Outer synchronization of networks with different node dynamics

Abstract A new type of outer synchronization between two distinct networks, composed of different classes of oscillators is investigated with the help of open plus closed loop approach, proposed earlier by Jackson and Grosu. It is further assumed that all the members of the network differ in their parameter values. Asymptotic stability of the zero solution of the error equation is proved analytically. Numerical simulation reveals that the same type of members of the two networks gets synchronized.

[1]  E. Atlee Jackson,et al.  An open-plus-closed-loop (OPCL) control of complex dynamic systems , 1995 .

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

[3]  Jürgen Kurths,et al.  Synchronization between two coupled complex networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Jürgen Kurths,et al.  Synchronization of complex dynamical networks with time delays , 2006 .

[5]  W. Zheng,et al.  Generalized outer synchronization between complex dynamical networks. , 2009, Chaos.

[6]  Daolin Xu,et al.  Synchronization of Complex Dynamical Networks with Nonlinear Inner-Coupling Functions and Time Delays , 2005 .

[7]  Fang Jin-qing,et al.  Synchronization and Bifurcation of General Complex Dynamical Networks , 2007 .

[8]  Cristina Masoller,et al.  Synchronization in an array of globally coupled maps with delayed interactions , 2003 .

[9]  Chunguang Li,et al.  Synchronization in general complex dynamical networks with coupling delays , 2004 .

[10]  Cristina Masoller,et al.  Synchronization of globally coupled non-identical maps with inhomogeneous delayed interactions , 2004 .

[11]  Adilson E Motter,et al.  Heterogeneity in oscillator networks: are smaller worlds easier to synchronize? , 2003, Physical review letters.

[12]  Guanrong Chen,et al.  Chaos synchronization of general complex dynamical networks , 2004 .

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

[14]  C Masoller,et al.  Delay-induced synchronization phenomena in an array of globally coupled logistic maps. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Xiao Fan Wang,et al.  Complex Networks: Topology, Dynamics and Synchronization , 2002, Int. J. Bifurc. Chaos.

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

[17]  Changsong Zhou,et al.  Universality in the synchronization of weighted random networks. , 2006, Physical review letters.

[18]  Changsong Zhou,et al.  Dynamical weights and enhanced synchronization in adaptive complex networks. , 2006, Physical review letters.

[19]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[20]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

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

[22]  R. E. Amritkar,et al.  Self-organized and driven phase synchronization in coupled maps. , 2002, Physical review letters.

[23]  Qinghua Ma,et al.  Mixed outer synchronization of coupled complex networks with time-varying coupling delay. , 2011, Chaos.

[24]  E. Atlee Jackson,et al.  The OPCL control method for entrainment, model-resonance, and migration actions on multiple-attractor systems. , 1997, Chaos.

[25]  Ping He,et al.  Finite-time mixed outer synchronization of complex networks with coupling time-varying delay. , 2012, Chaos.