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Intermittency in Hamiltonian systems

Intermittency in Hamiltonian systems

We consider 2D map with the singularity. Here we observe an intermittency behavior. This system can be interpreted in two ways. In the first way this map can arise like a result of quantization of the continuous Hamiltonian system with one degree of freedom. In the second way we can interpret this m...

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Bibliographic Details
Main Authors: Slipushenko, S.V., Tur, A.V., Yanovsky, V.V.
Format: Article
Language:English
Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2007
Series:Вопросы атомной науки и техники
Subjects:
Nonlinear dynamics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/110970
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Summary:We consider 2D map with the singularity. Here we observe an intermittency behavior. This system can be interpreted in two ways. In the first way this map can arise like a result of quantization of the continuous Hamiltonian system with one degree of freedom. In the second way we can interpret this map like a Poincaré section of some 2D Hamiltonian system. As is well known the behavior of a Poincaré section defines the system behavior as a whole. We investigate the mechanism of the chaos generation near singularity. We show that singularity can generate a stochastic sea in Hamiltonian systems under any value of a perturbation. Originating modes have intermittent structure.

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