Please use this identifier to cite or link to this item: http://essuir.sumdu.edu.ua/handle/123456789/1695
Or use following links to share this resource in social networks: Recommend this item
Title Теорія періодичної множини граничних циклів, що народжуються внаслідок біфукації хопфа
Authors Oliemskoi, Oleksandr Ivanovych
Shuda, Iryna Oleksandrivna  
ORCID http://orcid.org/0000-0003-0184-8057
Keywords
Type Article
Date of Issue 2007
URI http://essuir.sumdu.edu.ua/handle/123456789/1695
Publisher Видавництво СумДУ
License
Citation Олємской, О.І. Теорія періодичної множини граничних циклів, що народжуються внаслідок біфукації хопфа [Текст] / О.І. Олємской, І.О. Шуда // Вісник Сумського державного університету. Серія Фізика, математика, механіка. — 2007. — №1. — С. 86-94.
Abstract On the base of the Hamiltonian formalism, we show that the Hopf bifurcation arrives, in the course of the system evolution, at creation of revolving region of the phase plane being bounded by the limit cycle. A revolving phase plane with a set of limit cycles is presented in analogy with the revolving vessel containing superfluid He 4 . Within such a representation, fast varying angle is shown to be reduced to the phase of complex order parameter whose module squared plays a role of action. Respectively, the vector potential of the conjugate field is reduced to the relative velocity of motion of the limit cycle interior with respect to its exterior. From the physical point of view, it means that nontrivial self-organized system suppresses entirely external periodical fields with frequencies w0 bounded by a limit wc1 within the domain wc1
Appears in Collections: Журнал нано- та електронної фізики (Journal of nano- and electronic physics)

Views

Australia Australia
1
Brazil Brazil
1
China China
1
France France
3313
Germany Germany
468562
Greece Greece
33000
Iran Iran
2
Ireland Ireland
234283
Lithuania Lithuania
1
Mexico Mexico
1
Netherlands Netherlands
7
Romania Romania
1
Russia Russia
30
Singapore Singapore
1
Turkey Turkey
6
Ukraine Ukraine
1856942
United Kingdom United Kingdom
936722
United States United States
10776971
Unknown Country Unknown Country
55

Downloads

China China
4
France France
1
Germany Germany
405
Indonesia Indonesia
1
Ireland Ireland
1
Lithuania Lithuania
1
Netherlands Netherlands
1
Russia Russia
1
Sri Lanka Sri Lanka
1
Ukraine Ukraine
3711114
United Kingdom United Kingdom
1
United States United States
14309900
Unknown Country Unknown Country
107

Files

File Size Format Downloads
5_Olemskoi_Shuda.pdf 293.27 kB Adobe PDF 18021538

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.