Intermittency of intermittencies

被引：15

作者：

Hramov, Alexander E. ^{[1
,2
]}

Koronovskii, Alexey A. ^{[1
,2
]}

Moskalenko, Olga I. ^{[1
,2
]}

Zhuravlev, Maxim O. ^{[1
,2
]}

Ponomarenko, Vladimir I. ^{[3
]}

Prokhorov, Mikhail D. ^{[3
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia

[2] Saratov State Tech Univ, Saratov 410054, Russia

[3] Russian Acad Sci, Inst RadioEngn & Elect, Saratov Branch, Saratov 410019, Russia

来源：

CHAOS | 2013年 / 23卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

ON-OFF INTERMITTENCY; PHASE SYNCHRONIZATION;

D O I：

10.1063/1.4819899

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A phenomenon of intermittency of intermittencies is discovered in the temporal behavior of two coupled complex systems. We observe for the first time the coexistence of two types of intermittent behavior taking place simultaneously near the boundary of the synchronization regime of coupled chaotic oscillators. This phenomenon is found both in the numerical and physiological experiments. The laws for both the distribution and mean length of laminar phases versus the control parameter values are analytically deduced. A very good agreement between the theoretical results and simulation is shown. (C) 2013 AIP Publishing LLC.

引用

页数：5

共 18 条

[1]

[Anonymous], 1995, CONTINUOUS WAVELET T

[2]

Berege P., 1988, ORDRE CHAOS

[3] Characterization of intermittent lag synchronization [J].

Boccaletti, S ;

Valladares, DL .

PHYSICAL REVIEW E, 2000, 62 (05) :7497-7500

[4] The synchronization of chaotic systems [J].

Boccaletti, S ;

Kurths, J ;

Osipov, G ;

Valladares, DL ;

Zhou, CS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101

[5] EXPERIMENTAL-EVIDENCE OF INTERMITTENCIES ASSOCIATED WITH A SUBHARMONIC BIFURCATION [J].

DUBOIS, M ;

RUBIO, MA ;

BERGE, P .

PHYSICAL REVIEW LETTERS, 1983, 51 (16) :1446-1449

[6] CHARACTERIZATION OF ON-OFF INTERMITTENCY [J].

HEAGY, JF ;

PLATT, N ;

HAMMEL, SM .

PHYSICAL REVIEW E, 1994, 49 (02) :1140-1150

[7] Detecting synchronization of self-sustained oscillators by external driving with varying frequency [J].

Hramov, AE ;

Koronovskii, AA ;

Ponomarenko, VI ;

Prokhorov, MD .

PHYSICAL REVIEW E, 2006, 73 (02)

[8] An approach to chaotic synchronization [J].

Hramov, AE ;

Koronovskii, AA .

CHAOS, 2004, 14 (03) :603-610

[9] On-off intermittency in time series of spontaneous paroxysmal activity in rats with genetic absence epilepsy [J].

Hramov, Alexander ;

Koronovskii, Alexey A. ;

Midzyanovskaya, I. S. ;

Sitnikova, E. ;

van Rijn, C. M. .

CHAOS, 2006, 16 (04)

[10] Detection of synchronization from univariate data using wavelet transform [J].

Hramov, Alexander E. ;

Koronovskii, Alexey A. ;

Ponomarenko, Vladimir I. ;

Prokhorov, Mikhail D. .

PHYSICAL REVIEW E, 2007, 75 (05)

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