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Synchronization in a pool of mutually coupled oscillators with random frequencies

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Abstract

An exact solution to a model of mutually interacting sinusoidal oscillators is found. Limits on the variation of the native frequencies are determined in order for synchronization to occur. These limits are computed for different distributions of native frequencies.

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References

  1. Aizawa, Y.: Synergetic approach to the phenomena of mode-locking in nonlinear systems. Prog. Theor. Phys. 56, 703–716 (1976)

    Google Scholar 

  2. Cohen, A. H., Holmes, P. J., Rand, R. H.: The nature of coupling between sequential oscillators of the lamprey spinal generator. J. Math. Biol. 13, 345–369 (1982)

    Google Scholar 

  3. Ermentrout, G. B., Kopell, N.: Frequency plateaus in a chain of weakly coupled oscillators. I. SIAM J. Math. Anal. 15, 215–237 (1984)

    Google Scholar 

  4. Ermentrout, G. B., Kopell, N.: (1984) (Preprint.)

  5. Kuramoto, Y.: Self-entrainment of a population of coupled non-linear oscillators, In: “Mathematical Problems in Theoretical Physics”, Araki, H, ed. Berlin, Heidelberg, New York, Springer, p. 420. (1975)

    Google Scholar 

  6. Neu, J. C.: Large populations of coupled chemical oscillations. SIAM J. Appl. Math. 38, 305–316 (1979)

    Google Scholar 

  7. Winfree, A. T.: The Geometry of Biological Time, Berlin, Heidelberg, New York, Springer, Chapter 4 (1980)

    Google Scholar 

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This research was supported by NSF Award No. MCS8300885 and the Alfred Sloan Foundation.

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Ermentrout, G.B. Synchronization in a pool of mutually coupled oscillators with random frequencies. J. Math. Biology 22, 1–9 (1985). https://doi.org/10.1007/BF00276542

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  • DOI: https://doi.org/10.1007/BF00276542

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