Synchronization of 3D CNNs in irregulars array

In this paper, synchronization in coupled irregularly arrays of 3D cellular neural networks (CNNs) is numerically studied. Chaotic synchronization of 3D CNNs is achieved by appealing to complex systems theory. In particular, we consider complex dynamical networks composed by 3D CNNs, as interconnected nodes, where the interactions in the networks are defined by coupling the first state of each node. We impose the particular dynamics of a master node to multiple slave nodes in complex networks.

[1]  Zhenya He,et al.  A chaos-generator: analyses of complex dynamics of a cell equation in delayed cellular neural networks , 1998 .

[2]  Reinhard Diestel,et al.  Graph Theory , 1997 .

[3]  Luigi Fortuna,et al.  The CNN Paradigm for Complexity , 2008 .

[4]  César Cruz-Hernández,et al.  Synchronization of Chaotic Neural Networks: A Generalized Hamiltonian Systems Approach , 2007, Hybrid Intelligent Systems.

[5]  Her-Terng Yau,et al.  Chaos synchronization of different chaotic systems subjected to input nonlinearity , 2008, Appl. Math. Comput..

[6]  César Cruz-Hernández,et al.  Synchronization of Time-Delay Chua's Oscillator with Application to Secure Communication , 2004 .

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

[8]  Leon O. Chua,et al.  The analogic cellular neural network as a bionic eye , 1995, Int. J. Circuit Theory Appl..

[9]  J.-K. Lee,et al.  Chaos synchronization and parameter identification for gyroscope system , 2005, Appl. Math. Comput..

[10]  Henk Nijmeijer,et al.  An observer looks at synchronization , 1997 .

[11]  H. Nijmeijer,et al.  Cooperative oscillatory behavior of mutually coupled dynamical systems , 2001 .

[12]  Henk Nijmeijer,et al.  Synchronization through Filtering , 2000, Int. J. Bifurc. Chaos.

[13]  R. M. López-Gutiérrez,et al.  Experimental realization of synchronization in complex networks with Chua’s circuits like nodes , 2009 .

[14]  Yaneer Bar-Yam,et al.  Dynamics Of Complex Systems , 2019 .

[15]  Pogromskiy.  Cooperative oscillatory behavior of mutually coupled dynamical systems , 2005 .

[16]  Yong Chen,et al.  Generalized Q-S (lag, anticipated and complete) synchronization in modified Chua's circuit and Hindmarsh-Rose systems , 2006, Appl. Math. Comput..

[17]  César Cruz-Hernández,et al.  Output Synchronization of Chaotic Systems: Model-Matching Approach with Application to Secure Communication , 2005 .

[18]  C. Posadas-Castillo,et al.  Synchronization in a Network of Chaotic Solid-State Nd:YAG Lasers , 2008 .

[19]  D. López-Mancilla,et al.  Output synchronization of chaotic systems under nonvanishing perturbations , 2008 .

[20]  R. M. López-Gutiérrez,et al.  Synchronization of chaotic solid-state Nd:YAG lasers: Application to secure communication , 2008 .

[21]  César Cruz-Hernández,et al.  Synchronization in Arrays of Chaotic Neural Networks , 2007, IFSA.

[22]  Henk Nijmeijer,et al.  Synchronization through extended Kalman filtering , 1999 .

[23]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.

[24]  Xiao-Song Yang,et al.  Horseshoe Chaos in Cellular Neural Networks , 2006, Int. J. Bifurc. Chaos.

[25]  L. Pei,et al.  Synchronization of chaotic systems: a generalized Hamiltonian systems approach , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).