Center manifold reduction for large populations of globally coupled phase oscillators

Chaos

Volumn 21, Issue 4, 2011, Pages

  Chiba, Hayato ^a   Nishikawa, Isao ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COMPUTER SIMULATION; FEEDBACK SYSTEM; METHODOLOGY; NONLINEAR SYSTEM; OSCILLOMETRY;

COMPUTER SIMULATION; FEEDBACK; NONLINEAR DYNAMICS; OSCILLOMETRY;

EID: 84855292010     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3647317     Document Type: Article

References (18)

1. Pikovsky A. Rosenblum M. Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences 2001, and (Cambridge University Press, Cambridge).
2. Kuramoto Y. Chemical Oscillations, Waves, and Turbulence 1984, (Springer-Verlag, Berlin).
3. Strogatz S.H. Physica D 2000, 143:1. 10.1016/S0167-2789(00)00094-4.
4. Daido H. Physica D 1996, 91:24. 10.1016/0167-2789(95)00260-X.
5. Mirollo R.E. Strogatz S.H. J. Stat. Phys. 1990, 60:245. 10.1007/BF01013676
6. Mirollo R.E. Strogatz S.H. J. Nonlinear Sci. 2007, 17:309. 10.1007/s00332-006-0806-x
7. Strogatz S.H. Mirollo R.E. J. Stat. Phys. 1991, 63:613. 10.1007/BF01029202
8. Strogatz S.H. Mirollo R.E. Matthews P.C. Phys. Rev. Lett. 1992, 68:2730. 10.1103/PhysRevLett.68.2730
9. Crawford J.D. Davies K.T. R. Physica D 1999, 125:1. 10.1016/S0167-2789(98)00235-8
10. Ott E. Antonsen T.M. Chaos 2008, 18:037113. 10.1063/1.2930766.
11. Marvel S.A. Mirollo R.E. Strogatz S.H. Chaos 2009, 19:043104. 10.1063/1.3247089.
12. Pikovsky A. Rosenblum M. Phys. Rev. Lett. 2008, 101:264103. 10.1103/PhysRevLett.101.264103
13. Chiba H. e-print arXiv:1008.0249.
14. Balmforth N.J. Sassi R. Physica D 2000, 143:21. 10.1016/S0167-2789(00)00095-6
15. Gelfand I.M. Vilenkin N.Y. Generalized Functions 1964, 4. and (Springer-Verlag, New York, ), Vol.
16. Bohm A. Gadella M. Dirac kets, Gamow Vectors and Gelfand Triplets 1989, and (Lecture Notes in Physics, 348, Springer-Verlag, Berlin, ).
17. 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
18. Tönjes R. Masuda N. Kori H. Chaos 2010, 20:033108. 10.1063/1.3476316