PMID: 11308738Apr 20, 2001Paper

Synchronization of Kauffman networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L G Morelli, D H Zanette

Abstract

We analyze the synchronization transition for a pair of coupled identical Kauffman networks in the chaotic phase. The annealed model for Kauffman networks shows that synchronization appears through a transcritical bifurcation and provides an approximate description for the whole dynamics of the coupled networks. We show that these analytical predictions are in good agreement with numerical results for sufficiently large networks and study finite-size effects in detail. Preliminary analytical and numerical results for partially disordered networks are also presented.

References

Mar 1, 1969·Journal of Theoretical Biology·S A Kauffman
Jun 12, 1998·Nature·D J Watts, S H Strogatz
Sep 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J F HeagyL M Pecora
Nov 6, 1995·Physical Review Letters·N KhrustovaR Imbihl
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Z NédaA L Barabási

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Citations

Apr 13, 2013·Neural Networks : the Official Journal of the International Neural Network Society·Fangfei Li, Xiwen Lu
Nov 25, 2014·IEEE Transactions on Neural Networks and Learning Systems·Jie ZhongJinde Cao
May 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Rui Li, Tianguang Chu
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Rui LiTianguang Chu
Sep 1, 2015·Scientific Reports·Jianquan LuJinde Cao
Sep 6, 2014·Scientific Reports·Jianquan LuJürgen Kurths
Jan 28, 2017·IEEE Transactions on Neural Networks and Learning Systems·Hongwei ChenJianlong Qiu
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fernando J Ballesteros, Bartolo Luque
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adilson E MotterJürgen Kurths
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qi LiYing Hai Wang

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