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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2008, Volume 4, Number 2, Pages 113–132
(Mi nd226)
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This article is cited in 2 scientific papers (total in 2 papers)
Critical point of accumulation of fold-flip bifurcation points and critical quasi-attractor (the review and new results)
A. P. Kuznetsovab, S. P. Kuznetsovab, I. R. Sataevb, Yu. V. Sedovaab a Saratov State University named after N. G. Chernyshevsky
b Saratov Branch of the Institute of Radio Engineering and Electronics
Abstract:
In paper we suggest an example of system which dynamics is answered to conception of a «critical quasi-attractor». Besides the brief review of earlier obtained results the new results are presented, namely the illustrations of scaling for basins of attraction of elements of critical quasi-attractor, the renormalization group approach in the presence of additive uncorrelated noise, the calculation of universal constant responsible for the scaling regularities of the noise effect, the illustrations of transitions initialized by noise that are realized between coexisted attractors.
Keywords:
quasi-attractor, renormalization group method, type of criticality, bifurcation, scaling, noise.
Received: 03.12.2007
Citation:
A. P. Kuznetsov, S. P. Kuznetsov, I. R. Sataev, Yu. V. Sedova, “Critical point of accumulation of fold-flip bifurcation points and critical quasi-attractor (the review and new results)”, Nelin. Dinam., 4:2 (2008), 113–132
Linking options:
https://www.mathnet.ru/eng/nd226 https://www.mathnet.ru/eng/nd/v4/i2/p113
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Abstract page: | 272 | Full-text PDF : | 118 | First page: | 1 |
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