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  • Access by Xinjiang University

Threshold effects on synchronization of pulse-coupled oscillators

Chia-Chu Chen

  • Department of Physics, National Chung-Hsing University, Taichung, Taiwan, Republic of China

Phys. Rev. E 49, 2668 – Published 1 April, 1994

DOI: https://doi.org/10.1103/PhysRevE.49.2668

Abstract

The threshold effects of synchronous firing are studied in a class of models. The main result is that for almost all initial conditions, the oscillation system approaches synchrony when the threshold condition is below a critical value.

References (3)

  1. A. T. Winfree, J. Theor. Biol. 16, 15 (1967).
  2. R. E. Mirollo and S. H. Strogatz, SIAM J. Appl. Math. 50, 1645 (1990), and references therein.
  3. C. S. Peskin, Mathematical Aspects of Heart Physiology (Courant Institute of Mathematical Sciences, New York, 1975), pp. 268–278.

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