Networks of Active Elements
Networks of Active Elements
Spring 2002
Hermann Riecke and Sara Solla
Projects
- Globally coupled oscillators - Kuramoto model [1,2,3]
- Integrate-and-Fire Models of Neurons [4]
- Complex Ginzburg-Landau equation [5,6,7]
- Dynamics of small-world networks [8,9,10]
References
- [1]
-
S. H. Strogatz.
From Kuramoto to Crawford: Exploring the onset of synchronization
in populations of coupled oscillators.
Physica D, 143(1-4):1-20, September 2000.
- [2]
-
Y. Kuramoto.
Chemical oscillations, waves, and turbulence, volume 19 of
Springer series in synergetics.
Springer, 1984.
- [3]
-
K. Wiesenfeld, P. Colet, and S. H. Strogatz.
Synchronization transitions in a disordered Josephson series array.
Phys. Rev. Lett., 76(3):404-407, January 1996.
- [4]
-
P. C. Bressloff and S. Coombes.
Dynamics of strongly coupled spiking neurons.
Neural Comput., 12(1):91, January 2000.
- [5]
-
I. S. Aranson and L. Kramer.
The world of the complex Ginzburg-Landau equation.
Rev. Mod. Phys., 74:99, 2002.
- [6]
-
M. van Hecke.
The building blocks of spatiotemporal intermittency.
Phys. Rev. Lett., 80:1896, 1998.
- [7]
-
Alessandro Torcini Lutz Brusch.
Modulated amplitude waves and defect formation in the one-dimensional
complex Ginzburg-Landau equation.
Physica D, 160:127, 2001.
- [8]
-
L. F. Lago-Fernandez, R. Huerta, F. Corbacho, and J. A. Siguenza.
Fast response and temporal coherent oscillations in small-world
networks.
Phys. Rev. Lett., 84(12):2758-2761, March 2000.
- [9]
-
H. Hong, M. Y. Choi, and B. J. Kim.
Synchronization on small-world networks.
Phys. Rev. E, 65(2):026139, February 2002.
- [10]
-
X. F. Wang and G. R. Chen.
Synchronization in small-world dynamical networks.
Int. J. Bifurcation Chaos, 12(1):187-192, January 2002.
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