Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks

Chaos

Volumn 22, Issue 4, 2012, Pages

  Laing, Carlo R ^a  

^a MASSEY UNIVERSITY   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84871912971     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4758814     Document Type: Article

References (55)

1. Camazine S. Deneubourg J. Franks N. Sneyd J. Theraula G. Bonabeau E. Self-Organization in Biological Systems 2003, and (Princeton University Press).
2. Pikovsky A. Rosenblum M. Kurths J. Synchronization 2003, and (Cambridge University Press, Cambridge, UK).
3. Winfree A.T. The Geometry of Biological Time 1980, (Springer, New York).
4. Popovych O.V. Maistrenko Y.L. Tass P.A. Phys. Rev. E 2005, 71:065201. 10.1103/PhysRevE.71.065201
5. Baesens C. Guckenheimer J. Kim S. MacKay R. Physica D 1991, 49:387. 10.1016/0167-2789(91)90155-3
6. Matthews P. Mirollo R. Strogatz S. Physica D 1991, 52:293. 10.1016/0167-2789(91)90129-W
7. Strogatz S. Mirollo R. J. Stat. Phys. 1991, 63:613. 10.1007/BF01029202
8. Strogatz S. Physica D 2000, 143:1. 10.1016/S0167-2789(00)00094-4.
9. Abrams D. Mirollo R. Strogatz S. Wiley D. Phys. Rev. Lett. 2008, 101:084103. 10.1103/PhysRevLett.101.084103
10. Laing C.R. Physica D 2009, 238:1569. 10.1016/j.physd.2009.04.012.
11. Acebrón J. Bonilla L. Pérez Vicente C. Ritort F. Spigler R. Rev. Mod. Phys. 2005, 77:137. 10.1103/RevModPhys.77.137
12. Balmforth N. Sassi R. Physica D: Nonlinear Phenom. 2000, 143:21. 10.1016/S0167-2789(00)00095-6
13. Wolfrum M. Omel'chenko O.E. Yanchuk S. Maistrenko Y.L. Chaos 2011, 21:013112. 10.1063/1.3563579
14. Bick C. Timme M. Paulikat D. Rathlev D. Ashwin P. Phys. Rev. Lett. 2011, 107:244101. 10.1103/PhysRevLett.107.244101
15. So P. Barreto E. Chaos 2011, 21:033127. 10.1063/1.3638441
16. Ott E. Hunt B.R. Antonsen T.M. Chaos 2011, 21:025112. 10.1063/1.3574931
17. Ott E. Antonsen T.M. Chaos 2009, 19:023117. 10.1063/1.3136851
18. Ott E. Antonsen T.M. Chaos 2008, 18:037113. 10.1063/1.2930766
19. Martens E.A. Barreto E. Strogatz S.H. Ott E. So P. Antonsen T.M. Phys. Rev. E 2009, 79:026204. 10.1103/PhysRevE.79.026204
20. Luce B. Physica D: Nonlinear Phenom. 1995, 84:553. 10.1016/0167-2789(95)00047-8.
21. Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos 2003, (Springer Verlag), Vol. 2.
22. Sparrow C. The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors 1982, (Springer Verlag), Vol. 41.
23. Laing C.R. Chaos 2009, 19:013113. 10.1063/1.3068353.
24. Montbrió E. Kurths J. Blasius B. Phys. Rev. E 2004, 70:056125. 10.1103/PhysRevE.70.056125
25. Barreto E. Hunt B. Ott E. So P. Phys. Rev. E 2008, 77:036107. 10.1103/PhysRevE.77.036107
26. Skardal P. Restrepo J. Phys. Rev. E 2012, 85:016208. 10.1103/PhysRevE.85.016208
27. Abrams D. Strogatz S. Phys. Rev. Lett. 2004, 93:174102. 10.1103/PhysRevLett.93.174102
28. Abrams D. Strogatz S. Int. J. Bifurcation. Chaos 2006, 16:21. 10.1142/S0218127406014551
29. Shima S. Kuramoto Y. Phys. Rev. E 2004, 69:036213. 10.1103/PhysRevE.69.036213
30. Tinsley M. Nkomo S. Showalter K. Nat. Phys. 2012, 8:662-665. 10.1038/nphys2371
31. Wiesenfeld K. Colet P. Strogatz S.H. Phys. Rev. E 1998, 57:1563. 10.1103/PhysRevE.57.1563
32. Dörfler F. Bullo F. SIAM J. Control Optim. 2012, 50:1616. 10.1137/110851584
33. Hagerstrom A. Murphy T. Roy R. Hövel P. Omelchenko I. Schöll E. Nat. Phys. 2012, 8:658-661. 10.1038/nphys2372
34. Martens E.A. Phys. Rev. E 2010, 82:016216. 10.1103/PhysRevE.82.016216.
35. Laing C.R. Physica D: Nonlinear Phenom. 2011, 240:1960. 10.1016/j.physd.2011.09.009.
36. Montbrió E. Pazó D. Phys. Rev. Lett. 2011, 106:254101. 10.1103/PhysRevLett.106.254101
37. Skardal P.S. Ott E. Restrepo J.G. Phys. Rev. E 2011, 84:036208. 10.1103/PhysRevE.84.036208
38. Alonso L.M. Mindlin G.B. Chaos 2011, 21:023102. 10.1063/1.3574030
39. Lee W.S. Restrepo J.G. Ott E. Antonsen T.M. Chaos 2011, 21:023122. 10.1063/1.3596697
40. Marvel S.A. Strogatz S.H. Chaos 2009, 19:013132. 10.1063/1.3087132
41. Lee W.S. Ott E. Antonsen T.M. Phys. Rev. Lett. 2009, 103:044101. 10.1103/PhysRevLett.103.044101
42. Hong H. Strogatz S.H. Phys. Rev. Lett. 2011, 106:054102. 10.1103/PhysRevLett.106.054102
43. Childs L.M. Strogatz S.H. Chaos 2008, 18:043128. 10.1063/1.3049136
44. Barlev G. Antonsen T.M. Ott E. Chaos 2011, 21:025103. 10.1063/1.3596711
45. Laing C.R. Rajendran K. Kevrekidis I.G. Chaos 2012, 22:013132. 10.1063/1.3694118
46. Kuramoto Y. Chemical Oscillations, Waves, and Turbulence 1984, Berlin. (Springer).
47. 2011, matlab, version 7.13.0.564 (R2011b) (The MathWorks Inc., Natick, Massachusetts).
48. Watanabe S. Strogatz S. Physica D 1994, 74:197. 10.1016/0167-2789(94)90196-1
49. Pikovsky A. Rosenblum M. Phys. Rev. Lett. 2008, 101:264103. 10.1103/PhysRevLett.101.264103
50. Demeter G. Kramer L. Phys. Rev. Lett. 1999, 83:4744. 10.1103/PhysRevLett.83.4744
51. Deng B. SIAM J. Math. Anal. 1990, 21:693. 10.1137/0521037.
52. Kuznetsov Y. Elements of Applied Bifurcation Theory 1995, (Springer Verlag), Vol. 112.
53. Greene J.M. Kim J.-S. Physica D: Nonlinear Phenom. 1987, 24:213. 10.1016/0167-2789(87)90076-5
54. Stochastic Methods in Neuroscience 2009, 1-28. C. Laing, G. J. Lord, edited by and (OUP Oxford), pp.
55. Ermentrout G. Terman D. Mathematical Foundations of Neuroscience 2010, and (Springer Verlag), Vol. 35.