Testing for phase synchronization

被引：40

作者：

Allefeld, C

Kurths, J

机构：

[1] Univ Potsdam, Nonlinear Dynam Grp Conflicting Rules, Inst Phys, D-14415 Potsdam, Germany

[2] Univ Potsdam, Nonlinear Dynam Grp, Res Grp, D-14415 Potsdam, Germany

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 02期

关键词：

statistical test; phase synchronization; directional statistics; resampling;

D O I：

10.1142/S021812740400951X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present different tests for phase synchronization which improve the procedures currently used in the literature. This is accomplished by using a two-sample test setup and by utilizing insights and methods from directional statistics and bootstrap theory. The tests differ in the generality of the situation in which they can be applied as well as in their complexity, including computational cost. A modification of the resampling technique of the bootstrap is introduced, making it possible to fully utilize data from time series.

引用

页码：405 / 416

页数：12

共 35 条

[1]

AFRAIMOVICH VS, 1986, IZV VUZ RADIOFIZ+, V29, P1050

[2] Synchronization of homoclinic chaos [J].

Allaria, E ;

Arecchi, FT ;

Di Garbo, A ;

Meucci, R .

PHYSICAL REVIEW LETTERS, 2001, 86 (05) :791-794

[3] Entrainment between heart rate and weak noninvasive forcing [J].

Anishchenko, VS ;

Balanov, AG ;

Janson, NB ;

Igosheva, NB ;

Bordyugov, GV .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (10) :2339-2348

[4] Application of non-linear analysis to intensity oscillations of the chromospheric bright points [J].

Bhattacharya, J ;

Pereda, E ;

Kariyappa, R ;

Kanjilal, PP .

SOLAR PHYSICS, 2001, 199 (02) :267-290

[5] Complex dynamics and phase synchronization in spatially extended ecological systems [J].

Blasius, B ;

Huppert, A ;

Stone, L .

NATURE, 1999, 399 (6734) :354-359

[6] 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

[7] Detecting phase synchronization in a chaotic laser array [J].

DeShazer, DJ ;

Breban, R ;

Ott, E ;

Roy, R .

PHYSICAL REVIEW LETTERS, 2001, 87 (04) :44101-1

[8]

Efron B., 1994, INTRO BOOTSTRAP, DOI DOI 10.1201/9780429246593

[9] STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].

FUJISAKA, H ;

YAMADA, T .

PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47

[10] Early seizure detection [J].

Jerger, KK ;

Netoff, TI ;

Francis, JT ;

Sauer, T ;

Pecora, L ;

Weinstein, SL ;

Schiff, SJ .

JOURNAL OF CLINICAL NEUROPHYSIOLOGY, 2001, 18 (03) :259-268

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