Professor
Department of Theoretical and Applied Mechanics
EXPERTISE
Applied mathematics; interdisciplinary work in nonlinear science and complex systems
CURRENT RESEARCH INTERESTS
Mathematical explorations of the small-world phenomenon in social networks; complex networks in the natural and social sciences using ideas from graph theory, statistical physics, and nonlinear dynamics
RELATED LINKS
SELECTED PUBLICATIONS
Sync: The Emerging Science of Spontaneous Order. New York: Hyperion, 2003.
"Exploring Complex Networks." Nature 410, 2001. Pp. 268-76.
(With D. Watts) "Collective Dynamics of 'Small-World' Networks." Nature 393, 1998. Pp. 440-2.
(With K. Wiesenfeld and P. Colet). "Synchronization Transitions in a Disordered Josephson Series Array." Physical Review Letters 76, 1996. Pp. 404-7.
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Reading, MA: Perseus Books, 1994.
(With I. Stewart) "Coupled Oscillators and Biological Synchronization." Scientific American 269.6, 1993. Pp. 102-9.
(With K. Cuomo and A. Oppenheim). "Synchronization of Lorenz-Based Chaotic Circuits, with Applications to Communications." IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing 40, 1993. Pp. 626-33.
"Love Affairs and Differential Equations." Mathematics Magazine 61, 1988. Pg. 35.
The Mathematical Structure of the Human Sleep-Wake Cycle. Lecture Notes in Biomathematics 69. New York: Springer-Verlag, 1986.
