Abstract
A nonlinear type open-plus-closed-loop (OPCL) coupling is investi-gated for antisynchronization of two complex networks under unidirectional and bidirectional interactions where each node of the networks is considered as a continuous dynamical system. We present analytical results for antisynchroni-zation in identical networks. A numerical example is given for unidirectional coupling with each node represented by a spiking-bursting type Hindmarsh-Rose neuron model. Antisynchronization for mutual interaction is allowed only to inversion symmetric dynamical systems as chosen nodes.
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References
Boccaletti, S., Laora, V., Moreno, Y., Chavez, M., Hwang, D.U.: Phy. Rep. 424, 175, (2006)
Albert, R., Barabási, A.L.: Rev. Mod. Phys. 74, 47 (2002)
Newman, M.E.J., Watts, D.J.: Phys. Lett. A 263, 341 (1999)
Watts, D.J., Srogatz, S.H.: Nature (London) 393, 440 (1998)
Newman, M.E.J.: SIAM Rev. 45, 167 (2003)
Barabási, A.L., Albert, R., Jeong, H.: Phys. Lett. A 272, 173 (1999)
Albert, R., Barabási, A.L.: Science 286, 509 (1999)
Erdos, P., Renyi, A.: Publ. Math. Inst. Hung. Acad. Sci. 5, 7 (1960)
Suykens, J.A.K., Osipov, G.V. (eds.): Focus issue on Synchronization in Complex Networks. Chaos 18(3) (2008)
Motter, A., Matías, M.A., Kurths, J., Ott, E.: Focus issue on Dynamics on Complex networks and Applications. Physica D 224 (1-2) (2006)
Wang, X.F., Chen, G.: Int. J. Bifur. Chaos 12, 885 (2002)
Restrepo, J.G., Ott, E., Hunt, B.R.: Physica D 224, 114 (2006)
Zhou, C.S., Motter, A.E., Kurths, J.: Phy. Rev. Lett. 96, 034101 (2006)
Li, X., Chen, G.: IEEE Trans. Cir. Systs. 50 (11), 1381–1390 (2003)
Li, C., Sun, W., Kurths, J.: Phy. Rev. E 76, 046204 (2007)
Jackson, E.A., Grosu, I.: Physica D 85, 1 (1995)
Grosu, I.: Phy. Rev. E 56, 3709 (1997)
Grosu, I., Padmanaban, E., Roy, P.K., Dana, S.K.: Phy. Rev. Lett. 100, 0234102 (2008)
Hindmarsh, J.L., Rose, R.M.: Proc. R. Soc. London, Ser. B 221, 87 (1984)
Lerescu, A.I., Oancea, S., Grosu, I.: Phy. Lett. A 352, 222 (2006)
Grosu, I.: Int. J. Bifur. Chaos 17 (10), 3519 (2007)
Banerjee, R., Grosu, I., Roy, P.K., Dana, S.K. (submitted)
Belykh, V.N., Belykh, I.V., Hasler, M.: Phy. Rev. E 62, 6332 (2000)
Thomas, R., Kaufman, M.: Chaos 11, 170 (2001)
Roy, P.K., Mukherjee, T.K., Dana, S.K.: Proc. Nat. Conf. Nonlin. Syst. Dynamics, India (2008)
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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Banerjee, R., Grosu, I., Dana, S.K. (2009). Antisynchronization of Two Complex Dynamical Networks. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_107
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DOI: https://doi.org/10.1007/978-3-642-02466-5_107
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