Collective dynamics of ‘small-world’ networks

Winfree, A. T. The Geometry of Biological Time(Springer, New York, 1980).

Kuramoto, Y. Chemical Oscillations, Waves, and Turbulence(Springer, Berlin, 1984).

Strogatz, S. H. & Stewart, I. Coupled oscillators and biological synchronization. Sci. Am. 269(6), 102–109 (1993).

Bressloff, P. C., Coombes, S. & De Souza, B. Dynamics of a ring of pulse-coupled oscillators: a group theoretic approach. Phys. Rev. Lett. 79, 2791–2794 (1997).

Braiman, Y., Lindner, J. F. & Ditto, W. L. Taming spatiotemporal chaos with disorder. Nature 378, 465–467 (1995).

Wiesenfeld, K. New results on frequency-locking dynamics of disordered Josephson arrays. Physica B 222, 315–319 (1996).

Gerhardt, M., Schuster, H. & Tyson, J. J. Acellular automaton model of excitable media including curvature and dispersion. Science 247, 1563–1566 (1990).

Collins, J. J., Chow, C. C. & Imhoff, T. T. Stochastic resonance without tuning. Nature 376, 236–238 (1995).

Hopfield, J. J. & Herz, A. V. M. Rapid local synchronization of action potentials: Toward computation with coupled integrate-and-fire neurons. Proc. Natl Acad. Sci. USA 92, 6655–6662 (1995).

Abbott, L. F. & van Vreeswijk, C. Asynchronous states in neural networks of pulse-coupled oscillators. Phys. Rev. E 48(2), 1483–1490 (1993).

Nowak, M. A. & May, R. M. Evolutionary games and spatial chaos. Nature 359, 826–829 (1992).

Kauffman, S. A. Metabolic stability and epigenesis in randomly constructed genetic nets. J. Theor. Biol. 22, 437–467 (1969).

Milgram, S. The small world problem. Psychol. Today 2, 60–67 (1967).

Kochen, M. (ed.) The Small World(Ablex, Norwood, NJ, 1989).

Guare, J. Six Degrees of Separation: A Play(Vintage Books, New York, 1990).

Bollabás, B. Random Graphs(Academic, London, 1985).

Achacoso, T. B. & Yamamoto, W. S. AY's Neuroanatomy of C. elegans for Computation(CRC Press, Boca Raton, FL, 1992).

Wasserman, S. & Faust, K. Social Network Analysis: Methods and Applications(Cambridge Univ. Press, 1994).

Phadke, A. G. & Thorp, J. S. Computer Relaying for Power Systems(Wiley, New York, 1988).

Sattenspiel, L. & Simon, C. P. The spread and persistence of infectious diseases in structured populations. Math. Biosci. 90, 341–366 (1988).

Longini, I. M. J Amathematical model for predicting the geographic spread of new infectious agents. Math. Biosci. 90, 367–383 (1988).

Hess, G. Disease in metapopulation models: implications for conservation. Ecology 77, 1617–1632 (1996).

Blythe, S. P., Castillo-Chavez, C. & Palmer, J. S. Toward a unified theory of sexual mixing and pair formation. Math. Biosci. 107, 379–405 (1991).

Kretschmar, M. & Morris, M. Measures of concurrency in networks and the spread of infectious disease. Math. Biosci. 133, 165–195 (1996).

Das, R., Mitchell, M. & Crutchfield, J. P. in Parallel Problem Solving from Nature(eds Davido, Y., Schwefel, H.-P. & Männer, R.) 344–353 (Lecture Notes in Computer Science 866, Springer, Berlin, 1994).

Axelrod, R. The Evolution of Cooperation(Basic Books, New York, 1984).

Gray, C. M., König, P., Engel, A. K. & Singer, W. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338, 334–337 (1989).