Special Session 130: kinetic theory, analysis and application

Random Winfree dynamics with high-order couplings

Jaeyoung Yoon
Technical University of Munich
Germany
Co-Author(s):    Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon and Mattia Zanella
Abstract:
Recently, Winfree dynamics with high-order couplings was studied for better description of nature communications. Of particular interest in this work is the random order, which means order of coupling is regarded as a random variable. We derive the sufficient conditions under which the random Winfree dynamics converges to death-state stably and compare the theoretical results with numeric simulations.