Mutual synchronization in 4 coupled oscillators with different natural frequencies

Seiichiro Moro, Shinsaku Mori, Iwao Sasase

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, we investigate the synchronization phenomena in 4 oscillators with different natural frequencies full-coupled by capacitors. When there is no natural frequency difference among the oscillators, 4-phase oscillation is not stable. In this system, however, because the frequencies of the oscillators have a slight difference, nearly sinusoidal 4-phase oscillations are stably excited. Moreover we have proved the stability of 4-phase solutions by calculating the stability of the fixed points and considered why frequency locking occurs. From the results we can confirm that 4-phase oscillations can be excited when the symmetry of the system collapses.

Original languageEnglish
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
Editors Anon
PublisherIEEE
Pages534-537
Number of pages4
Volume3
Publication statusPublished - 1998
EventProceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6) - Monterey, CA, USA
Duration: 1998 May 311998 Jun 3

Other

OtherProceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6)
CityMonterey, CA, USA
Period98/5/3198/6/3

Fingerprint

Natural frequencies
Synchronization
Capacitors

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this

Moro, S., Mori, S., & Sasase, I. (1998). Mutual synchronization in 4 coupled oscillators with different natural frequencies. In Anon (Ed.), Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 3, pp. 534-537). IEEE.

Mutual synchronization in 4 coupled oscillators with different natural frequencies. / Moro, Seiichiro; Mori, Shinsaku; Sasase, Iwao.

Proceedings - IEEE International Symposium on Circuits and Systems. ed. / Anon. Vol. 3 IEEE, 1998. p. 534-537.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Moro, S, Mori, S & Sasase, I 1998, Mutual synchronization in 4 coupled oscillators with different natural frequencies. in Anon (ed.), Proceedings - IEEE International Symposium on Circuits and Systems. vol. 3, IEEE, pp. 534-537, Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6), Monterey, CA, USA, 98/5/31.
Moro S, Mori S, Sasase I. Mutual synchronization in 4 coupled oscillators with different natural frequencies. In Anon, editor, Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 3. IEEE. 1998. p. 534-537
Moro, Seiichiro ; Mori, Shinsaku ; Sasase, Iwao. / Mutual synchronization in 4 coupled oscillators with different natural frequencies. Proceedings - IEEE International Symposium on Circuits and Systems. editor / Anon. Vol. 3 IEEE, 1998. pp. 534-537
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