Chimera states: The natural link between coherence and incoherence

Physical Review Letters

Volumn 100, Issue 4, 2008, Pages

  Omel'Chenko, Oleh E ^a,b,d   Maistrenko, Yuri L ^a,d   Tass, Peter A ^a,c,e  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c UNIVERSITY OF COLOGNE   (Germany)

^d INSTITUTE OF MATHEMATICS   (Ukraine)

^e Brain Imaging Center West   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FEEDBACK;

COHERENCE COEXISTS; INDUCES CHIMERA STATES; SPATIOTEMPORAL PATTERNS;

COHERENT LIGHT;

EID: 38849086596     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.044105     Document Type: Article

References (29)

1. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
2. S.H. Strogatz, Physica (Amsterdam) 143D, 1 (2000); PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4
3. A. Winfree, The Geometry of Biological Time (Springer-Verlag, Berlin, 2001);
4. A. Pikovsky, Synchronization, A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001);
5. E. Mosekilde, Chaotic Synchronization: Application to Living Systems (World Scientific, Singapore, 2002);
6. P.A. Tass, Phase Resetting in Medicine and Biology (Springer-Verlag, Berlin, 1999).
7. S. Boccaletti, Phys. Rep. 366, 1 (2002). PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0
8. G. Kozyreff, Phys. Rev. Lett. 85, 3809 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.3809
9. P. Ashwin, Nonlinearity 9, 703 (1996); NONLE5 0951-7715 10.1088/0951-7715/9/3/006
10. V. Belykh, Phys. Rev. E 62, 6332 (2000); PLEEE8 1063-651X 10.1103/PhysRevE.62.6332
11. W. Wang, Chaos CHAOEH 1054-1500 10, 248 (2000); 10.1063/1.166470
12. Y. Maistrenko, Phys. Rev. Lett. 93, 084102 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.084102
13. D. Pazo, Phys. Rev. E 72, 046211 (2005). PLEEE8 1063-651X 10.1103/PhysRevE.72.046211
14. Y. Kuramoto and D. Battogtokh, Nonlinear Phenom. Complex Syst. 5, 380 (2002). NPCSFD 1386-288X
15. Y. Kuramoto, in Nonlinear Dynamics and Chaos: Where Do We Go from Here?, edited by, S.J. Hogan, (Institute of Physics, Bristol, England, 2003), p. 209.
16. S.I. Shima and Y. Kuramoto, Phys. Rev. E 69, 036213 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.69.036213
17. D.M. Abrams and S.H. Strogatz, Phys. Rev. Lett. 93, 174102 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.174102
18. D.M. Abrams and S.H. Strogatz, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 16, 21 (2006). 10.1142/S0218127406014551
19. M.K.S. Yeung and S.H. Strogatz, Phys. Rev. Lett. 82, 648 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.648
20. M.G. Rosenblum and A.S. Pikovsky, Phys. Rev. Lett. 92, 114102 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.114102
21. O. Popovych, Phys. Rev. Lett. 94, 164102 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.164102
22. N. Janson, Phys. Rev. Lett. 93, 010601 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.010601
23. B. Hauschildt, Phys. Rev. E 74, 051906 (2006); PLEEE8 1063-651X 10.1103/PhysRevE.74.051906
24. A. Balanov, Phys. Rev. E 74, 016214 (2006). PLEEE8 1063-651X 10.1103/PhysRevE.74.016214
25. C. Hauptmann, Phys. Rev. E 76, 066209 (2007). PLEEE8 1063-651X 10.1103/PhysRevE.76.066209
26. O. Omel'chenko, Physica D (Amsterdam) PDNPDT 0167-2789 doi: 10.1016/j.physd.2007.09.019 (2008).
27. N. Yousif and X. Liu, Expert Rev. Med. Dev. 4, 623 (2007). 1743-4440 10.1586/17434440.4.5.623
28. P.A. Tass and H. Haken, Z. Phys. B ZPCMDN 0722-3277 100, 303 (1996). 10.1007/s002570050126
29. W. Singer and C.M. Gray, Annu. Rev. Neurosci. 18, 555 (1995). ARNSD5 0147-006X 10.1146/annurev.ne.18.030195.003011