Perturbation in Population of Pulse-Coupled Oscillators Leads to Emergence of Structure
AbstractA new synchronization model based on pulse-coupled oscillators is proposed. A population of coupled oscillators is represented as a cellular automaton. Each cell periodically enters a firing state. Firing of a cell is sensed by other cells in a neighborhood of radius R. As a result the sensing cell may change its firing rate. The interaction strength between a firing and a sensing cell decreases with the squared distance between the two cells. For most starting conditions waves of synchronized firing cells emerge. Simulations indicate that for certain parameter values the emergence of synchronization waves occurs only if there is dispersion in the intrinsic firing frequencies of the cells. Emergence of synchronization waves is an important feature of the model.
 Izhikevich, E. M.: Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory. IEEE Trans. on Neural Networks, 10(3), 508-526 (May, 1999)
 Buck, J., Buck, E., Case J., Hanson, F.: Control of repteroptyx cribellata. J. Comp. Physiology A, 144(3), 630-633 (Sep, 1981)
 Peskin C.: Mathematical aspects of heart physiology. Courant Institute of Mathematical Sciences, New York University (1975)
 Mirollo, R.E., Strogatz, S.H.: Synchronization of pulse-coupled biological oscillators, SIAM Journal on Applied Mathematics, 50, 1645-1662 (1990)
 Strogatz, S.H.: From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators. Physica D 143, 1-20 (Sep, 2000)
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.
You are free to:
-Share: copy and redistribute the material in any medium or format;
-Adapt: remix, transform, and build upon the material.
The licensor cannot revoke these freedoms as long as you follow the license terms.
DISCLAIMER: The author(s) of each article appearing in International Journal of Computers Communications & Control is/are solely responsible for the content thereof; the publication of an article shall not constitute or be deemed to constitute any representation by the Editors or Agora University Press that the data presented therein are original, correct or sufficient to support the conclusions reached or that the experiment design or methodology is adequate.