Experimental study of the effect of parametric noise on the Andronov-Hopf bifurcation in brusselator

被引：1

作者：

Zakoretskii, K. V. ^{[1
]}

Semenov, V. V. ^{[1
]}

Vadivasova, T. E. ^{[1
]}

机构：

[1] NG Chernyshevskii Saratov State Univ, Astrakhanskaya Ul 83, Saratov 410012, Russia

来源：

JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS | 2016年 / 61卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

COHERENCE RESONANCE; BISTABLE SYSTEMS; COLORED NOISE; OSCILLATORS;

D O I：

10.1134/S106422691609014X

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Specific features of the Andronov-Hopf bifurcation in the model of brusselator in the presence of parametric noise are numerically and experimentally studied. Regularities of evolution of the probability distribution with an increase in the noise intensity are typical of the additive and multiplicative effect of the Gaussian white noise. The existence of bifurcation interval corresponding to the gradual transition to the generation regime is experimentally revealed for both additive and multiplicative noise.

引用

页码：1120 / 1128

页数：9

共 23 条

[1] Stochastic resonance: noise enhanced order [J].

Anishchenko, VS ;

Neiman, AB ;

Moss, F ;

Schimansky-Geier, L .

USPEKHI FIZICHESKIKH NAUK, 1999, 169 (01) :7-38

[2]

ANISHCHENKO VS, 1986, PISMA ZH TEKH FIZ+, V12, P740

[3]

[Anonymous], 1998, MULTIPLICATIVE ERGOD, DOI DOI 10.1007/978-3-662-12878-7_4

[4] Toward an understanding of stochastic Hopf bifurcation: A case study [J].

Arnold, L ;

Namachchivaya, NS ;

SchenkHoppe, KR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (11) :1947-1975

[5] Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances [J].

Bashkirtseva, Irina ;

Ryashko, Lev ;

Schurz, Henri .

CHAOS SOLITONS & FRACTALS, 2009, 39 (01) :72-82

[6] INFLUENCE OF NOISE ON DUFFING-VAN-DER POL OSCILLATORS [J].

EBELING, W ;

HERZEL, H ;

RICHERT, W ;

SCHIMANSKYGEIER, L .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1986, 66 (03) :141-146

[7] POSTPONEMENT OF HOPF BIFURCATIONS BY MULTIPLICATIVE COLORED NOISE [J].

FRONZONI, L ;

MANNELLA, R ;

MCCLINTOCK, PVE ;

MOSS, F .

PHYSICAL REVIEW A, 1987, 36 (02) :834-841

[8] STOCHASTIC RESONANCE IN BISTABLE SYSTEMS [J].

GAMMAITONI, L ;

MARCHESONI, F ;

MENICHELLASAETTA, E ;

SANTUCCI, S .

PHYSICAL REVIEW LETTERS, 1989, 62 (04) :349-352

[9]

Glandsdorff P., 1971, Thermodynamic theory of structure, stability and uc- tuations

[10] Interacting coherence resonance oscillators [J].

Han, SK ;

Yim, TG ;

Postnov, DE ;

Sosnovtseva, OV .

PHYSICAL REVIEW LETTERS, 1999, 83 (09) :1771-1774

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