Enhancement of Neural Synchrony by Time Delay

Physical Review Letters

Volumn 92, Issue 7, 2004, Pages

  Dhamala, Mukeshwar ^a   Jirsa, Viktor K ^a   Ding, Mingzhou ^a  

^a FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; BIOLOGICAL MODEL; HUMAN; MEMBRANE POTENTIAL; NERVE CELL; NERVE CONDUCTION; PHYSIOLOGY;

ANIMALS; HUMANS; MEMBRANE POTENTIALS; MODELS, NEUROLOGICAL; NEURAL CONDUCTION; NEURONS;

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; OSCILLATORS (ELECTRONIC); PARAMETER ESTIMATION; STABILITY; SYNCHRONIZATION;

ISOCLINES; NEURONAL OSCILLATORS;

NEURAL NETWORKS;

EID: 1542400571     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.074104     Document Type: Article

References (24)

1. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
2. S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo, Phys. Rev. Lett. 61, 2380 (1988).10.1103/PhysRevLett.61.2380
3. P. Hadley, M.R. Beasley, and K.�Wiesenfeld, Phys. Rev. B 38, 8712 (1988); 10.1103/PhysRevB.38.8712
4. M.�Dhamala and K.�Wiesenfeld, Phys. Lett. A 292, 269 (2002).10.1016/S0375-9601(01)00790-3
5. A.T. Winfree, The Geometry of Biological Time (Springer, New York, 1980).
6. C.M. Gray, P. König, A.K. Engel, and W.�Singer, Nature (London) 338, 334 (1989).10.1038/338334a0
7. Synchronization of nonlinear oscillators is a rich field now and the list of relevent references can be very long here. See, for example, (i) J.D. Murray, Mathematical Biology (Springer, New York, Berlin, Heidelberg, 1993), 2nd ed.;
8. (ii) A.�Pikovsky, M.�Rosenblum, and J.�Kurths, Synchronization (Cambridge University Press, Cambridge, 2001);
9. (iii) J.A.S. Kelso, Dynamic Patterns: The Self-Organization of Brain and Behavior (MIT Press, Cambridge, MA, 1995);
10. (iv) S.H. Strogatz, Sync: The Emerging Science of Spontaneous Order (Hyperion, New York, 2003), and references therein.
11. R. Eckhorn, R. Bauer, W.�Jordan, M.�Brosch, W.�Kruse, M.�Munk, and H.J. Reitboeck, Biol. Cybern. 60, 121 (1988).
12. E.R. Kandel, J.H. Schwartz, and T.M. Jessell, Principles of Neural Science (Elsevier, New York, 1991), 3rd ed.
13. H.G. Schuster and P. Wagner, Prog. Theor. Phys. 81, 939 (1989).
14. D.V.R. Reddy, A.�Sen, and G.L. Jhonston, Phys. Rev. Lett. 80, 5109 (1998).10.1103/PhysRevLett.80.5109
15. S.H. Strogatz, Nature (London) 394, 316 (1998).10.1038/28488
16. A. Takamatsu, T. Fujii, and I. Endo, Phys. Rev. Lett. 85, 2026 (2000).10.1103/PhysRevLett.85.2026
17. D.V.R. Reddy, A. Sen, and G.L. Jhonston, Phys. Rev. Lett. 85, 3381 (2000).10.1103/PhysRevLett.85.3381
18. J.L. Hindmarsh and R.M. Rose, Nature (London) 296, 162 (1982).
19. J.L. Hindmarsh and R.M. Rose, Proc. R. Soc. London, Ser. BPRLBA4 221, 87 (1984).
20. L.M. Pecora and T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998).10.1103/PhysRevLett.80.2109
21. J.E. Desmedt and C. Tomberg, Neurosci. Lett.NELED5 168, 126 (1994).10.1016/0304-3940(94)90432-4
22. W.H.R. Miltner, C. Braun, M.�Arnold, H.�Witte, and E.�Taub, Nature (London) 397, 434 (1999)10.1038/17126
23. C. Tallon-Baudry, O. Bertrand, and C.�Fischer, J. Neurosci. 21, 1 (2001).
24. P.R. Roelfsema, A.K. Engel, P.�König, and W.�Singer, Nature (London) 385, 157 (1997).10.1038/385157a0