Summary

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

2012

Session Number:B1L-D

Session:

Number:348

Synchronization induced by common colored noise on electric circuits

Tsubasa Kawai,  Wataru Kurebayashi,  Kantaro Fujiwara,  Kenya Jin'no,  Yoshihiko Horio,  Tohru Ikeguchi,  

pp.348-351

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.348

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Summary:
Synchronization is common phenomena in various systems, such as mechanical systems, biological systems, electrical systems and so on. These synchronizations are typically caused by mutual couplings between oscillators. In contrast, synchronization by common white noise, which is different from the synchronization by mutual couplings, has been observed in neurons and electrical circuits. In this paper, we investigated synchronization by common colored noise using electric circuits. We used square-wave oscillators by operational amplifiers and 1/ƒ noise as colored noise. In the experiments, we applied the 1/ƒ noise to two square-wave oscillators, measured outputs voltage from the oscillators, and calculated a phase difference between the oscillators. As a result, we confirmed that synchronizations by common colored noise of 1/ƒ noise are observed from the electric circuits. The results indicate that the theory of synchronization by common colored noise can also be applied to real systems, such as electric circuits.

References:

[1] A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization a universal concept in nonlinear sciences, Cambridge University Press, 2003.

[2] J. Panteleone, Synchronization of metronomes, American Journal of Physics, 78, 992, 2002.

[3] Synchronization of ten metronomes, URL:http://www.youtube.com/watch?v=9-jfla4FHSs

[4] I. Aihara, Modeling synchronized calling behavior of Japanese tree frogs, Physical Review E, 80, 011918, 2009.

[5] I. Aihara et al. , Complex and transitive synchronization in a frustrated system of calling frogs, Physical Review E, 83, 031913, 2011.

[6] F. E. Hanson, J. F. Case, E. Buck and J. Buck, Synchrony and flash entrainment in a New Guinea firefly, Science, 174, 161, 1971

[7] Z. F. Mainen and T. J. Sejnowski, Reliability of spike timing in neocortical neurons, Science, 268, 1503, 1995.

[8] A. B. Neiman and D. F. Russell, Synchronization of Noise-Induced Bursts in Noncoupled Sensory Neurons, Physical Review Letters, 88, 138103, 2002.

[9] J. Teramae and D. Tanaka, Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators, Physical Review Letters, 93, 204103, 2004.

[10] K. Yoshida, K. Sato, and A. Sugamata, Noise-induced synchronization of uncoupled nonlinear systems, Journal of Sound and Vibration, 290, 34-47, 2006.

[11] K. Arai and H. Nakao, Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses, Physical Review E, 77, 036218, 2008.

[12] J. Teramae and D. Tanaka, Noise induced phase synchronization of a general class of limit cycle oscillators, Progress of theoretical physics-Supplement, 161, 360, 2006.

[13] W. Kurebayashi, K. Fujiwara, and T. Ikeguchi, Colored noise induces synchronization of limit cycle oscillators, Europhysics Letters, 97, 50009, 2012.

[14] K. Nagai and H. Nakao, Experimental synchronization of circuit oscillations induced by common telegraph noise Physical Review E, 79, 036205, 2009.