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Regular and Chaotic Dynamics, 1996, Volume 1, Issue 2, Pages 104–110
DOI: https://doi.org/10.1070/RD1996v001n02ABEH000019
(Mi rcd1042)
 

Spatial Chaos of Swift-Howenberg Model

A.E. Pavlov, N. N. Simakov

Udmurt State University, Universitetskaya 1, 426034, Izhevsk
Abstract: A Hamiltonian setting of 1-dimensional static Swift-Hohenberg problem which describes a spatial disorder has been introduced. For studying this problem a Painlevé-Kowalevski method based on investigation of meromorphy of general solution is used. In conclusion a stochastic structure of the phase space is demonstrated by means of Poincaré section method.
Received: 25.11.1995
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: A.E. Pavlov, N. N. Simakov, “Spatial Chaos of Swift-Howenberg Model”, Regul. Chaotic Dyn., 1:2 (1996), 104–110
Citation in format AMSBIB
\Bibitem{PavSim96}
\by A.E.~Pavlov, N.~N.~Simakov
\paper Spatial Chaos of Swift-Howenberg Model
\jour Regul. Chaotic Dyn.
\yr 1996
\vol 1
\issue 2
\pages 104--110
\mathnet{http://mi.mathnet.ru/rcd1042}
\crossref{https://doi.org/10.1070/RD1996v001n02ABEH000019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1639157}
\zmath{https://zbmath.org/?q=an:0934.35164}
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