http://orcid.org/0000-0002-1851-1496
References
- J.T. Ariaratnam and S.H. Strogatz, Phase diagram for the Winfree model of coupled nonlinear oscillators, Phys. Rev. Lett. 86 (2001), pp. 4278. doi: 10.1103/PhysRevLett.86.4278
- D. Cumin and C.P. Unsworth, Generalising the Kuramoto model for the study of neuronal synchronization in the brain, Phys. D: Nonlinear Phenom. 226(2) (2007), pp. 181–196. doi: 10.1016/j.physd.2006.12.004
- G.B. Ermentrout, M. Pascal, and B.S. Gutkin, The effects of spike frequency adaptation and negative feedback on the synchronization of neural oscillators, Neural. Comput. 13(6) (2001), pp. 1285–1310. doi: 10.1162/08997660152002861
- A.M. Fink, Almost Periodic Differential Equations. Lecture Notes in Mathematics 377, Springer-Verlag, Springer, Berlin, 1974.
- W. Oukil, A. Kessi, and Ph. Thieullen, Synchronization hypothesis in the Winfree model, Dyn. Syst. 32(3) (2017), pp. 326–339. Taylor & Francis. doi: 10.1080/14689367.2016.1227303
- T. Saito, On dynamical systems in n-dimensional torus. Proceedings of the Symposium on Differential Equations and Dynamical Systems, Lecture Notes in Mathematics Vol. 206, 1971, pp. 18–19.
- D.D. Quinn, R.H. Rand, and S.H. Strogatz, Singular unlocking transition in the Winfree model of coupled oscillators. Phys. Rev. E 75 (2007), pp. 036218. doi: 10.1103/PhysRevE.75.036218
- A.T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators, J. Theor. Biol. 16 (1967), pp. 15–42. doi: 10.1016/0022-5193(67)90051-3