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


For citation:

Korzinov L. N., Nikulin A. S., Rabinovich M. I. Dynamics of defects in target pattern and origin of spirals with a high topological charge. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 2, pp. 73-80. DOI: 10.18500/0869-6632-1994-2-2-73-80

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Language: 
Russian
Article type: 
Article
UDC: 
530.182

Dynamics of defects in target pattern and origin of spirals with a high topological charge

Autors: 
Korzinov Lev Nikolaevich, Institute of Applied Physics of the Russian Academy of Sciences
Nikulin Andrej Sergeevich, Institute of Applied Physics of the Russian Academy of Sciences
Rabinovich Mihail Izrailevich, University of California, San Diego
Abstract: 

Recently, Ahlers and his group demonstrated remarkable experiments on the convection of gaseous CO2 in a large aspect ratio cylindrical cell. They discovered formation of stable multiarmed spirals (with the topological charge from 1 to 13). In this work it is shown that the multiarmed spiral is a result of the evolution of defects against the background of a cylindrical target. As a result of the interaction of the defects with the cylindrical structure and with each other the defects come to the target center and a stable multiarmed spiral is formed. The topological charge of this spiral depends on the initial number of defects of different signs. Analysis of the pattern evolution in the framework of the Swift — Hohenberg (SH) equation confirms this scenario of spiral formation. Taking into account small nonpotential terms in the frame of complex SH model it is possible to describe rotation of multiarmed spirals.

Key words: 
Acknowledgments: 
The work was carried out with financial support from the Russian Foundation for Basic Research (project 9302-15424).
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Received: 
29.04.1994
Accepted: 
31.05.1994
Published: 
08.08.1994