Stability of networks of delay-coupled delay oscillators

EPL

Volumn 95, Issue 4, 2011, Pages

  Hofener J M ^a   Sethia, G C ^b   Gross, T ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b INSTITUTE FOR PLASMA RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80051734329     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/95/40002     Document Type: Article

References (41)

1. May R. M. 1973 Ecology 54 315
2. Roos A. M. D., Mccauley E. and Wilson W. G. 1991 Proc. R. Soc. London, Ser. B 246 117
3. Eggert J. and van Hemmen J. L. 2001 Neural Comput. 13 1923
4. De Jong H. 2002 J. Comput. Biol. 9 67
5. Arenas A., Diaz-Guilera A., Kurths J., Moreno Y. and Zhou C. 2008 Phys. Rep. 469 93
6. Englert A., Kinzel W., Aviad Y., Butkovski M., Reidler I., Zigzag M., Kanter I. and Rosenbluh M. 2010 Phys. Rev. Lett. 104 114102
7. Atay F. M. (ed) 2010 Complex Time-Delay Systems Theory and Applications (Berlin: Springer)
8. Callan K. E., Illing L., Gao Z., Gauthier D. J. and Schöll E. 2010 Phys. Rev. Lett. 104 113901
9. Schuster H. G. and Wagner P. 1989 Prog. Theor. Phys. 81 939
10. Dodla R., Sen A. and Johnston G. L. 2004 Phys. Rev. E 69 056217
11. Konishi K., Senda K. and Kokame H. 2008 Phys. Rev. E 78 056216
12. D'Huys O., Vicente R., Danckaert J. and Fischer I. 2010 Chaos 20 043127
13. Shrimali M. D., Sharan R., Prasad A. and Ramaswamy R. 2010 Phys. Lett. A 374 2636
14. Ponce C. M., Masoller C. and Martí A. C. 2009 Eur. Phys. J. B. 67 83
15. Atay F. M., Jost J. and Wende A. 2004 Phys. Rev. Lett. 92 144101
16. Atay F. M. 2006 J. Differ. Equ. 221 190
17. Gong X., Guan S., Wang X. and Lai C.-H. 2008 Phys. Rev. E 77 056212
18. Gross T. and Feudel U. 2006 Phys. Rev. E 73 016205
19. Gross T., Rudolf L., Levin S. A. and Dieckmann U. 2009 Science 325 747
20. Stiefs D., Gross T., Steuer R. and Feudel U. 2008 Int. J. Bifurcat. Chaos 18 2191
21. Yeakel J., Stiefs D., Novak M. and Gross T. 2011 Theor. Ecol. 1
22. Steuer R., Gross T., Selbig J. and Blasius B. 2006 Proc. Natl. Acad. Sci. U.S.A. 103 11868
23. Zumsande M. and Gross T. 2010 J. Theor. Biol. 265 481
24. Ahlborn A. and Parlitz U. 2004 Phys. Rev. Lett. 93 264101
25. Konishi K., Kokame H. and Hara N. 2010 Phys. Rev. E 81 016201
26. Glass L. and Mackey M. C. 1988 From Clocks to Chaos. The Rhythms of Life (Princeton: Princeton University Press)
27. Ikeda K. and Matsumoto K. 1987 Physica D 29 223
28. Guckenheimer J. and Holmes P. 1983 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (New York: Springer)
29. Fell D. 1992 Biochem. J. 286 313
30. Luzyanina T. and Roose D. 1996 J. Comput. Appl. Math. 72 379
31. Yanchuk S. and Perlikowski P. 2009 Phys. Rev. E 79 046221
32. Cvetković D., Doob M. and Sachs H. 1980 Spectra of Graphs (New York: Academic Press)
33. Flunkert V. and Schoell E. 2009 arXiv:0911.1633v1
34. Kuehn C. and Gross T. 2011 arXiv:1105.3662
35. Kuznetsov Y. A. 1995 Elements of Applied Bifurcation Theory (New York: Springer)
36. Gross T., Ebenhöh W. and Feudel U. 2005 Oikos 109 135
37. Goh K.-I., Kahng B. and Kim D. 2001 Phys. Rev. E 64 051903
38. Farkas I. J., Derényi I., Barabsi A.-L. and Vicsek T. 2001 Phys. Rev. E 64 026704
39. Dorogovtsev S. N., Goltsev A. V., Mendes J. F. F. and Samukhin A. N. 2003 Phys. Rev. E 68 046109
40. Kamp C. and Christensen K. 2005 Phys. Rev. E 71 041911
41. MacArthur B. D. and Snchez-García R. J. 2009 Phys. Rev. E 80 026117