Robustness and Fragility of a New Local-World Dynamical Network Model

In the paper, we have proposed a local-world synchronization-preferential growth topology model. The synchronizability of a class of continuous-time local-world dynamical networks is investigated. Then it has been found that the synchronizability of the dynamical network with the local-world synchronization-preferential mechanism is robust against not only the random removal of vertices but also the specific removal of those most connected vertices.

[1]  P. Erdos,et al.  On the evolution of random graphs , 1984 .

[2]  Jurgen Kurths,et al.  Synchronization in complex networks , 2008, 0805.2976.

[3]  Xiang Li,et al.  A local-world evolving network model , 2003 .

[4]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[5]  B. Bollobás.  The evolution of random graphs , 1984 .

[6]  A. Rbnyi.  ON THE EVOLUTION OF RANDOM GRAPHS , 2001 .

[7]  S. Strogatz.  Exploring complex networks , 2001, Nature.

[8]  Mauricio Barahona,et al.  Synchronization in small-world systems. , 2002, Physical review letters.

[9]  Yunong Zhang,et al.  A comprehensive multi-local-world model for complex networks , 2009 .

[10]  Zengqiang Chen,et al.  Error and attack tolerance of evolving networks with local preferential attachment , 2007 .

[11]  Xiao Fan Wang,et al.  Synchronization in scale-free dynamical networks: robustness and fragility , 2001, cond-mat/0105014.

[12]  G. B. A. Barab'asi.  Competition and multiscaling in evolving networks , 2000, cond-mat/0011029.

[13]  Peizhong Liu,et al.  Synchronization in a Novel Local-World Dynamical Network Model , 2014 .

[14]  Xiang Li,et al.  On synchronous preference of complex dynamical networks , 2005 .

[15]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[16]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[17]  Jitao Sun,et al.  A local-world node deleting evolving network model , 2008 .

[18]  L. Chua,et al.  Synchronization in an array of linearly coupled dynamical systems , 1995 .