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


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Slipushenko S. V., Tur A. V., Yanovsky V. V. Origin of intermittency in singular hamiltonian systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 91-110. DOI: 10.18500/0869-6632-2010-18-4-91-110

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Article
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530.182

Origin of intermittency in singular hamiltonian systems

Autors: 
Slipushenko Sergej Vasilevich, Institute of Monocrystals of NAS of Ukraine
Tur Anatolij Valentinovich, Institut de Recherche en Astrophysique et Planetologie
Yanovsky Vladimir Vladimirovich, Institute of Monocrystals of NAS of Ukraine
Abstract: 

In the paper we studied properties of conservative singular maps. It was found that under some conditions the intermittency without chaotic phases can be observed in these maps. The alternative mechanism of the intermittency origin in Hamiltonian singular systems was considered. Its general properties were discussed. We studied special properties of phase space structure in these systems. It is shown that Hamiltonian intermittency can be characterized by zero Lyapunov exponents. It gives us the possibility to classify it as pseoudochaos dynamics.

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Received: 
29.06.2009
Accepted: 
09.04.2010
Published: 
29.10.2010
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