Phase models with explicit time delays

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 1, 1998, Pages 905-908

  Izhikevich, Eugene M ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000752411     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.905     Document Type: Article

References (19)

1. J. Buck and E. Buck, Sci. Am. 234, 74 (1976).SCAMAC
2. A. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
3. C.S. Peskin, Mathematical Aspects of Heart Physiology (Courant Institute of Mathematical Sciences, NYU, New York, 1975).
4. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, New York, 1984).
5. C.M. Gray, J. Computational Neurosci. 1, 11 (1994).ZZZZZZ
6. F.C. Hoppensteadt and E.M. Izhikevich, Weakly Connected Neural Networks (Springer-Verlag, New York, 1997).
7. G.B. Ermentrout, J. Math. Biol. 12, 327 (1981).JMBLAJ
8. G.B. Ermentrout and N. Kopell, J. Math. Biol. 29, 195 (1991).JMBLAJ
9. H.G. Schuster and P. Wagner, Prog. Theor. Phys. 81, 939 (1989).PTPKAV
10. E. Niebur, H.G. Schuster, and D.M. Kammen, Phys. Rev. Lett. 67, 2753 (1991).PRLTAO
11. T.B. Luzyanina, Network 6, 43 (1995).NWRKEA
12. S. Kim, S.H. Park, and C.S. Ryu, Phys. Rev. Lett.79, 2911 (1997).PRLTAO
13. G.M. Shepherd, Neurobiology (Oxford University Press, New York, 1983).
14. G.B. Ermentrout, in Neural Modeling and Neural Networks, edited by F. Ventriglia (Pergamon Press, Oxford, 1994), pp. 79–110.
15. I.G. Malkin, Methods of Poincare and Liapunov in Theory of Non-linear Oscillations (Gostexizdat, Moscow, 1949) [in Russian, Metodi Puankare i Liapunova v Teorii Nelineinix Kolebanii(Gostexizdat, Moscow, 1949)].
16. I.G. Malkin, Some Problems in Nonlinear Oscillation Theory (Gostexizdat, Moscow, 1956) [in Russian, Nekotorye Zadachi Teorii Nelineinix Kolebanii (Gostexizdat, Moscow, 1956)].
17. I.I. Blechman Synchronization of Dynamical Systems (Science, Moscow, 1971) [in Russian, Sinchronizatzia Dinamicheskich Sistem (Science, Moscow, 1971)].
18. N. Fenichel, Indiana Univ. Math. J. 21, 193 (1971).ZZZZZZ
19. M.W. Hirsch, C.C. Pugh, and M. Shub, Invariant Manifolds (Springer-Verlag, New York, 1977).