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Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology (1979)

Grasman, J. ; Jansen, M. J. W.

Springer

Journal of mathematical biology 7 (1979), S. 171-197

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ISSN: 1432-1416

Keywords: Frequency entrainment ; Asymptotic methods ; Van der Pol equation

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Summary This paper discusses the analogy between phenomena in populations of coupled biological oscillators and the behaviour of systems of synchronized mathematical oscillators. Frequency entrainment in a set of coupled relaxation oscillators is investigated with perturbation methods. This analysis leads to quantitative results for entrainment and explains phenomena such as travelling waves in systems of spatially distributed oscillators.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00276928

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