Uncovering interaction of coupled oscillators from data

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 5, 2007, Pages

  Kralemann, Björn ^a   Cimponeriu, Laura ^a   Rosenblum, Michael ^a   Pikovsky, Arkady ^a   Mrowka, Ralf ^b  

^a UNIVERSITY OF POTSDAM   (Germany)

^b CHARITÉ UNIVERSITÄTSMEDIZIN BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLINGS; DATA REDUCTION; NATURAL FREQUENCIES; NUMERICAL METHODS;

COUPLED OSCILLATORS; COUPLED SYSTEMS; COUPLING STRENGTHS; PHASE DYNAMICS;

ELECTROMAGNETISM;

EID: 36049002412     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.055201     Document Type: Article

References (14)

1. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, U.K., 2004).
2. M. G. Rosenblum and A. S. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.045202 64, 045202 (R) (2001);
3. L. Cimponeriu, M. Rosenblum, and A. S. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046213 70, 046213 (2004).
4. A. M. Yacomotti, G. Mindlin, M. Giudici, S. Balle, S. Barland, and J. Tredicce, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.036227 66, 036227 (2002);
5. M. D. Prokhorov and V. I. Ponomarenko, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.016210 72, 016210 (2005);
6. I. Z. Kiss, Y. Zhai, and J. L. Hudson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.248301 94, 248301 (2005);
7. J. Miyazaki and S. Kinoshita, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.194101 96, 194101 (2006);
8. R. Mrowka, Am. J. Physiol. Regulatory Integrative Comp. Physiol. ZZZZZZ 0363-6119 145, R1395 (2003);
9. R. F. Galán, G. B. Ermentrout, and N. N. Urban, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.158101 94, 158101 (2005).
10. J. Gross, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 99, 2299 (2002).
11. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
12. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization. A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, U.K., 2001).
13. J. Pantaleone, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1501118 70, 992 (2002).
14. Each record provided about 4000 frames at a frame rate 25 Hz. The coordinates of pendula were determined via comparison of each video frame with the reference frame of pendula at rest [cf. T. Greczylo and E. Debowska, Eur. J. Phys. EJPHD4 0143-0807 10.1088/0143-0807/23/4/308 23, 441 (2002)].