Transition from spatial coherence to incoherence in coupled chaotic systems

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

Volumn 85, Issue 2, 2012, Pages

  Omelchenko, Iryna ^a,b   Riemenschneider, Bruno ^a   Hövel, Philipp ^a,b   Maistrenko, Yuri ^c,d   Schöll, Eckehard ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c INSTITUTE OF MATHEMATICS   (Ukraine)

^d INSTITUTE OF HYDROBIOLOGY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC MODEL; COUPLED CHAOTIC SYSTEM; COUPLING STRENGTHS; CRITICAL COUPLING; LOGISTIC MAPS; LORENZ SYSTEM; NEAREST NEIGHBORS; NON-LOCAL INTERACTIONS; SCALING RELATIONS; SPATIAL CHAOS; SPATIAL COHERENCE; SPATIAL PATTERNS; SPATIO-TEMPORAL DYNAMICS;

CONDENSED MATTER PHYSICS; PHYSICS;

CHAOTIC SYSTEMS;

EID: 84857766265     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.026212     Document Type: Article

References (38)

1. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer-Verlag, Berlin, 1984).
2. K. Kaneko and I. Tsuda, Chaos and Beyond, A Constructive Approach with Applications in Life Sciences (Springer, Berlin, 1996).
3. E. Mosekilde, Y. Maistrenko, and D. Postnov, Chaotic Synchronization: Applications to Living Systems (World Scientific, Singapore, 2002).
4. A. S. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Vol. 12 (Cambridge University Press, Cambridge, 2003).
5. Handbook of Chaos Control, edited by E. Schöll and H. G. Schuster (Wiley-VCH, Weinheim, 2008).
6. H. Nakao and A. S. Mikhailov, Nature Physics 1745-2473 10.1038/nphys1651 6, 544 (2010).
7. L. B. Shaw, I. B. Schwartz, E. A. Rogers, and R. Roy, Chaos CHAOEH 1054-1500 10.1063/1.2150407 16, 015111 (2006). (Pubitemid 43528825)
8. I. Fischer, R. Vicente, J. M. Buldú, M. Peil, C. R. Mirasso, M. C. Torrent, and J. García-Ojalvo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.123902 97, 123902 (2006). (Pubitemid 44414738)
9. Y. Kuramoto and D. Battogtokh, Nonlin. Phen. Complex Sys. 5, 380 (2002).
10. D. M. Abrams and S. H. Strogatz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.174102 93, 174102 (2004).
11. D. M. Abrams and S. H. Strogatz, Int. J. Bif. Chaos IJBEE4 0218-1274 10.1142/S0218127406014551 12, 21 (2006). (Pubitemid 43383889)
12. O. E. Omel'chenko, Y. L. Maistrenko, and P. A. Tass, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.044105 100, 044105 (2008). (Pubitemid 351198052)
13. C. R. Laing, Physica D PDNPDT 0167-2789 10.1016/j.physd.2009.04.012 238, 1569 (2009).
14. C. R. Laing, Chaos CHAOEH 1054-1500 10.1063/1.3068353 19, 013113 (2009).
15. M. Wolfrum and O. E. Omel'chenko, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.015201 84, 015201 (2011).
16. M. Wolfrum, O. E. Omel'chenko, S. Yanchuk, and Y. L. Maistrenko, Chaos CHAOEH 1054-1500 10.1063/1.3563579 21, 013112 (2011).
17. W. S. Lee, J. G. Restrepo, E. Ott, and T. M. Antonsen, Chaos CHAOEH 1054-1500 10.1063/1.3596697 21, 023122 (2011).
18. C. R. Laing, Physica D PDNPDT 0167-2789 10.1016/j.physd.2011.09.009 240, 1960 (2011).
19. R. Singh, S. Dasgupta, and S. Sinha, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/95/10004 95, 10004 (2011).
20. H. Sakaguchi, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.100.467 100, 467 (1998).
21. I. Omelchenko, Y. Maistrenko, P. Hövel, and E. Schöll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.234102 106, 234102 (2011).
22. S. N. Chow and J. Mallet-Paret, IEEE Trans. Circuit Syst. ITCAEX 1057-7122 10.1109/81.473583 42, 746 (1995).
23. L. P. Nizhnik, I. L. Nizhnik, and M. Hasler, Int. J. Bif. Chaos IJBEE4 0218-1274 10.1142/S0218127402004322 12, 261 (2002). (Pubitemid 34862044)
24. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109 80, 2109 (1998).
25. M. Chavez, D. U. Hwang, A. Amann, H. G. E. Hentschel, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.218701 94, 218701 (2005). (Pubitemid 41636715)
26. D. U. Hwang, M. Chavez, A. Amann, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.138701 94, 138701 (2005). (Pubitemid 40620522)
27. C. U. Choe, T. Dahms, P. Hövel, and E. Schöll, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.025205 81, 025205 (R) (2010).
28. V. Flunkert, S. Yanchuk, T. Dahms, and E. Schöll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.254101 105, 254101 (2010).
29. S. Heiligenthal, T. Dahms, S. Yanchuk, T. Jüngling, V. Flunkert, I. Kanter, E. Schöll, and W. Kinzel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.234102 107, 234102 (2011).
30. V. Flunkert and E. Schöll, e-print arXiv: 1111.5131v1.
31. M. Dhamala, V. K. Jirsa, and M. Ding, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.074104 92, 074104 (2004).
32. M. Dhamala, V. K. Jirsa, and M. Ding, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.028101 92, 028101 (2004).
33. J. Lehnert, T. Dahms, P. Hövel, and E. Schöll, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/60013 96, 60013 (2011).
34. F. Sorrentino and E. Ott, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.056114 76, 056114 (2007). (Pubitemid 350137207)
35. K. Kaneko and I. Tsuda, Chaos CHAOEH 1054-1500 10.1063/1.1607783 13, 926 (2003). (Pubitemid 37180744)
36. G. C. Sethia, A. Sen, and F. M. Atay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.144102 100, 144102 (2008). (Pubitemid 351535536)
37. C. R. Laing, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.066221 81, 066221 (2010).
38. O. E. Omel'chenko, M. Wolfrum, and Y. L. Maistrenko, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.065201 81, 065201 (R) (2010).