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Attracting Cycles and Isochrons

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The Geometry of Biological Time

Part of the book series: Biomathematics ((SSE))

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Abstract

In Section A of this chapter we associate a phase with each state of a limit cycle oscillator during dynamics in the absence of any perturbing influence. In Section B a stimulus smoothly alters the trajectories so that phase changes in peculiar ways, even discontinuously. This analysis is intended to apply to smooth dynamics. Accordingly, in Section C references are compiled to models which violate this precondition and thus do not fall within the purview of this chapter.

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© 1980 Springer Science+Business Media New York

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Winfree, A.T. (1980). Attracting Cycles and Isochrons. In: The Geometry of Biological Time. Biomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22492-2_7

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  • DOI: https://doi.org/10.1007/978-3-662-22492-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52528-8

  • Online ISBN: 978-3-662-22492-2

  • eBook Packages: Springer Book Archive

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