Synchronization of N-coupled fractional-order chaotic systems with ring connection

[1]  Daizhan Cheng,et al.  Bridge the Gap between the Lorenz System and the Chen System , 2002, Int. J. Bifurc. Chaos.

[2]  M. Ichise,et al.  An analog simulation of non-integer order transfer functions for analysis of electrode processes , 1971 .

[3]  Runhe Qiu,et al.  Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays☆ , 2008 .

[4]  Zidong Wang,et al.  Pinning control of fractional-order weighted complex networks. , 2009, Chaos.

[5]  R. Koeller Applications of Fractional Calculus to the Theory of Viscoelasticity , 1984 .

[6]  Ioannis M. Kyprianidis,et al.  Chaotic synchronization of three coupled oscillators with ring connection , 2003 .

[7]  Jian-an Fang,et al.  General methods for modified projective synchronization of hyperchaotic systems with known or unknown parameters , 2008 .

[8]  Albert C. J. Luo,et al.  A theory for synchronization of dynamical systems , 2009 .

[9]  Yuh-Shyan Chen,et al.  RAA: A Ring-Based Address Autoconfiguration Protocol in Mobile Ad Hoc Networks , 2005, MSN.

[10]  Guanrong Chen,et al.  Complex networks: small-world, scale-free and beyond , 2003 .

[11]  Junguo Lu Chaotic dynamics of the fractional-order Lü system and its synchronization , 2006 .

[12]  I. Podlubny Fractional differential equations , 1998 .

[13]  José Manoel Balthazar,et al.  Synchronization of the unified chaotic system and application in secure communication , 2009 .

[14]  Junwei Wang,et al.  Designing synchronization schemes for chaotic fractional-order unified systems , 2006 .

[15]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[16]  N. Ford,et al.  A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .

[17]  Samuel Pierre,et al.  Link-State-Based Algorithms for Dynamic Routing in All-Optical Networks with Ring Topologies , 2006, Photonic Network Communications.

[18]  Changpin Li,et al.  Chaos in Chen's system with a fractional order , 2004 .

[19]  Fang Jian-an,et al.  Synchronization of stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays , 2008 .

[20]  R. Hilfer Applications Of Fractional Calculus In Physics , 2000 .

[21]  Zheng-Ming Ge,et al.  Chaos synchronization of fractional order modified duffing systems with parameters excited by a chaotic signal , 2008 .

[22]  D. Kusnezov,et al.  Quantum Levy Processes and Fractional Kinetics , 1999, chao-dyn/9901002.

[23]  Zheng-Ming Ge,et al.  Chaos in a modified van der Pol system and in its fractional order systems , 2007 .

[24]  Yang Tang,et al.  Synchronization of Stochastic Delayed Neural Networks with Markovian Switching and its Application , 2009, Int. J. Neural Syst..

[25]  B. Onaral,et al.  Linear approximation of transfer function with a pole of fractional power , 1984 .

[26]  Yang Tang,et al.  On the exponential synchronization of stochastic jumping chaotic neural networks with mixed delays and sector-bounded non-linearities , 2009, Neurocomputing.

[27]  Juebang Yu,et al.  Synchronization of fractional-order chaotic systems , 2005, Proceedings. 2005 International Conference on Communications, Circuits and Systems, 2005..

[28]  M. Caputo Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .

[29]  Chyi Hwang,et al.  A note on time-domain simulation of feedback fractional-order systems , 2002, IEEE Trans. Autom. Control..

[30]  U. Vincent,et al.  A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems , 2009 .

[31]  Guanrong Chen,et al.  Synchronization stability of three chaotic systems with linear coupling , 2002 .

[32]  N. Laskin Fractional market dynamics , 2000 .

[33]  R. Bagley,et al.  Fractional order state equations for the control of viscoelasticallydamped structures , 1991 .

[34]  N. Ford,et al.  Analysis of Fractional Differential Equations , 2002 .

[35]  Jun-Guo Lu,et al.  Chaotic dynamics and synchronization of fractional-order Arneodo’s systems , 2005 .

[36]  Changpin Li,et al.  The synchronization of three fractional differential systems , 2007 .

[37]  Yuan Kang,et al.  Chaos in the Newton–Leipnik system with fractional order , 2008 .

[38]  G. Zaslavsky Chaos, fractional kinetics, and anomalous transport , 2002 .

[39]  Paul Woafo,et al.  Chaotic synchronization with experimental application to secure communications , 2009 .

[40]  T. Hartley,et al.  Dynamics and Control of Initialized Fractional-Order Systems , 2002 .