Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:19AM2-D
Session:
Number:19AM2-D-2
Pulse Wave Propagation and Interaction Phenomenon in a Large Number of Coupled van der Pol Oscillator Lattice
Kuniyasu Shimizu, Tetsuro Endo, Daishin Ueyama,
pp.457-460
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.19AM2-D-2
Summary:
In this paper, we investigate pulse wave propagation and pulse wave interaction phenomenon in a large number of coupled van der Pol oscillator lattice with hard-type nonlinearity. We demonstrate numerically that there exists a pulse wave which propagates with a constant speed, when ε (= a parameter which shows the degree of nonlinearity) exceeds a certain critical value. Moreover, We find that collision of these pulse waves result in various phenomena such as repulsion, unification, disappearance, standing waves, etc. depending on the value of ε.