporal structures in the systems with large delay

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

The local dynamics is considered of differential equations with two delays in the case of one delay is asymptotically large. Under this condition, critical cases have infinite dimension. As the normal form equations the Ginzburg–Landau equations have been. Their nonlocal dynamics defines local behavior of solutions of initial equations. 

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Received: 
14.01.2008
Accepted: 
14.01.2008
Published: 
31.10.2008
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