Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:A1L-C

Session:

Number:53

Experimental Characterization of Synchronization in Networks of Non Linear Oscillators with Dynamic Links

Massimiliano de Magistris,  Mario di Bernardo,  Carlo Petrarca,  

pp.53-56

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.53

PDF download (679.2KB)

This paper presents experimental results on the characterization of dynamics and synchronization of networks of nonlinear oscillators with dynamic links. The results are obtained using a new experimental setup. Accurate evaluation of synchronization with dynamic coupling is reported, with reference to a network of Chua oscillators, each settled onto a periodic orbit. The observed synchronization levels, as function of the dynamic link parameters, give a picture of the synchronization area in parameter space which is in agreement with previous theoretical predictions.

[1] S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.-U. Hwang, Complex networks: Structure and dynamics, Physics Reports, Volume 424, Issues 4-5, pp. 175-308, 2006.

[2] A. Pikovsky, M. Rosenblum and J Kurths, “Synchronization. A universal concept in nonlinear sciences” Cambridge University Press, 2001.

[3] L.O. Chua, L. Kocarev, K. Eckert, and M. Itoh, “Experimental chaos synchronization in Chua's circuit” International Journal of Bifurcation and Chaos, 2:705-708, 1992.

[4] C Posadas-Castillo, C Cruz-Hernández, R.M. López-Gutiérrez, “Experimental realization of synchronization in complex networkswith Chus's circuits like nodes”, Chaos Solitons & Fractals, vol 40, n 4, 2009.

[5] A. Tar, G. Gandhi, G Cserey. Hardware implementation of CNN architecture-based test bed for studying synchronization phenomenon in oscillatory and chaotic networks. Int. J. Circuit Theory Appl. 37, 4 (May 2009), 529-542.

[6] M. de Magistris, M. di Bernardo, S. Manfredi, E. Di Tucci, “Synchronization of Networks of Non-Identical Chua's Circuits: Analysis and Experiments”, IEEE Trans. On Circuits and Systems I: Regular Papers, DOI 10.1109/TCSI.2012.2185279, 2012

[7] M. Righero, F. Corinto, M. Biey, “Master Stability Function for networks of Chua’s circuits with static and dynamic couplings,” Circuits and Systems (ISCAS), 2011 IEEE International Symposium on, vol., no., pp.737-740, 15-18 May 2011

[8] M.P, Kennedy. Robust Op-Amp realization of Chua's circuit. Frequenz 1992;46:66-80.

[9] L.A. Aguirre, L.A.B. Torres, “Inductorless Chua's circuit”, Electronic Letters, 36(23):1915-1916, 2000.