Synchronization in an array of coupled Boolean networks

[1]  Zidong Wang,et al.  Exponential synchronization of complex networks with Markovian jump and mixed delays , 2008 .

[2]  D H Zanette,et al.  Synchronization of Kauffman networks. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  S. Bornholdt,et al.  Topological evolution of dynamical networks: global criticality from local dynamics. , 2000, Physical review letters.

[4]  B. Stigler,et al.  Boolean Models Can Explain Bistability in the lac Operon , 2008, J. Comput. Biol..

[5]  A. Goldbeter,et al.  Alternating Oscillations and Chaos in a Model of Two Coupled Biochemical Oscillators Driving Successive Phases of the Cell Cycle , 1999, Annals of the New York Academy of Sciences.

[6]  C. Wu Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic systems , 2003, nlin/0307052.

[7]  Kim Sneppen,et al.  NEUTRAL MUTATIONS AND PUNCTUATED EQUILIBRIUM IN EVOLVING GENETIC NETWORKS , 1997, physics/9708026.

[8]  Bernard Derrida,et al.  Multivalley structure in Kauffman's model: analogy with spin glasses , 1986 .

[9]  B. Derrida Dynamical phase transition in nonsymmetric spin glasses , 1987 .

[10]  Luis Mendoza,et al.  A Boolean network model of the FA/BRCA pathway , 2012, Bioinform..

[11]  Jun Wang,et al.  Chaotic Time Series Prediction Based on a Novel Robust Echo State Network , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[12]  John Maloney,et al.  Finding Cycles in Synchronous Boolean Networks with Applications to Biochemical Systems , 2003, Int. J. Bifurc. Chaos.

[13]  D. Cheng,et al.  Analysis and control of Boolean networks: A semi-tensor product approach , 2010, 2009 7th Asian Control Conference.

[14]  K. E. Kurten Correspondence between neural threshold networks and Kauffman Boolean cellular automata , 1988 .

[15]  Qianchuan Zhao,et al.  A remark on "Scalar equations for synchronous Boolean networks with biological Applications" by C. Farrow, J. Heidel, J. Maloney, and J. Rogers , 2005, IEEE Transactions on Neural Networks.

[16]  B. Stigler,et al.  NETWORK TOPOLOGY AS A DRIVER OF BISTABILITY IN THE LAC OPERON , 2008, 0807.3995.

[17]  Madalena Chaves,et al.  Robustness and fragility of Boolean models for genetic regulatory networks. , 2005, Journal of theoretical biology.

[18]  D. Irons,et al.  Logical analysis of the budding yeast cell cycle. , 2009, Journal of theoretical biology.

[19]  Yao-Chen Hung,et al.  Chaos synchronization of two stochastically coupled random Boolean networks , 2006 .

[20]  Daizhan Cheng,et al.  Controllability and observability of Boolean control networks , 2009, Autom..

[21]  Daizhan Cheng,et al.  A Linear Representation of Dynamics of Boolean Networks , 2010, IEEE Transactions on Automatic Control.

[22]  H. Othmer,et al.  The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in Drosophila melanogaster. , 2003, Journal of theoretical biology.

[23]  Zidong Wang,et al.  A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances , 2008 .

[24]  Yao-Chen Hung,et al.  Stochastic coupling of two random Boolean networks , 2005 .

[25]  Daniel W. C. Ho,et al.  Globally exponential synchronization in an array of asymmetric coupled neural networks , 2007 .

[26]  Damián H. Zanette,et al.  SYNCHRONIZATION OF STOCHASTICALLY COUPLED CELLULAR AUTOMATA , 1998 .

[27]  Yao-Chen Hung,et al.  Microscopic interactions lead to mutual synchronization in a network of networks , 2011 .

[28]  Tianguang Chu,et al.  Complete Synchronization of Boolean Networks , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[29]  E. Gardner,et al.  An Exactly Solvable Asymmetric Neural Network Model , 1987 .

[30]  M. Elowitz,et al.  Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing. , 2004, Proceedings of the National Academy of Sciences of the United States of America.