Mutual synchronization in 4 coupled oscillators with different natural frequencies

Seiichiro Moro, Shinsaku Mori, Iwao Sasase

Research output: Contribution to journalConference article

1 Citation (Scopus)


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
Pages (from-to)534-537
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 1998 Jan 1
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


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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