Abstract
Synchronization in chaotic oscillatory systems has a wide array of applications in biology, physics and communication systems. Over the past 10 years there has been considerable interest in the synchronization properties of small-world and scale-free networks. In this paper, we define the fitness of a configuration of coupled oscillators as its ability to synchronize. We then employ an optimization algorithm to determine network structures that lead to an enhanced ability to synchronize. The optimized networks generally have low clustering, small diameters, short path-length, are disassortative, and have a high degree of homogeneity in their degree and load distributions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Brede, M., Newth, D.: Evolving networks with optimized synchronization properties. Physical Review E (2005) (Under Review)
Brede, M., Sinha, S.: Assortativity reduces stability of degree correlated networks (2005) (in preperation)
Hong, H., Kim, B.J., Chio, M.Y., Park, H.: Factors that predict better synchronizability on complex networks. arXiv:cond-mat/0403745v1 (2004)
Newman, M.E.J.: Mixing patterns in networks. Physical Review EÂ 67, 026126 (2003)
Nishikawa, T., Motter, A.E., Lai, Y.-C., Hop-pensteadt, F.C.: Heterogeneity in Oscillator Networks: Are Smaller Worlds Easier to Synchronize? Physical Review Letters 91(1), 014101 (2003)
Pecora, L.M., Carroll, T.L.: Master stability functions for synchronized coupled systems. Physical Review Letters 80(10), 2109–2112 (1998)
Strogatz, S.H.: From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators. Phyica D 143, 1–20 (2000)
Strogatz, S.H.: Exploring complex networks. Nature 410, 268–276 (2001)
Strogatz, S.H.: Sync: the emerging science of spontaneous order. Hyperion, New York, Tanner H, Jadbabaie A, Pappas (2003)
Watts, D.J.: Small Worlds. Princeton University Press, Princeton (1999)
Winfree, A.T.: The geometry of biological time. Springer, Heidelberg (2000) (Wolf JA, Schroeder LF, Finkel LH)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Newth, D., Brede, M. (2005). Optimizing Coupled Oscillators for Stability. In: Zhang, S., Jarvis, R. (eds) AI 2005: Advances in Artificial Intelligence. AI 2005. Lecture Notes in Computer Science(), vol 3809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11589990_197
Download citation
DOI: https://doi.org/10.1007/11589990_197
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30462-3
Online ISBN: 978-3-540-31652-7
eBook Packages: Computer ScienceComputer Science (R0)